Question

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The test scores for 9 students on the Unit 1 Test were 35, 25, 50, 95, 80, 60, 45, 100, and 90. What is the value of the third quartile for this data set?

A.
85

B.
90

C.
92.5

D.
95

Answer 1

First arrange them in ascending order.

The third qasrtile is the mean of the 7th and 8th numbers

Its 92.5  answer

Answer 2

Answer: C. 92.5

Step-by-step explanation:

We know that the third quartile of a data is the median of the upper half data.

The given data : 35, 25, 50, 95, 80, 60, 45, 100, and 90.

First we arrange the data in an a order .

Then, the arranged data will be :-

25, 35, 45, 50, 60, 80, 90, 95,100

The upper half data :  80, 90, 95,100

Median of the upper half = Mean of middle most two numbers

=$\dfrac{90+95}{2}=92.5$

Hence, the  value of the third quartile for this data set is 92.5.