RD Sharma Solutions -Ex-22.1 (Part - 2), Tabular Representation Of Statistical Data, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions for Class 9 Mathematics

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Class 9 : RD Sharma Solutions -Ex-22.1 (Part - 2), Tabular Representation Of Statistical Data, Class 9, Maths Class 9 Notes | EduRev

The document RD Sharma Solutions -Ex-22.1 (Part - 2), Tabular Representation Of Statistical Data, Class 9, Maths Class 9 Notes | EduRev is a part of the Class 9 Course RD Sharma Solutions for Class 9 Mathematics.
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Q13. Write the class size and class limits in each of the following:

(i) 104,114,124,134,144,154 and 164.

(ii) 47,52,57,62,67,72,78,82,87,92,97,102.

(iii) 12.5, 17.5, 22.5, 27.5, 32.5, 37.5, 42.5, 47.5.

Solution 13:

 (1) 104,114,124,134,144,154 and 164.

Class size = 114-104 = 10

Class markLower class limitUpper class limitClass limit
104RD Sharma Solutions -Ex-22.1 (Part - 2), Tabular Representation Of Statistical Data, Class 9, Maths Class 9 Notes | EduRevRD Sharma Solutions -Ex-22.1 (Part - 2), Tabular Representation Of Statistical Data, Class 9, Maths Class 9 Notes | EduRev99-109
114RD Sharma Solutions -Ex-22.1 (Part - 2), Tabular Representation Of Statistical Data, Class 9, Maths Class 9 Notes | EduRevRD Sharma Solutions -Ex-22.1 (Part - 2), Tabular Representation Of Statistical Data, Class 9, Maths Class 9 Notes | EduRev109-119
124119129119-129
134129139129-139
144139149139-149
154149159149-159
164159169159-169

 

(2)  47,52,57,62,67,72,78,82,87,92,97,102.

Class size = 52-47 = 5

Class markLower class limitUpper class limitClass limit
47RD Sharma Solutions -Ex-22.1 (Part - 2), Tabular Representation Of Statistical Data, Class 9, Maths Class 9 Notes | EduRevRD Sharma Solutions -Ex-22.1 (Part - 2), Tabular Representation Of Statistical Data, Class 9, Maths Class 9 Notes | EduRev44.5-49.5
5249.554.549.5-54.5
5754.559.554.5-59.5
6259.564.559.5-64.5
6764.569.564.5-69.5
7269.574.569.5-74.5
7774.579.574.5-79.5
8279.584.579.5-84.5
8784.589.584.5-89.5
9289.594.589.5-94.5
9794.599.594.5-99.5
10299.5104.59.5-104.5

 

(3)12.5, 17.5, 22.5, 27.5, 32.5, 37.5, 42.5, 47.5.

Class size = 17.5-12.5 = 5

Class markLower class limitUpper class limitClass limit
12.512.5-2.5 = 1012.5+2.5 = 1510-15
17.517.5-2.5 = 1517.5+2.5 = 2015-20
22.522.5-2.5 = 2022.5+2.5 = 2520-25
27.527.5-2.5 = 2527.5+2.5 = 3025-30
32.532.5-2.5 = 3032.5+2.5 = 3530-35
37.537.5-2.5 = 3537.5+2.5 = 4035-40
42.542.5-2.5 = 4042.5+2.5 = 4540-45
47.547.5-2.5 = 4547.5+2.5 = 5045-50

 

Q14. Following data gives the number of children in 40 families:

1,2,6,5,1,5,1,3,2,6,2,3,4,2,0,0,4,4,3,2,2,0,0,1,2,2,4,3,2,1,0,5,1,2,4,3,4,1,6,2,2.  

Represent it in the form of a frequency distribution.

Solution 14:

Number of childrenTally marksNumber of families
0||||5
1|||| ||7
2|||| |||| ||12
3||||5
4|||| |6
5|||3
6|||3

 

Q15. Marks scored by 40 students of class IX in mathematics are given below:

81,55,68,79,85,43,29,68,54,73,47,35,72,64,95,44,50,77,64,35,79,52,45,54,70,83,62,64,72,92,84,76,63,43,54,38,73,68,52,54.

 Prepare a frequency distribution with class size of 10 marks.

Solution 15:

MarksTally marksFrequency
20-30|1
30-40|||3
40-50||||5
50-60|||| |||8
60-70
 
|||| |||8
70-80|||| ||||9
80-90
 
||||4
90-100||2
  Total = 40

 

Q16. Heights (in cm) of 30 students of class IX are given below:

155,158,154,158,160,148,149,150,153,159,161,148,157,153,157,162,159, 151,  154,  156 , 152 , 156 , 160,  152,  147,  155,  163,  155 , 157 , 153.

Prepare a frequency distribution table with 160-164 as one of the class intervals.

