Download Mean Median Mode Range Standard Deviation Coefficient of Varia

List of Concepts to know for 3.1­3.2 Quiz:
­Mean
­Standard Deviation
­Median
­Coefficient of Variation (CV)
­Mode
­Chebyshev's Theorem ­Range
Note: You will have to calculate ONE standard deviation problem using the long method. We will give you the steps on the board. On the rest of the quiz you may use the calculator to get S.D.
3.1 ­ 3.2 Quiz Review
1) Calculate the standard deviation for the following data set. Use the step‐by‐step process (all 6 steps are listed on the board).
6
12
21
24
29
33
38
45
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Step 6:
2) Coefficient of Variation = ___________ x 100
3) Chebyshev's Theorem
At least ______% of the data will fall between ‐2s and 2s standard deviations of the mean.
At least ______% of the data will fall between ‐3s and 3s standard deviations of the mean.
At least _____% of the data will fall between ‐4s and 4s standard deviations of the mean.
4) A football coach has been recording the number of points that his team scores each week. Data for the first 7 games is as follows:
16 35 24 28 29
41
37
a) Compute the mean, median, and mode.
Mean = _____________
Median = ___________
Mode = _____________
b) Compute the range, sample standard deviation, and sample variance.
Range = _____________
Standard Deviation = ______________
Variance = _____________
c) Compute the coefficient of variation.
CV = _____________
d) Compute a Chebyshev interval that contains 75% of the data values.
e) Compute a Chebyshev interval that contains 88.9% of the data values.
f)
Compute a Chebyshev interval that contains 93.8% of the data values.
5)
(a) Find the mean, median and mode for the data.
(b) Find the range, standard deviation, and CV for the data.
(c) Find a 75% Chebyshev interval for the data.
(d) Find an 88.9% Chebyshev interval for the data.
(e) Find a 93.8% Chebyshev interval for the data.