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 Balls	Team A	Team B
1 – 6	2	5
7 – 12	1	6
13 – 18	8	2
19 – 24	9	10
25 – 30	4	5
31 -36	5	6
37 – 42	6	3
43 – 48	10	4
49 – 54	6	8
55 – 60	2	10

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

Answer:

Number of Balls	Team A	Team B
1 – 7	2	5
7 – 13	1	6
13 – 19	8	2
19 – 25	9	10
25 – 31	4	5
31 -37	5	6
37 – 43	6	3
43 – 49	10	4
49 – 55	6	8
55 – 61	2	10

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 – 2	5
2 – 3	3
3 – 5	6
5 – 7	12
7 – 10	9
10 – 15	10
15 – 17	4

Draw a histogram to represent the data above.

Answer:

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 letters	Number of surnames
1 – 4	6
4 – 6	30
6 – 8	44
8 – 12	16
12 – 20	4

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

Answer:

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

Answer: 6 – 8