Question

Calculate average of the following discrete series. Use Short-cut Method by taking 25 as assumed average.

Size

30

29

28

27

26

25

24

23

22

21

Frequency (f)

2

4

5

3

2

7

1

4

5

7

​

Answer 1

Explanation:

Solution:

Arranging the given data in ascending order, we have

694, 696, 699, 705, 710, 712, 715, 716, 719, 721, 725, 728, 729, 734, 745

As the number of terms is an old number i.e., N = 15

We use the following procedure to find the median.

Median = (N + 1)/2 th term

= (15 + 1)/2 th term

= 8th term

So, the 8th term in the arranged order of the given data should be the median.

Therefore, 716 is the median of the data.