Question

If the numbers 3, 6, 7, 10, x, 15, 19, 20, 25, 28, are in ascending order and their median is 13, calculate the value of x.

Answer 1

Answer:

(x+15)/2=13

x+15=26

x 26-15

x=11

Answer 2

x = 13

Explanation:

Given: Median of the series 3, 6, 7, 10, x, 15, 19, 20, 25, 28 is 13. Series in ascending order.

The median is the ((n + 1)/2)th item, where n is the number of values.  

Median of the given series: 3, 6, 7, 10, x, 15, 19, 20, 25, 28

n = 10

Median = (10+1)/2 = 5.5th term.

Fifth term should be the median. Given as X in the series, median 13 is greater than 10 and less than 15. So X = 13, the fifth term of the series.

The series will be 3, 6, 7, 10, 13, 15, 19, 20, 25, 28. Hence solved.