Question

What is the first quartile (Q1) of the data set?

51, 42, 46, 53, 66, 70, 90, 70  
A. 48.5  
B. 59.5  
C. 61  
D. 70

Answer 1

A 48.5 The answer is A because you would put the numbers in order from least to greatest, find the median, then find the median of the other two sets.

Answer 2

A ) First quartile (Q1): 48.5.

Explanation:

Given : 51, 42, 46, 53, 66, 70, 90, 70 .

To find : What is the first quartile (Q1) of the data set?

Solution : We have given 51, 42, 46, 53, 66, 70, 90, 70 .

Arrange the data least to greatest

42 ,46, 51, 53, 66, 70, 70, 90.

First half is 42 ,46, 51, 53,

Second half is 66, 70, 70, 90.

First quartile (Q1):
`(46 +51)/(2)`.

First quartile (Q1):
`(97)/(2)`.

First quartile (Q1): 48.5

Therefore, A ) First quartile (Q1): 48.5.