Question

A survey asked stamp collectors how many stamps they have in their collection. The box plot summarizes the responses.

Between what two numbers do the lower fourth of the responses fall?

70 and 75
40 and 70
40 and 75
70 and 93

Answer 1

The lower fourth of the responses fall between 40 and 70. Hence, option B is correct.

The lower fourth of a distribution refers to the 25th percentile of a dataset. The 25th percentile falls between the minimum and First quartile value.

From the boxplot ,

• Minimum = 40
• First quartile = 70 (starting point of the box)

Therefore, the two numbers in which the lower fourth of the responses fall is : 40 and 70