Mean, Range, Variance, Standard Deviation Calculations

1. Calculate the meanfor 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 modefor 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 varianceand standard deviationfor 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

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 …

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