Question

Find the interquartile range of the data. 4,6,4,2,9,1,12,7

Answer 1

Answer:

Arrange: 1, 2, 4, 4, 6, 7, 9, 12.

(Q1) = (N + 1) × 1/4.

• 4 + 1 × 1/4 = 5/4

(Q3) = (N + 1) × 3/4.

• 6 + 1 × 3/4 = 21/4

So, IQR = Q3 - Q1

• 21/4 - 5/4 = 21 - 5/4
• 16/4 = 4

Explanation:

Do these simple steps to find IQR if any data:-

• Order the data from least to greatest.
• Find the median.
• Calculate the median of both the lower and upper half of the data.
• The IQR is the difference between the upper and lower medians.