Question

4) Look at this set of 5 numbers: 5 3 5 3 4

By how much would the mean increase if the number 8 replaced one of the 3's in the
set?

Answer 1

Answer: It increases by 1

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Explanation:

To compute the mean, we first add up the numbers

5+3+5+3+4 = 20

Then divide by 5 since there are 5 numbers in the set

20/5 = 4

The mean is 4.

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Now replace one of the '3's with 8 and recompute the mean

5+8+5+3+4 = 25

25/5 = 5

The mean is now 5.

The old mean in the previous section was 4.

The mean has increased by 1 since 5-4 = 1.

Side note: The increase from 3 to 8 is +5, which when dividing by 5, we're basically incrementing the mean by +1.

Answer 2

Answer:

1

Step-by-step explanation:

Mean=Sum of terms/ No.of terms

→5+3+5+3+4/5

20/5=4

If we replace 3 as 8 in one of the place values, Then:

5+3+5+8+4/5=25/5

→5

Increment= 5-4=1

THUS, 1 is increased.

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