Question

Which set of data has a mean of 15, a range of 22, a median of 14, and a mode of 14?
A) 3 14 19 25 14
B) 14 22 15 15 9
C) 14 22 14 15 4
D) 25 15 14 3 7

Answer 1

The required answer is an option a => 3,14,19,25,14

First, arrange the given set in ascending order.

3,14,19,25,14

Ascending order = 3, 14, 14, 19, 25

Mean = sum of observations/total observations

=> (3+14+14+19+25)/5

=> 75/5

=> 15

Median is the middle number of the data.

3, 14, 14, 19, 25

=> 14 is the median

The Mode is the number that occurs most number of times.

3, 14, 14, 19, 25

In the given data, 14 occurs two times. so, 14 is the mode.

Range:

Range is highest value - lowest value

3, 14, 14, 19, 25

=> 25 - 3 =22

so, range is 22.

Hence, the required answer is 3,14,19,25,14