Middle School

In the data set shown below, what is the value of the quartiles?

{63, 88, 89, 89, 95, 98, 99, 99, 100, 100}

A. Q1 = 88.5; Q2 = 95; Q3 = 99
B. Q1 = 89; Q2 = 96.5; Q3 = 99
C. Q1 = 89; Q2 = 96.5; Q3 = 99.5
D. Q1 = 89; Q2 = 97; Q3 = 99

Answer :

Answer:

The correct answer is B.

There are 10 observations, already arranged in numerical order.

Q2 (the median) is exactly halfway between the 5th value and the 6th value:

(95 + 98)/2 = 193/2 = 96.5

In the first 5 values, Q1 is the 3rd value, 89.

In the last 5 values, Q3 is the 8th value, 99.

Other Questions