Question

The following observations are arranged in ascending order.
17, x, 24, x + 7, 35, 36, 46
If the median of the data is 25 find the value of x.

Answer 1

11, 12, 14, 18, x + 2, x + 4, 30, 32, 35

n = 10 (even), Median = 24

∴   Median = ( (n/2)th term + (n/2 + 1)th  term)/2

 = ((10/2)th term + (10/2 + 1)th  term)/2

Median = (5th term + 6th term)/2

24 = (x + 2 + x + 4)/2

 2x  + 6 = 24 × 2

⇒ 2x = 48 - 6

⇒ 2x = 42

⇒ x = 21 

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Answer 2

Step-by-step explanation:

17, x, 24, x+7, 35, 36, 46

there is 7 oberservation, so median of the data is 4th oberservation after arranging ascending order.

median of the data is 25(given) so

x+7=25

x=18

assending order of given data

17, 18, 24, 25, 35, 36, 46