Question

question 12 of 14
what is the first quartile of the set of data shown below?
16, 23, 24, 39, 45, 78, 95
a. 45
b. 39
c. 24
d. 23

Explanation:

Step1: Check if data is sorted

The data 16, 23, 24, 39, 45, 78, 95 is already in ascending - order.

Step2: Calculate the position of the first quartile

The formula to find the position of the first quartile ($Q_1$) for a data - set of size $n$ is $i=\frac{n + 1}{4}$. Here, $n = 7$, so $i=\frac{7+1}{4}=2$.

Step3: Find the value of the first quartile

Since $i = 2$ is an integer, the first quartile is the value at the 2nd position in the sorted data - set. The value at the 2nd position is 23.

Answer:

D. 23