Statistics

Exercise 14.3 Part 3

Question 7: The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:

Number of BallsTeam ATeam B
1 – 625
7 – 1216
13 – 1882
19 – 24910
25 – 3045
31 -3656
37 – 4263
43 – 48104
49 – 5468
55 – 60210

Represent the data of both the teams on the same graph by frequency polygons. [Hint : First make the class intervals continuous.]


Answer:

Number of BallsTeam ATeam B
1 – 725
7 – 1316
13 – 1982
19 – 25910
25 – 3145
31 -3756
37 – 4363
43 – 49104
49 – 5568
55 – 61210
statistics frequency polygon answer 7 figure


Question 8: A random survey of the number of children of various age groups playing in a park was found as follows:

Age (in years)Number of children
1 – 25
2 – 33
3 – 56
5 – 712
7 – 109
10 – 1510
15 – 174

Draw a histogram to represent the data above.

Answer:

statistics histogram answer 8 figure

Question 9: 100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

Number of lettersNumber of surnames
1 – 46
4 – 630
6 – 844
8 – 1216
12 – 204

(i) Draw a histogram to depict the given information.

Answer:

statistics histogram polygon answer 9 figure

(ii) Write the class interval in which the maximum number of surnames lie.

Answer: 6 – 8



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