Question

. What are the lower, middle, and upper quartiles of this data? 23, 15, 22, 15, 23, 15, 13, 21, 14 a. lower: 15, middle: 15, upper: 22 b.lower: 14, middle: 15, upper: 23 c.lower: 13, middle: 15, upper: 23 d.lower: 14.5, middle: 15, upper: 22.5

Answer 1

Answer:

Last option: lower quartile = 14.5, middle = 15 and upper quartile = 22.5

Step-by-step explanation:

The given data is 23, 15, 22, 15, 23, 15, 13, 21, 14.

And we have to calculate lower, middle and upper quartiles of this data.

For this we arrange the numbers from lowest to highest.

13, 14, 15, 15, 15, 21, 22, 23, 23.

in this sequence the first quarter is 13, 14, 15, 15

Therefore the lower quartile will be = (14 + 15)/2 = 29/2 = 14.5

Middle term or middle is 15.

Second quarter is 21, 22, 23, 23

Therefore the upper quartile will be = average of the middle terms = (22+23)/2 = 45/2 = 22.5

Therefore lower quartile = 14.5, middle = 15 and upper quartile = 22.5

Answer 2

The correct answer us D. lower: 14.5 middle: 15 upper: 22.5