# Mean, Range, Variance, Standard Deviation Calculations

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1. Calculate the mean for samples where:

a. n=10 sum of x=85 ?

b. n= 16 sum of x = 400 ?

c. n =45 sum of x =35 ?

d. n=18 sum of x =242 ?

2. Calculate the mean, median, and mode for each of the following samples:

a. 7, -2, 3, 3, 0, 4

b. 2, 3, 5, 3, 2, 3, 4, 3, 5, 1, 2, 3, 4

c. 51, 50, 47, 50, 48, 41, 59, 68, 45, 37

3. Calculate the variance and standard deviation for samples where:

a. n=10, sum of x^2 = 84, sum of x = 20

b. n=40, sum of x^2 = 380, sum of x = 100

c. n=20, sum of x^2 = 18, sum of x = 17

4. Calculate the range, variance, and standard deviation of the following samples:

a. 39, 42, 40, 37, 41

b. 100, 4, 7, 96,80,3,1,10,2

c. 100, 4, 7, 30, 80, 30,42, 2

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This response contains complete, worked-through solutions for statistics problems specific to mean, median, mode, range, variance and standard deviation calculations.

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1. The formula to calculate the mean: Mean = sum of x/n.

a) Mean = 85/10

= 8.5

b) Mean = 400/16

= 25

c) Mean = 35/45

= 0.78

d) Mean = 242/18

= 13.44

2. To determine the median, you must arrange all the scores within the data set in ascending order and find the middle number. If there is an even number of scores, take ...

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