The ages of five people in a group are 15,25, 30, 35 and 45. From this, a sample of two people having ages 15 and 25 was selected. What is the sampling error of the average age of the group?

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Solution

The correct option is D
10

Average age of the population,

$A_{p} = \frac{15 + 25 + 30 + 35 + 45}{5} = 30$
Average age of the sample,

$A_{s} = \frac{15 + 25}{2} = 20$

$S a m p l i n g e r r o r = A_{p} - A_{s} = 30 - 20 = 10$

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The ages of five people in a group are 15,25, 30, 35 and 45. From this, a sample of two people having ages 15 and 25 was selected. What is the sampling error of the average age of the group?

The correct option is D 10 Average age of the population, Ap=15+25+30+35+455=30 Average age of the sample, As=15+252=20 Sampling error=Ap−As=30−20=10

The correct option is D
10

Average age of the population,

$A_{p} = \frac{15 + 25 + 30 + 35 + 45}{5} = 30$
Average age of the sample,

$A_{s} = \frac{15 + 25}{2} = 20$

$S a m p l i n g e r r o r = A_{p} - A_{s} = 30 - 20 = 10$