Question

1. Solve for the median of the set of data:

61, 40, 65, 48, 64, 57, 64, 42, 56, 55

2. Identify the outlier in the data. Then Solve for the mean when the outlier is included and when it is not included.
68, 63, 67, 66, 65, 87, 69, 61, 86, 82, 28

3. Re-write 9 ∙ 9 ∙ 9 ∙ 9 ∙ 9 ∙ 9 ∙ 9 ∙ 9 using an exponent.
Tip: Use ^ when writing exponents. Example: 2^2 is the same as 22

Answer 1

1. Solve for the median of the set of data:
61, 40, 65, 48, 64, 57, 64, 42, 56, 55
To solve the medians, we need to order the numbers from least to greatest first, and then find the middle, which is:

`40,42,48,55,56,57,61,64,64,65`
In this case, I see that there are 2 numbers in the middle-56 and 57. To find the median, add 56 and 57 together and divided by 2.
Median:

`(56+57)/2 =113/2 =56.5`
2.
68, 63, 67, 66, 65, 87, 69, 61, 86, 82, 28
Order them
28,61,63,65,66,67,68,69,82,86,87
Then, outlier means that there is one number that are far from the range. In this case, we see that 28 is our outlier.
To find the means, add all the number together and divded for 11 in this case if we included outlier.
Means included outlier:

`(28+61+63+65+66+67+68+69+82+86+87)/11 =742/11`

`742/11 =67.4545454545...`
Or
67 5/11
Means without outlier:
(61+63+65+66+67+68+69+82+86+87)/10
=714/10
=71.4
3/
9 ∙ 9 ∙ 9 ∙ 9 ∙ 9 ∙ 9 ∙ 9 ∙ 9

`=9^8`. Hope it help!