In the data set 5, 8, x, 12, 15 (already in increasing order), the median equals the mean. Find the value of x.

Question

Accepted Answer

10. n = 5, median = 3rd term = x. Mean = 5+8+x+12+15/5 = 40+x/5. Set median = mean: x = 40+x/5, so 5x = 40 + x, 4x = 40, x = 10. (Check: 10 lies between 8 and 12, so order holds.)

In the data set 5, 8, $x$ , 12, 15 (already in increasing order), the median equals the mean.
Find the value of $x$ .

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Measures of Central Tendency practice

In the data set 5, 8, x, 12, 15 (already in increasing order), the median equals the mean.Find the value of x.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Measures of Central Tendency practice

In the data set 5, 8, $x$ , 12, 15 (already in increasing order), the median equals the mean.
Find the value of $x$ .