Name ______Date ______

The following are the points allowed by the Northern Burlington High School Basketball team in its first 35 games.

133 118 124 109 104 101 125 83 99 131 98 125 97 106 112 92 120 103

111 117 135 143 112 112 116 106 117 119 110 105 128 112 126 105 102

Create a stem and leaf plot. Clearly identify the position of the median, Q1, and Q3.

Find the range, IQR and create a box and whiskers plot.

Describe how you would calculate the mean for the data above (do not calculate the Mean). Would you expect the mean to be higher, lower or about the same as the median? Why?

The following stem and leaf diagram displays the ages of sales employees (in years) at a local Wawa.

1 6 8 9

2 1 2 8 9 9 9

3 2 3 3 8 9

4 0 1 1 4

5 0 3

6 4

Create a histogram of the ages of sales employees at Wawa. (use five classes)

Describe the shape of the distribution.

Find the five number summary describe what each measure represents in the context of this problem. Find the IQR.

Find the mean and fill in the table below to find the variance and standard deviation.

Data (x) / Deviation (x - x) = / (x - x)2

=

Variance =

Standard deviation =

Would it be more appropriate to describe the center and spread of the Wawa sales employees’ ages using the mean and standard deviation or the median and IQR.

Match each description with its term. You may end up using a term from the pool more than once or not at all.

Word Pool

Mean Standard Deviation IQR (Interquartile Range) Median Range Third quartile Mode First quartile

______A good choice for describing the center of skewed data

______Compares the extremes of the data.

______Summarizes how far each data value is from the average of the data

______Splits a histogram into halves.

______Describes the center of symmetric data better than it describes the center of skewed data.

______Summarizes the spread of the central 50% of the data.

______The “balancing point” of the data.

______The center of the lower half of the data.

______Where the peaks of a histogram are.

All students in a physical education class completed a basketball free-throw shooting event and the highest number of shots made was 32. The next day the student who had made 32 realized that the number was recorded incorrectly and should have been 35 shots. Indicate whether adding the newly corrected score to the rest of the data made each of these summary statistics increase, decrease, or stay about the same:

a. mean

b. median

c. range

d. IQR

e. standard deviation