Practice Question on Statistics - Class 9 (Mathematics) Class 9 Notes | EduRev

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Class 9 : Practice Question on Statistics - Class 9 (Mathematics) Class 9 Notes | EduRev

 Page 1


IX Mathematics C.B.S.E. Practice Papers Page 94 
14. Statistics 
Q 1 Define array or arrayed data.  
Mark (1) 
Q 2 Define frequency.  
Mark (1) 
Q 3 Write the relation between class mark, lower limit and upper limit of a class interval.  
Mark (1) 
Q 4 Define primary data.  
Marks (2) 
Q 5 Define secondary data. How it is differ from the primary data?  
Marks (2) 
Q 6 Find the mode of the following data :   
Marks Number of students 
48 4 
49 10 
50 12 
51 10 
52 10 
How many students are there whose marks are less than the modal value? 
Marks (2) 
Q 7 Following data represents the favourite fruit liked by 20 children.  
 
P G A M M P A M G M A M M M M M A A P G. 
Make a frequency table to find how many more children chose apple as their favourite fruit than pomegranate. Marks (2) 
Q 8 Make a bar graph of the given data.              
 
Marks (2) 
 
  
 
 
Q 9 Following frequency table represents the number of students in each section of class 9th of ABC school. Find the mean number of 
students per sections.  
Number of Student Per Section 
Section A 20 
Section B 18 
Section C 25 
Section D 22 
Section E 20 
Marks (2) 
Instrument Frequency 
clarinet 11 
flute 18 
trumpet 7 
violin 5 
Page 2


IX Mathematics C.B.S.E. Practice Papers Page 94 
14. Statistics 
Q 1 Define array or arrayed data.  
Mark (1) 
Q 2 Define frequency.  
Mark (1) 
Q 3 Write the relation between class mark, lower limit and upper limit of a class interval.  
Mark (1) 
Q 4 Define primary data.  
Marks (2) 
Q 5 Define secondary data. How it is differ from the primary data?  
Marks (2) 
Q 6 Find the mode of the following data :   
Marks Number of students 
48 4 
49 10 
50 12 
51 10 
52 10 
How many students are there whose marks are less than the modal value? 
Marks (2) 
Q 7 Following data represents the favourite fruit liked by 20 children.  
 
P G A M M P A M G M A M M M M M A A P G. 
Make a frequency table to find how many more children chose apple as their favourite fruit than pomegranate. Marks (2) 
Q 8 Make a bar graph of the given data.              
 
Marks (2) 
 
  
 
 
Q 9 Following frequency table represents the number of students in each section of class 9th of ABC school. Find the mean number of 
students per sections.  
Number of Student Per Section 
Section A 20 
Section B 18 
Section C 25 
Section D 22 
Section E 20 
Marks (2) 
Instrument Frequency 
clarinet 11 
flute 18 
trumpet 7 
violin 5 
IX Mathematics C.B.S.E. Practice Papers Page 95 
Q 10 The table below shows the age of seven students      participating in a music recital. Find the median   and mode of the data.      
  
 Marks (2) 
Q 11 Find the median and mode of the speeds displayed in the graph.   
 
Marks (2) 
Q 12 Make the frequency polygon of the given data.                                                                                       
Class-Intervals Frequency 
0 – 10 9 
10 – 20 14 
20 – 30 8 
30 – 40 10 
40 – 50 9 
Marks (2) 
Q 13 The weights of new born babies (in kg) in a hospital on a particular day are as follows:  
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4 
1.     Determine the range. 
2.     How many babies have weight below 2.5 kg. 
3.     How many babies have weight more than 2.8 kg. Marks (3) 
Q 14 The class- marks of a distribution are 26,31,36,41,46,51,56,61,66,71.Find the true class limits. Marks (3) 
Q 15 The bar graph shown in figure represents the circulation of newspaper  in 5 languages. Study the bar graph and answer the 
following  questions:   
  
 (i) What is the total number of newspapers published in Hindi, English,Urdu, Punjabi and Bengali? 
Age (years) 
12   10   9   10   11    8   13 
Page 3


