Question

In the data set shown below, what is the value of the quartiles? {56, 58, 64, 68, 72, 75, 78} A. Q1 = 58; Q2 = 68; Q3 = 73.5 B. Q1 = 61; Q2 = 68; Q3 = 73.5 C. Q1 = 75; Q2 = 68; Q3 = 58 D. Q1 = 58; Q2 = 68; Q3 = 75

Answer 1

Don't trust the person above he made me fail my test

Explanation:

I took the test

Answer 2

(C) Q1: 55.5 Q2: 110 Q3: 295

Explanation:

Given the dataset:

There are 25 items in the dataset.

To find Q2, We divide it into two equal parts and consider the middle term

Therefore: Q2 =110

Q1 = the median of the lower half of the data set.

Q3 = is the median of the upper half of the data set.

In the lower half of the data

Since there are even number of terms,

Median = (55+56)/2=55.5

Therefore: Q1=55.5

In the upper half of the data

Since there are even number of terms,

Median = (239+351)/2=295

Therefore: Q3=295

Q1: 55.5, Q2: 110, Q3: 295

The correct option is C.