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Q.

The following information is available on the talk time (in min.) noted 70 call of a certain mobile phone user. Find the mean talk time.

Talk time (min)
Less than 4
Less than 8
Less than 12
Less than 16
Less than 20
No. of calls 2
20
42
57
65
70

Sub Grade: 9

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a

7 min

b

7.5 min

c

8 min

d

8.5 min

answer is B.

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Detailed Solution

thefrequency distribution table is an as follow

Talk time

Mid point

frequencty

0-4

4-8

8-12

12-16

16-20

2

6

10

14

18

20

42-20=22

57-42=15

65-57=8

70-65=5

total

∑ ti =70

The mid point is taken because the talk time is in intervals so it can not be multiplied with the frequency
Formula = mean S ∑ 1xi fi / ∑ fi
Now ,we will substitute the value n above relation
2 X20 + 6 x 22 + 10 X 15 + 14 X 18 + 18 x 5 / 5
524 /24 = 7.5
The mean talk time is 7.5 min

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