IX Mathematics C.B.S.E. Practice Papers Page 94 
14. Statistics 
Q 1 Define array or arrayed data.  
Mark (1) 
Q 2 Define frequency.  
Mark (1) 
Q 3 Write the relation between class mark, lower limit and upper limit of a class interval.  
Mark (1) 
Q 4 Define primary data.  
Marks (2) 
Q 5 Define secondary data. How it is differ from the primary data?  
Marks (2) 
Q 6 Find the mode of the following data :   
Marks Number of students 
48 4 
49 10 
50 12 
51 10 
52 10 
How many students are there whose marks are less than the modal value? 
Marks (2) 
Q 7 Following data represents the favourite fruit liked by 20 children.  
 
P G A M M P A M G M A M M M M M A A P G. 
Make a frequency table to find how many more children chose apple as their favourite fruit than pomegranate. Marks (2) 
Q 8 Make a bar graph of the given data.              
 
Marks (2) 
 
  
 
 
Q 9 Following frequency table represents the number of students in each section of class 9th of ABC school. Find the mean number of 
students per sections.  
Number of Student Per Section 
Section A 20 
Section B 18 
Section C 25 
Section D 22 
Section E 20 
Marks (2) 
Instrument Frequency 
clarinet 11 
flute 18 
trumpet 7 
violin 5 
IX Mathematics C.B.S.E. Practice Papers Page 95 
Q 10 The table below shows the age of seven students      participating in a music recital. Find the median   and mode of the data.      
  
 Marks (2) 
Q 11 Find the median and mode of the speeds displayed in the graph.   
 
Marks (2) 
Q 12 Make the frequency polygon of the given data.                                                                                       
Class-Intervals Frequency 
0 – 10 9 
10 – 20 14 
20 – 30 8 
30 – 40 10 
40 – 50 9 
Marks (2) 
Q 13 The weights of new born babies (in kg) in a hospital on a particular day are as follows:  
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4 
1.     Determine the range. 
2.     How many babies have weight below 2.5 kg. 
3.     How many babies have weight more than 2.8 kg. Marks (3) 
Q 14 The class- marks of a distribution are 26,31,36,41,46,51,56,61,66,71.Find the true class limits. Marks (3) 
Q 15 The bar graph shown in figure represents the circulation of newspaper  in 5 languages. Study the bar graph and answer the 
following  questions:   
  
 (i) What is the total number of newspapers published in Hindi, English,Urdu, Punjabi and Bengali? 
Age (years) 
12   10   9   10   11    8   13 
IX Mathematics C.B.S.E. Practice Papers Page 96 
(ii) State the language in which the largest number of news papers is    published. 
(iii) State the language in which the number of newspapers published is  minimum. 
Marks (3) 
Q 16 Prepare a frequency distribution from the following data by taking the class intervals.  
Mid points Frequency 
5 3 
15 9 
25 15 
35 10 
45 6 
55 4 
  Total = 47 
Marks (3) 
Q 17  Mean of 18 numbers is 57. If 9 is added to each number,      find the new mean.  
Marks (3) 
Q 18  Prove that the sum of the deviations of individual observations from          their mean is zero.  
Marks (3) 
Q 19 The median of the following observation arranged in ascending order is 22. Find x. 
8, 11, 13, 15, x+1, x+3, 30,35,40,43  
Marks (3) 
Q 20 1. If the mean of the following data is 20.2, find the value of p:                                                                  
X 10 15 20 25 30 
f 6 8 p 10 6 
Marks (4) 
 Q 21  The water bills of 32 houses in a colony for a period is given below : 
56, 43, 32, 38, 56, 22 ,68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, 30, 54, 65, 45, 67, 95, 72, 43, 65, 35, 59 .  
Tabulate the data and present the data as a cumulative frequency table using 70-79 as one of the class intervals.  
Marks (4) 
Q 22 Construct a frequency polygon for the following data: 
Age ( in years) Frequency 
  
