A group of friends compared the number of text messages they sent in one week.

250, 400, 300, 500, 150, 250, 300, 500, 400, 250, 300, 600, 450, 700, 550, 650, 700, 500, 650, 800, 300, 250, 450, 500

Using the mean, what sample best represents the population?

the first six friends

the first ten friends

the last twelve friends

the last eight friends

Question

Mathematics

Douglas

22 May, 16:17

A group of friends compared the number of text messages they sent in one week.

250, 400, 300, 500, 150, 250, 300, 500, 400, 250, 300, 600, 450, 700, 550, 650, 700, 500, 650, 800, 300, 250, 450, 500

Using the mean, what sample best represents the population?

the first six friends

the first ten friends

the last twelve friends

the last eight friends

+5

Answers (1)

Know the Answer?

Nicholas Chang · Answer 1

The sample that best represents the population is the sample of the last eight friends

Step-by-step explanation:

Let's find out the sample that best represents the population, this way:

Mean of the number of text messages a group of 24 friends sent in one week = 10,700/24 = 445.83

Mean of the sample of the first six friends = 1,850/6 = 308.33

Mean of the sample of the first ten friends = 3,300/10 = 330

Mean of the sample of the last twelve friends = 6,500/12 = 541.67

Mean of the sample of the last eight friends = 4,150/8 = 518.75

The sample that best represents the population is the sample of the last eight friends, because its mean is the closest to the population mean (445.83 and 518.75)