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Question

Mathematics Question on Statistics

For the given five values 12, 15, 18, 24, 36; the three-year moving averages are:

A

15, 25, 21

B

15, 27, 19

C

15, 19, 26

D

15, 19, 30

Answer

15, 19, 26

Explanation

Solution

The three-year moving average is calculated by taking the average of three consecutive numbers.

First moving average:

Average=12+15+183=453=15.\text{Average} = \frac{12 + 15 + 18}{3} = \frac{45}{3} = 15.

Second moving average:

Average=15+18+243=573=19.\text{Average} = \frac{15 + 18 + 24}{3} = \frac{57}{3} = 19.

Third moving average:

Average=18+24+363=783=26.\text{Average} = \frac{18 + 24 + 36}{3} = \frac{78}{3} = 26.

Thus, the three-year moving averages are 15, 19, 26.