Question

7. For what value of x is the mode of the data 24, 15, 40, 23, 27, 26, 22, 25, 20, x+3 found 25? Using this value of x, find the median. 4 bone been arranged in​

Answer 1

Answer:

Given: Mode = 25

∴ 25 occurs maximum number of times.

Arranging the given data in ascending order:

15, 20, 22, 23, 24, x + 3, 25, 26, 27, 40

∴ x + 3 = 25

⇒ x = 25 − 3

⇒ x = 22

Hence, the value of x is 22.

Arranging the given data in ascending order:

15, 20, 22, 23, 24, 25, 25, 26, 27, 40

Number of terms = 10 (even)

∴ Median=mean of n/2th term and n/2+1th term

=mean of 24 and 25

=(24+25)2

=mean of 1440th term and 102+1th term

=24.5

Hence, the median is 24.5 .