Question

The students in a class had the following scores on a test:

76, 79, 81, 83, 85, 86, 89, 91, 93

The teacher wants to make a box-and-whisker plot of these data. Which value should he use for Q3?

A. 90
B. 93
C. 91
D. 85

Answer 1

Answer: The answer to this question is A

Step-by-step explanation:

Answer 2

He should use 90 for Q3 ⇒ answer A

Step-by-step explanation:

Lets explain the meaning of Q3

Q1 is the "middle" value in the first half of the data set

Q2 is the median value in the set

Q3 is the "middle" value in the second half of the data set

The data are

76 , 79 , 81 , 83 , 85 , 86 , 89 , 91 , 93

The set has nine numbers, then Q2 is the fifth one

Q2 = 85

The first half of the data are:

76 , 79 , 81 , 83

The second half of the data are:

86 , 89 , 91 , 93

They are four numbers, then the middle one is the average of the

second and the third numbers

Q3 =
`(89+91)/(2)=90`

He should use 90 for Q3