# MS 150 Statistics Test one • Name:

The first four questions are matching questions. Determine the level of measurement for each of the four examples.

 ____ 1. Pace in kilometers per minute. A. Interval ____ 2. Year: 1981, 1987, 1999, 2002 B. Ordinal ____ 3. Top ten names of baby names for babies born in 2006 in the United States in descending rank orders of popularity: [1 Jacob, 2 Michael, 3 Joshua, 4 Ethan, 5 Matthew, 6 Daniel, 7 Christopher, 8 Andrew, 9 Anthony, 10 William]; [1 Emily, 2 Emma, 3 Madison, 4 Isabella, 5 Ava, 6 Abigail, 7 Olivia, 8 Hannah, 9 Sophia, 10 Samantha] C. Nominal ____ 4. Azure, beige, cyan, fuchsia, sienna, teal D. Ratio
1. __________ What is your weight in pounds?
2. __________ What percent of your body is fat?
3. __________ How many pounds of fat are in your body? Multiply your weight in pounds by your percent body fat to determine the number of pounds of fat in your body. Remember to convert the percent body fat to a decimal - your pounds of body fat cannot be more than your total pounds!
4. __________ Can you survive with zero pounds of fat in your body?
5. ____________________ List a non-communicable disease that may result from too much body fat.
6. Which fitness level does your body fat percentage place you in?
1. ___ Essential fat only
2. ___ Athletic
3. ___ Physically fit
4. ___ Acceptable
5. ___ Overfat
6. ___ Obese
Rainbow bouncers
bounce/cm
64
80
60
66
79
61
65
78
60.5
67.5
81
62
67
79
61.5
63
80
62
65.5
81
63
67
76
63
66
80.5
61
67
80
62
69
80.2

Three different Imperial® plastics Rainbow Glitz™ Extreme Bouncers were tested for bounciness. The balls were dropped from a height of one meter. The height of the bounce in centimeters is recorded in the table on the right. This data can be copied and pasted from the online copy of this test.

Nota bene: Values equal to the bin upper limit go into that bin. That is, the bin upper limit includes data "up to and including the bin upper limit."

1. __________ What is the level of measurement?
2. __________ Find the minimum.
3. __________ Find the maximum.
4. __________ Find the range.
5. __________ If this data is divided into five bins, what is the width of a single bin?
6. Determine the frequency and calculate the relative frequency using five bins. Record your results in the table provided.
Ball bounce bin upper limitsFrequency FRelative Frequency

Sums:
7. Sketch a frequency histogram of the data, labeling your horizontal axis and vertical axis as appropriate. Use the back of this sheet if necessary.
8. __________ What is the shape of the histogram?