Q.1. The number of members in 20 families are given below:
4, 6, 5, 5, 4, 6, 3, 3, 5, 5, 3, 5, 4, 4, 6, 7, 3, 5, 5, 7
Prepare a frequency distribution of data.
Ans.
Number of members  3  4  5  6  7 
Frequency  4  4  7  3  2 
Q.2. The number of students in 7 different classes is given below. Represent this data on the bar graph.
Class  6^{th}  7^{th}  8^{th}  9^{th}  10^{th}  11^{th}  12^{th} 
Number of Students  130  120  135  130  150  80  75 
Ans.
Q.3. The 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, 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.
Ans.
Wages (in Dollars)  1  2  3  4  5  6  
Frequency  4  7  12  5  6  3  3 
Q.4. The number of trees planted by Ecoclub of a school in different years is given below.
Year  2005  2006  2007  2008  2009  2010 
Number of Trees to be Planted  150  220  350  400  300  380 
Ans.
Q.5. The electricity bills (in dollars) of 25 houses of a certain locality for a month are given below:
324, 700, 617, 400, 356, 365, 435, 506, 548, 736, 780, 378, 570, 685, 312, 630, 584, 674, 754, 776, 596, 745, 565, 763, 472
Arrange the above data in increasing order and form a frequency table using equal class intervals, starting from 300400, where 400 is not included.
Ans.
Amount of the bill (in Dollars)  300400  400500  500600  600700  700800 
Frequency  5  3  6  4  7 
Q.6. The following table shows the favorite sports of 300 students of a school.
Sports  Cricket  Football  Hockey  Badminton  Swimming  Tennis 
No. of students  80  40  20  30  45  75 
Ans.
Q.7. The weekly pocket expenses (in dollars) of 30 students of a class are given below:
62, 80, 110, 75, 84, 73, 60, 62, 100, 87, 78, 94, 117, 86, 65, 68, 90, 80, 118, 72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115
Construct a frequency table with class intervals 6070 (where 70 is not included) 7080, 8090 etc.
Ans.
Expenses (in Dollars)  6070  7080  8090  90100  100110  110120 
Frequency  6  5  7  5  3  4 
Q.8. The following are the marks scored by Aaron out of 50 in different subjects in an exam. Represent this information on a bar graph
Subjects  English  Urdu  Math  Science  History 
Marks Obtained  40  30  50  45  25 
Represent this information on a bar graph.
Ans.
Q.9. The heights (in cm) of 22 students were recorded as under:
125, 132, 138, 144, 142, 136, 134, 125, 135, 130, 126, 132, 135, 142, 143, 128, 126, 136, 135, 130, 130, 133
Prepare a frequency distribution table, taking equal class intervals and starting from 125130, where 130 is not included.
Ans.
Height (in cm)  125130  130135  135140  140145 
Frequency  5  7  6  4 
Q.10. The following data shows the birth rate per thousand of different countries during a certain year. Draw a bar graph.
Country  India  Pakistan  China  Sri Lanka  Russia 
Birth Rate  24  26  30  20  18 
Read the questions carefully given in the worksheet on bar graph and represent the data in the column graph. The graph are shown below to check the exact the bar graph.
Ans.
Q.11. A dice was thrown 30 times and the following outcomes were noted:
2, 1, 2, 4, 6, 1, 2, 3, 6, 5, 4, 4, 3, 1, 1, 3, 1, 1, 5, 6, 6, 2, 2, 3, 4, 2, 5, 5, 6, 4
Prepare a frequency table.
Ans.
Outcome  1  2  3  4  5  6 
Frequency  6  6  4  5  4  5 
Q.12. The number of bedsheets manufactured by a factory during five consecutive weeks is given below.
Week  First  Second  Third  Fourth  Fifth 
Number of Bedsheets  600  850  700  300  900 
Ans.
Q.13. The marks obtained by 40 students of a class in an examination are given below:
8, 47, 22, 31, 17, 13, 38, 26, 3, 34, 29, 11, 22, 7, 15, 24, 38, 31, 21, 35, 42, 24, 45, 23, 21, 27, 29, 49, 25, 48, 21, 15, 18, 27, 19, 45, 14, 34, 37, 34
Prepare a frequency distribution table with equal class intervals, starting from 010 (where 10 is not included).
Ans.
Marks  010  1020  2030  3040  4050 
Frequency  3  8  14  9  6 
Q.14. The number of absentees in class VIII was recorded in a particular week. Represent this data on the bar graph
Days  Mon.  Tues.  Wed.  Thurs.  Fri.  Sat. 
Number of Absentees  130  120  135  130  150  80 
(a) On which day the maximum and minimum students were absent?
(b) How many students were absent on Wednesday and Friday?
(c) On which days the same number of students was absent?
Ans.
Q.15. The weekly wages (in dollars) of 28 workers of a factory are given below:
668, 610, 642, 658, 668, 620, 719, 720, 700, 690, 710, 642, 672, 654, 692, 706, 718, 702, 704, 678, 615, 640, 680, 716, 705, 615, 636, 656
Construct a frequency table with equal class intervals, taking the first of the class intervals as 610630, where 630 is not included.
Ans.
Wages (in Dollars)  610630  630650  650670  670690  690710  710730 
Frequency  4  4  5  3  7  5 
Q.16. The population of a particular state in different years is given below.
Year  2005  2006  2007  2008  2009  2010 
Population in Lakhs  35  40  50  65  90  105 
Represent the above data using the bar graph.
Ans.
Q.17. The daily earnings (in dollars) of 24 stores in a market was recorded as under:
715, 650, 685, 550, 573, 530, 610, 525, 742, 680, 736, 524, 500, 585, 723, 545, 532, 560, 580, 545, 625, 630, 645, 700
Prepare a frequency table taking equal class sizes. One such class is 500550, where 550 is not Included.
Ans.
Daily earnings (in Dollars)  500550  550600  600650  650700  700750 
Frequency  7  5  4  3  5 
Q.18. The following data represents the sale of refrigerator sets in a showroom in first 6 months of the year.
Months  Jan  Feb  March  April  May  June 
No. of Refrigerators Sold  20  25  15  40  35  30 
Ans.
Q.19. The average monthly attendance of a class is given.
Month  July  Aug  Sep  Oct  Nov  Dec  Jan  Feb 
Attendance  45  46  30  50  38  20  36  32 
Draw the bar graph of the data given.
In which month the average attendance is minimum or maximum?
In which month the average attendance was less than 40?
Find the difference between the maximum and minimum average attendance?
Ans.
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