Question

13) from the table, find the values of
x and y if the median of the
following data is 3 and Total is 40.
I 0-10 10-20 20-30 30-40 40-50 50-60
f
5
x
6
y
6​

Answer 1

Answer:

hddbx xxjnx

Explanation:

I didn't understand the question only

Answer 2

60

Solution:

The cumulative frequency for the given data is calculated as follows.

Class interval

Frequency

Cumulative frequency

0 − 10

5

5

10 − 20

x

5+ x

20 − 30

20

25 + x

30 − 40

15

40 + x

40 − 50

y

40+ x + y

50 − 60

5

45 + x + y

Total (n)

60


From the table, it can be observed that n = 60

45 + x + y = 60

x + y = 15 (1)

Median of the data is given as 28.5 which lies in interval 20 − 30.

Therefore, median class = 20 − 30

Lower limit (l) of median class = 20

Cumulative frequency (cf) of class preceding the median class = 5 + x

Frequency (f) of median class = 20

Class size (h) = 10





From equation (1),

8 + y = 15

y = 7





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