0-2        4 
2-4        2 
4-6      12 
6-8      18 
8-10      25 
Marks (4) 
Q 23 The population of a state in different census years is as given below:  
Census year 1981 1982 1983 1984 1985 
Population in Lakhs    30   50   70   110   150 
Represent the above information with the help of bar graph.          Marks (4) 
Page 4


IX Mathematics C.B.S.E. Practice Papers Page 94 
14. Statistics 
Q 1 Define array or arrayed data.  
Mark (1) 
Q 2 Define frequency.  
Mark (1) 
Q 3 Write the relation between class mark, lower limit and upper limit of a class interval.  
Mark (1) 
Q 4 Define primary data.  
Marks (2) 
Q 5 Define secondary data. How it is differ from the primary data?  
Marks (2) 
Q 6 Find the mode of the following data :   
Marks Number of students 
48 4 
49 10 
50 12 
51 10 
52 10 
How many students are there whose marks are less than the modal value? 
Marks (2) 
Q 7 Following data represents the favourite fruit liked by 20 children.  
 
P G A M M P A M G M A M M M M M A A P G. 
Make a frequency table to find how many more children chose apple as their favourite fruit than pomegranate. Marks (2) 
Q 8 Make a bar graph of the given data.              
 
Marks (2) 
 
  
 
 
Q 9 Following frequency table represents the number of students in each section of class 9th of ABC school. Find the mean number of 
students per sections.  
Number of Student Per Section 
Section A 20 
Section B 18 
Section C 25 
Section D 22 
Section E 20 
Marks (2) 
Instrument Frequency 
clarinet 11 
flute 18 
trumpet 7 
violin 5 
IX Mathematics C.B.S.E. Practice Papers Page 95 
Q 10 The table below shows the age of seven students      participating in a music recital. Find the median   and mode of the data.      
  
 Marks (2) 
Q 11 Find the median and mode of the speeds displayed in the graph.   
 
Marks (2) 
Q 12 Make the frequency polygon of the given data.                                                                                       
Class-Intervals Frequency 
0 – 10 9 
10 – 20 14 
20 – 30 8 
30 – 40 10 
40 – 50 9 
Marks (2) 
Q 13 The weights of new born babies (in kg) in a hospital on a particular day are as follows:  
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4 
1.     Determine the range. 
2.     How many babies have weight below 2.5 kg. 
3.     How many babies have weight more than 2.8 kg. Marks (3) 
Q 14 The class- marks of a distribution are 26,31,36,41,46,51,56,61,66,71.Find the true class limits. Marks (3) 
Q 15 The bar graph shown in figure represents the circulation of newspaper  in 5 languages. Study the bar graph and answer the 
following  questions:   
  
 (i) What is the total number of newspapers published in Hindi, English,Urdu, Punjabi and Bengali? 
Age (years) 
12   10   9   10   11    8   13 
IX Mathematics C.B.S.E. Practice Papers Page 96 
(ii) State the language in which the largest number of news papers is    published. 
(iii) State the language in which the number of newspapers published is  minimum. 
Marks (3) 
Q 16 Prepare a frequency distribution from the following data by taking the class intervals.  
Mid points Frequency 
5 3 
15 9 
25 15 
35 10 
45 6 
55 4 
  Total = 47 
Marks (3) 
Q 17  Mean of 18 numbers is 57. If 9 is added to each number,      find the new mean.  
Marks (3) 
Q 18  Prove that the sum of the deviations of individual observations from          their mean is zero.  
Marks (3) 
Q 19 The median of the following observation arranged in ascending order is 22. Find x. 
8, 11, 13, 15, x+1, x+3, 30,35,40,43  
Marks (3) 
Q 20 1. If the mean of the following data is 20.2, find the value of p:                                                                  
X 10 15 20 25 30 
f 6 8 p 10 6 
Marks (4) 
 Q 21  The water bills of 32 houses in a colony for a period is given below : 
56, 43, 32, 38, 56, 22 ,68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, 30, 54, 65, 45, 67, 95, 72, 43, 65, 35, 59 .  
Tabulate the data and present the data as a cumulative frequency table using 70-79 as one of the class intervals.  
Marks (4) 
Q 22 Construct a frequency polygon for the following data: 
Age ( in years) Frequency 
  
