Remove one value from the following data to make each statement true.
32,45,82,99,15,102,75,15,15,75,2,75
a)The mean is 56.09
How do you know the removed value makes it true?
Add up all the numbers: 632
There are 12 numbers, so the mean is 52.666
Now, you want to remove one value so that the remaining 11 have a mean of 56.09.
Well, 11*56.09 = 617
So, if you remove one of the 15's, the remaining 11 numbers add up to 617, giving the desired mean.
Thank you so much !
so you do math and then you get the consises of ur mom
Steve, why is your answer 617? Isn't 11 x 56.09 = 161.99? Why would you round it?
To remove one value from the given data to make the statement true, we need to find the mean of the remaining values.
Here is how we can determine the mean for the given data:
1. Add up all the values in the data set: 32 + 45 + 82 + 99 + 15 + 102 + 75 + 15 + 15 + 75 + 2 + 75 = 656.
2. Divide the sum by the number of values in the data set: 656 ÷ 12 = 54.67 (rounded to two decimal places).
Since the mean of the given data is 54.67, we need to remove a value that will increase the mean to 56.09.
To find the removed value, we can use the formula for the mean:
(mean ⨉ number of values) - sum of remaining values = removed value
Applying this formula, we have:
(56.09 ⨉ 12) - 656 = 195.08 - 656 = -460.92
Since the value -460.92 is not present in the original data set, we can conclude that there is no single value that, when removed, would make the mean equal to 56.09. Therefore, it is not possible to remove a single value to make the statement true.