Question

What is the interquartile range of the data?

I think the answer is B.

Answer 1

No, correct option is (A) 117.5

Explanation:

Interquartile range (IQR) measures the skewness using 50% of the data. It is the difference between the third quartile and the first quartile. i.e.

IQR = Q₃ - Q₁

For finding the Interquartile Range of the data:

100, 120, 130, 188, 196, 220, 265, 300

1. Divide the data into two parts:

(100, 120, 130, 188) (196, 220, 265, 300)

2. Now finding the medians of both halves of the data that will be our First and Third Quartile of data.

So, Q₁ = 125 and Q₃ = 242.5

Now, using IQR = Q₃ - Q₁

= 242.5 - 125 = 117.5

Hence, Correct option is Option (A).