Solution 16:

Height(in cm)Tally marksFrequency
145-149||||4
150-154|||| ||||9
155-159|||| |||| ||12
160-164|||| |6
  Total = 30

 

Q17. The monthly wages of 30 workers in a factory are given below:

830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855,        845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840, 890.

Represent the data in the form of a frequency distribution table with class size 10.

Solution 17:

Height(in cm)Tally marksFrequency
800-810 |||3
810-820||2
820-830||1
830-840|||| |||8
840-850||||5
850-860|1
860-870|||3
870-880|1
880-890|1
890-900||||5
  Total = 30

 

Q18. The daily maximum temperatures (in degree Celsius) recorded in a certain city during the month of November are as follows:

25.8,24.5,25.6,20.7,21.8,20.5,20.6,20.9,22.3,22.7,23.1,22.8,22.9,21.7,21.3,20.5,20.9,23.1,22.4, 21.5,22.7,22.8,22.0,23.9,24.7,22.8,23.8,24.6,23.9,21.1.

Represent the data in the form of a frequency distribution table with class size 1 10CC.

Solution 18:

Maximum temperature(in degree Celsius)Tally marksFrequency
20.0-21.0 |||| |6
21.0-22.0||||5
22.0-23.0|||| ||||9
23.0-24.0||||5
24.0-25.0|||3
25.0-26.0||2
  Total = 30

 

Q19. Construct a frequency table with equal class intervals from the following data on the monthly wages (in rupees) of 28 laborers working in a factory, taking one of the class intervals as 210-230(230 not included).

220,268,258,242,210,268,272,242,311,290,300,320,319,304,302,218,306,292,254,278,210,240,280,316,306,215,256,236.   

Solution 19:

Monthly wages(in rupees)Tally marksFrequency
210-230||||4
230-250||||4
250-270||||5
270-290|||3
290-310|||| ||7
310.0-330.0||||5
  Total = 28

 

Q20 The daily minimum temperatures in degree Celsius recorded in a certain arctic region are as follows:

-12.5,-10.8,-18.6,-8.4-10.8,-4.2,-4.8,-6.7,-13.2,-11.8,-2.3,-1.2,

-2.6,0,2.4,0,3.2,2.7,3.4,0,-2.4,-2.4,0,3.2,2.7,3.4,0,-2.4,-5.8,-8.9,-14.6,-12.3,

-11.5,-7.8,-2.9.

Represent them as frequency distribution table taking -19.9 to -15 as the first class interval.

Solution 20:

Since first class interval is -19.9 to -15, frequency distribution with lower limit included and upper limit excluded is:

TemperatureTally marksFrequency
-19.9 to -15 ||2
-15 to -10.1|||| ||7
-10.1 to -5.2||||5
-5.2 to -0.3||||4
-0.3 to -4.6|||| |||| |||| ||17
   
  Total = 35

 

Q21. The blood groups of 30 students of class VIII are recorded as follows:

 A,B,O,O,AB,O,A,O,B,A,O,B,A,O,O,A,AB,O,A,A,O,O,AB,B,A,O,B,A,B,O

 Represent this data in the form of a frequency distribution table .Find out which is the most common and which is the most rarest blood group among these students.

Solution 21:

Here 9 students have blood group A,6 as B,3 as AB and 12 as O

So the table representing the data is as follows:

Blood groupNumber of students
A9
B6
AB3
O12
Total30

As 12 students have their blood group O and 3 students have their blood group as AB. Therefore the most common blood group is O and the rarest blood group is AB.

 

Q22. Three coins were tossed 30 times. Each time the number of heads occurring was noted down as follows:

0, 1, 2, 2, 1, 2, 3, 1, 3, 0

1, 3, 1, 1, 2, 2, 0, 1, 2, 1

3, 0, 1, 1, 2, 3, 2, 2, 0

Prepare a frequency distribution table for the data given above.

Solution 22:

By observing the data given above , the following frequency table can be constructed:

Number of headsFrequency
06
110
29
35
Total30

 

Q23. Thirty children were asked about the number of hours they watched TV programes in the previous week. The results were found as follows:

1, 6, 2, 3, 5, 12, 5, 8, 4, 8

10, 3, 4, 12, 2, 8, 15, 1, 17, 6

3, 2, 8, 5, 9, 6, 8, 7, 14, 2.

(i)Make a frequency distribution table for this data , taking class width 5 and one of the class intervals as 5-10.

(ii)How many children watched television for 15 or more hours a week.

Solution 23:

(i) Class intervals will be 0-5, 5-10, 10-15 …

The grouped frequency distribution table is as follows:

HoursNumber of children
0-510
5-1013
10-155
15-202
Total30

(ii) The number of children who watched TV for 15 or more hours a week is 2(i.e number of children in class interval 15-20).

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