Drew works at a laundromat. Every day for two weeks, he records the total number of loads of laundry washed at the laundromat. The first quartile of his data is 60. The median of his data is 82. On how many of the next 200 days should Drew expect there to be at least 60 but no more than 82 loads of laundry washed at the laundromat? a. 25

b. 50

c. 100

d. 175

Question

Mathematics

Precious

28 January, 07:33

Drew works at a laundromat. Every day for two weeks, he records the total number of loads of laundry washed at the laundromat. The first quartile of his data is 60. The median of his data is 82. On how many of the next 200 days should Drew expect there to be at least 60 but no more than 82 loads of laundry washed at the laundromat? a. 25

b. 50

c. 100

d. 175

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Answers (1)

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Rebecca · Answer 1

B

Step-by-step explanation:

The first quartile of his data is 60.

The median of his data is 82.

The first quartile Q1 is the median of the lower half of the data set. This means that about 25% of the numbers in the data set lie below Q1 and about 75% lie above Q1.

The median Q2 is the median of the data set. This means that about 50% of the numbers in the data set lie below Q2 and about 50% lie above Q2.

Between Q1 and Q2 lie exactly 25% of the numbers in the data set.

25% of 200 is exactly 50, so option B is true.