0-2        4 
2-4        2 
4-6      12 
6-8      18 
8-10      25 
Marks (4) 
Q 23 The population of a state in different census years is as given below:  
Census year 1981 1982 1983 1984 1985 
Population in Lakhs    30   50   70   110   150 
Represent the above information with the help of bar graph.          Marks (4) 
IX Mathematics C.B.S.E. Practice Papers Page 97 
Q 24 The average marks of boys in an examination are 65 and that of girls is 74. If the average of marks of all candidates in that 
examination is 70, find the ratio of the number of boys to the number of girls that  appeared in the examination.  
Marks (4) 
Q 25 1. The marks obtained (out of 100) by a class of 80 students are given below:                                                        
Marks Number of students 
10-20 6 
20-30 17 
30-50 15 
50-70 16 
70-100 26 
Construct a histogram to represent  the data above. 
Marks (4) 
Q 26 1. Draw a histogram for the  following distribution:                                                            
Marks obtained 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 
No. of Students 7 10 6 8 12 3 2 2 
Marks (4) 
Most Important Questions 
  
Q 1 List the different types of statistical data.  
Q 2 List the different types of frequency distribution.  
Q 3 List the different ways for the presentation of raw data.  
Q 4 Given below are the ages of 25 students of class IX in a school. Prepare  a discrete frequency distribution. 
15, 16, 16, 14, 17, 17, 16, 15, 15, 16, 16, 17, 15, 16, 16, 14, 16, 15, 14, 15, 16, 16, 15, 14, 15.  
Q 5 What is data? Explain the types of statistical data?  
Q 6 The class marks of a distribution are 26, 31, 36, 41, 46, 51, 56, 61, 66, 71. Determine the true class limits. 
Q 7 Form a grouped frequency distribution from the following data by inclusive method taking 4 as the magnitude of class intervals. 
 
31, 23, 19, 29, 22, 20, 16, 10, 13, 34, 38, 33, 28, 21, 15, 
18, 36, 24, 18, 15, 12, 30, 27, 23, 20, 17, 14, 32, 26, 25, 
18, 29, 24, 19, 16, 11, 22, 15, 17, 10.  
Q 8 The marks obtained by 40 students of Class IX in an examination are given below : 
18, 8, 12, 6, 8, 16, 12, 5, 23, 2, 16, 23, 2, 10, 20, 12, 9, 7, 6, 5, 3, 5, 13, 21, 13, 15, 20, 24, 1, 7, 21, 16, 13, 18, 23, 7, 3, 18, 17, 16. 
Present the data in the form of a frequency distribution using the same class size, one such class being 20-25 (where 25 is not 
included).  
Q 9 The class marks of a distribution are :  
 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102. 
       Determine the class size, the class limits and the true class limits. 
 
Page 5


IX Mathematics C.B.S.E. Practice Papers Page 94 
14. Statistics 
Q 1 Define array or arrayed data.  
Mark (1) 
Q 2 Define frequency.  
Mark (1) 
Q 3 Write the relation between class mark, lower limit and upper limit of a class interval.  
Mark (1) 
Q 4 Define primary data.  
Marks (2) 
Q 5 Define secondary data. How it is differ from the primary data?  
Marks (2) 
Q 6 Find the mode of the following data :   
Marks Number of students 
48 4 
49 10 
50 12 
51 10 
52 10 
How many students are there whose marks are less than the modal value? 
Marks (2) 
Q 7 Following data represents the favourite fruit liked by 20 children.  
 
P G A M M P A M G M A M M M M M A A P G. 
Make a frequency table to find how many more children chose apple as their favourite fruit than pomegranate. Marks (2) 
Q 8 Make a bar graph of the given data.              
 
Marks (2) 
 
  
 
 
Q 9 Following frequency table represents the number of students in each section of class 9th of ABC school. Find the mean number of 
students per sections.  
Number of Student Per Section 
Section A 20 
Section B 18 
Section C 25 
Section D 22 
Section E 20 
Marks (2) 
Instrument Frequency 
clarinet 11 
flute 18 
trumpet 7 
violin 5 
IX Mathematics C.B.S.E. Practice Papers Page 95 
Q 10 The table below shows the age of seven students      participating in a music recital. Find the median   and mode of the data.      
  
