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The fowlling list has a mean of 24 what would be the new mean if 17 was added to list 12 ,30,19,27,21,35

User Mzonerz
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1 Answer

5 votes

Answer: 23

======================================================

Step-by-step explanation

Let's confirm the claim that the original mean is 24.

First we add the values:

12 + 30 + 19 + 27 + 21 + 35 = 144

Then divide this over the sample size (aka the number of values). The sample size is 6.

144/6 = 24

We have confirmed the mean of {12,30,19,27,21,35} is indeed 24.

----------------

Next, let's introduce the value 17 to this list

We now have {12,30,19,27,21,35,17}

Add up the values

12 + 30 + 19 + 27 + 21 + 35 + 17 = 144 + 17 = 161

Then divide over the new sample size (which is now 7)

161/7 = 23

The new mean is 23

--------------------

Extra info: The old mean (24) decreased by 1 to get the new mean (23). This is because the new value we introduced (17) is less than the old mean. The new value will give a so called gravitational pull on the mean to make it smaller.

User Jgindin
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