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mean, median, mode, MAD, box plots

- Review

1 2 3 4 5

6 7 8 9

1

- Name the two Measures of Center we have discussed

1 Answer

- Mean
- Median

2

- Name the three Measures of Spread we have

discussed.

2 Answer

- Range
- Interquartile range (IQR)
- Mean Absolute Deviation (MAD)

3

- Find the mean, median and mode of the data

displayed in the stem-and-leaf plot.

3 Answer

- Mean 73.25
- Median 74
- Mode 63, 82, and 83

4

4 Answer

5

- Heights of basketball players (in)
- 73, 67, 75, 81, 67, 75, 85, 69
- lower extreme ____
- upper extreme ____
- LQ/Q1 ____ median ____
- UQ/Q3 ____ range ____IQR ____
- Make a box plot to display the data.

5 Answer

- Heights of basketball players (in)
- 73, 67, 75, 81, 67, 75, 85, 69
- lower extreme 67
- upper extreme 85
- LQ/Q1 68 median 74
- UQ/Q3 78 range 18 IQR 10

6

- The IQR represents what percent of the data?

_____ - What percent of the baseball players are shorter

than 74 in? _____ - The median to the lower quartile represents what

percent of the data? _____ - What is the IQR of the data? _____
- What is the range of the data? _____
- Suppose the tallest player was 80 in, instead of

76 in. Would this be more likely to affect the

range or IQR? Explain.

6 Answer

- The IQR represents what percent of the data? 50
- What percent of the baseball players are shorter

than 74 in? 75 - The median to the lower quartile represents what

percent of the data? 25 - What is the IQR of the data? 8
- What is the range of the data? 12
- Suppose the tallest player was 80 in, instead of

76 in. Would this be more likely to affect the

range or IQR? Explain. The range, the higher

number would make the range larger. It wouldnt

affect the median.

7

Math Test Scores Olive 98 92 88 92

95 Chris 88 86 93 88 90

- Find the mean absolute deviation of both

students test scores. - Who has a better test average?
- Who is the most consistent test taker? How do you

know?

7 Answer

Mean 465/5 93

Mean 445/5 89

Olives Test Scores Distance from mean

98 5

92 1

88 5

92 1

95 2

Chriss Test Scores Distance from mean

88 1

86 3

93 4

88 1

90 1

MAD 14/5 2.8

MAD 10/5 2

- Olive has a higher test average.
- Chris is the more consistent test-taker, because

his MAD is smaller. This means that his test

scores are closer to the mean.

8

- Ten students were surveyed to find out how much

weekly allowance they received. The following

data was collected 8, 8, 6.50, 12, 12, 9,

15, 15, 25, 45. - mean _________________ median _____________
- Which measure of center is the most appropriate

to describe the typical allowance for this group

of students? Justify your reasoning.

8 Answer

- Ten students were surveyed to find out how much

weekly allowance they received. The following

data was collected 8, 8, 6.50, 12, 12, 9,

15, 15, 25, 45. - mean 15.55 median 12
- Which measure of center is the most appropriate

to describe the typical allowance for this group

of students? Justify your reasoning.The median

best represents the measure of center for this

data, because it is closer to more of the data.

Eight of the ten pieces of data fall below the

mean.

9

- Amandas test scores are 85, 93, 84, and 88. What

does she need to score on the next test for her

test average to be a 90?

9 Answer

- Amandas test scores are 85, 93, 84, and 88. What

does she need to score on the next test for her

test average to be a 90?