 Marks (2) 
Q 11 Find the median and mode of the speeds displayed in the graph.   
 
Marks (2) 
Q 12 Make the frequency polygon of the given data.                                                                                       
Class-Intervals Frequency 
0 – 10 9 
10 – 20 14 
20 – 30 8 
30 – 40 10 
40 – 50 9 
Marks (2) 
Q 13 The weights of new born babies (in kg) in a hospital on a particular day are as follows:  
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4 
1.     Determine the range. 
2.     How many babies have weight below 2.5 kg. 
3.     How many babies have weight more than 2.8 kg. Marks (3) 
Q 14 The class- marks of a distribution are 26,31,36,41,46,51,56,61,66,71.Find the true class limits. Marks (3) 
Q 15 The bar graph shown in figure represents the circulation of newspaper  in 5 languages. Study the bar graph and answer the 
following  questions:   
  
 (i) What is the total number of newspapers published in Hindi, English,Urdu, Punjabi and Bengali? 
Age (years) 
12   10   9   10   11    8   13 
IX Mathematics C.B.S.E. Practice Papers Page 96 
(ii) State the language in which the largest number of news papers is    published. 
(iii) State the language in which the number of newspapers published is  minimum. 
Marks (3) 
Q 16 Prepare a frequency distribution from the following data by taking the class intervals.  
Mid points Frequency 
5 3 
15 9 
25 15 
35 10 
45 6 
55 4 
  Total = 47 
Marks (3) 
Q 17  Mean of 18 numbers is 57. If 9 is added to each number,      find the new mean.  
Marks (3) 
Q 18  Prove that the sum of the deviations of individual observations from          their mean is zero.  
Marks (3) 
Q 19 The median of the following observation arranged in ascending order is 22. Find x. 
8, 11, 13, 15, x+1, x+3, 30,35,40,43  
Marks (3) 
Q 20 1. If the mean of the following data is 20.2, find the value of p:                                                                  
X 10 15 20 25 30 
f 6 8 p 10 6 
Marks (4) 
 Q 21  The water bills of 32 houses in a colony for a period is given below : 
56, 43, 32, 38, 56, 22 ,68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, 30, 54, 65, 45, 67, 95, 72, 43, 65, 35, 59 .  
Tabulate the data and present the data as a cumulative frequency table using 70-79 as one of the class intervals.  
Marks (4) 
Q 22 Construct a frequency polygon for the following data: 
Age ( in years) Frequency 
  
0-2        4 
2-4        2 
4-6      12 
6-8      18 
8-10      25 
Marks (4) 
Q 23 The population of a state in different census years is as given below:  
Census year 1981 1982 1983 1984 1985 
Population in Lakhs    30   50   70   110   150 
Represent the above information with the help of bar graph.          Marks (4) 
IX Mathematics C.B.S.E. Practice Papers Page 97 
Q 24 The average marks of boys in an examination are 65 and that of girls is 74. If the average of marks of all candidates in that 
examination is 70, find the ratio of the number of boys to the number of girls that  appeared in the examination.  
Marks (4) 
Q 25 1. The marks obtained (out of 100) by a class of 80 students are given below:                                                        
Marks Number of students 
10-20 6 
20-30 17 
30-50 15 
50-70 16 
70-100 26 
Construct a histogram to represent  the data above. 
Marks (4) 
Q 26 1. Draw a histogram for the  following distribution:                                                            
Marks obtained 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 
No. of Students 7 10 6 8 12 3 2 2 
Marks (4) 
Most Important Questions 
  
Q 1 List the different types of statistical data.  
Q 2 List the different types of frequency distribution.  
Q 3 List the different ways for the presentation of raw data.  
Q 4 Given below are the ages of 25 students of class IX in a school. Prepare  a discrete frequency distribution. 
15, 16, 16, 14, 17, 17, 16, 15, 15, 16, 16, 17, 15, 16, 16, 14, 16, 15, 14, 15, 16, 16, 15, 14, 15.  
Q 5 What is data? Explain the types of statistical data?  
Q 6 The class marks of a distribution are 26, 31, 36, 41, 46, 51, 56, 61, 66, 71. Determine the true class limits. 
Q 7 Form a grouped frequency distribution from the following data by inclusive method taking 4 as the magnitude of class intervals. 
 
31, 23, 19, 29, 22, 20, 16, 10, 13, 34, 38, 33, 28, 21, 15, 
18, 36, 24, 18, 15, 12, 30, 27, 23, 20, 17, 14, 32, 26, 25, 
18, 29, 24, 19, 16, 11, 22, 15, 17, 10.  
Q 8 The marks obtained by 40 students of Class IX in an examination are given below : 
18, 8, 12, 6, 8, 16, 12, 5, 23, 2, 16, 23, 2, 10, 20, 12, 9, 7, 6, 5, 3, 5, 13, 21, 13, 15, 20, 24, 1, 7, 21, 16, 13, 18, 23, 7, 3, 18, 17, 16. 
Present the data in the form of a frequency distribution using the same class size, one such class being 20-25 (where 25 is not 
included).  
Q 9 The class marks of a distribution are :  
 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102. 
       Determine the class size, the class limits and the true class limits. 
 
IX Mathematics C.B.S.E. Practice Papers Page 98 
Q 10 100 plants each were planted in 100 schools during Van Mahotsava. After one month, the number of plants that survived were 
recorded as :  
95 67 28 32 65 65 69 33 98 96 
76 42 32 38 42 40 40 69 95 92 
75 83 76 83 85 62 37 65 63 42 
89 65 73 81 49 52 64 76 83 92 
93 68 52 79 81 83 59 82 75 82 
86 90 44 62 31 36 38 42 39 83 
87 56 58 23 35 76 83 85 30 68 
69 83 86 43 45 39 83 75 66 83 
92 75 89 66 91 27 88 89 93 42 
53 69 90 55 66 49 52 83 34 36 
 Represent the above data in a frequency distribution table. 
Q 11 Consider the marks obtained (out of 100 marks) by 30 students of Class IX of a school: 
                      10 20 36 92 95 40 50 56 60 70 
92 88 80 70 72 70 36 40 36 40 
92 40 50 50 56 60 70 60 60 88 
        Construct a frequency distribution table. 
Q 12 For the following data of daily wages(in rupees) received by 30   labourers in a certain factory, construct a grouped frequency  
distribution table by dividing the range into class intervals of equal width, each corresponding to 2 rupees, in such a way that the mid-
value  of the first class interval corresponds to  12 rupees. 
14, 16, 16, 14, 22, 13, 15, 24, 12, 23, 14, 20, 17, 21, 22, 18, 18, 19, 20,17, 16, 15, 11, 12, 21, 20 ,17, 18, 19, 23.  
Q 13 Form a discrete frequency distribution from the following scores : 
15, 18, 16, 20, 25, 24, 25, 20, 16, 15, 18, 18, 16, 24, 15, 20, 28, 30, 27, 16, 24, 25, 20, 18, 28, 27, 25, 24, 24, 18, 18, 25, 20 ,16, 15, 20, 
27, 28, 29, 16. 
Q 14 The weights in grams of 50 oranges picked at random from a consignment are as follows :  
131, 113, 82, 75, 204, 81, 84, 118, 104, 110, 80, 107, 111, 141, 136, 123, 90, 78, 90, 115, 110, 98, 106, 99, 107, 84, 76, 186, 82, 
100, 109, 128, 115, 107, 115, 119, 93, 187, 139, 129, 130, 68, 195, 123, 125, 111, 92, 86, 70, 126.  
 Form the grouped frequency table by dividing the variable range into  intervals of equal width, each corresponding to 20 gms in such 
a way that the mid-value of the first class corresponds to 70 gms. 
Q 15 The marks obtained by 35 students in an examination are given below: 
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