Unit 4 Part 1 Test Review

1 Describe the shape of each of the graphs. A. B. C.

2 What is a possible range for the third quartile given the data below? - 4th period had a median of 80 and an IQR of 5 -5th period had a median of 82 and an IQR of 7 80 – 85 80 – 89 82 – 85 82 – 89

3 For the set of data, which is not true? 72, 84, 90, 88, 75, 83 The median is 84.5 The first quartile is 75 The maximum is 90. The third quartile is 88.

4 Why are 4th periods scores higher than 5th periods? 5th period didn’t study as much 4th period had one high score 5th period had a lot of the same scores 4th period had no 70’s

5 Find the mean and mean absolute deviation.

6 Comparing Data Josh’s Mean= 31 MAD = 5.6 Rich’s Mean = 41 MAD= 6.24 Josh has a lower center but varies more Josh has a higher center but varies less. Richard has a higher center but varies more. Richard has a lower center but varies less.

7 What is the median of the data? 50 b. 67 c. 86 d. 100

8 What is the interquartile range of the following list of scores? 45, 52, 52, 65, 65, 73, 75, 75, 79, 82, 82, 83, 85, 86, 89, 89, 91, 93, 94, 98 16 b. 20 c. 53 d. 89

9 What is the outlier of the following list of scores? 45, 52, 52, 65, 65, 73, 75, 75, 79, 82, 82, 83, 85, 86, 89, 89, 91, 93, 94, 98 42 b. 91 c. 98 d. none

10 If your data has an outlier, what measure of central tendency would you use? Mean b. Mode C. Median D. Range

11 Give the outlier(s) on the dot plot below. What is the range of the dot plot?

12 Which set of data represents the box plot? 5, 5, 6, 6, 6, 6.5, 6.5, 6.5, 6.5, 7, 7, 8 ,8, 9 5, 5.5, 6, 6, 6, 6.5, 6.5, 6.5, 6.5, 7, 7, 8 ,8,9 5, 5.5, 6, 6, 6, 6.5, 6.5, 7, 7, 8 ,8,9 5, 5, 6, 6, 6,7, 7, 8 ,8,9

13 Use the box plot to answer the following questions What is the range of the data? b. What is the IQR? c. What is the median? d. What is the min and max?

14 What is the range of the data that falls in the Upper 25% b. Lower 50% c. Upper 75%

15 What is percent of the data that falls in the Between 5 -12.5 b. Between 12.5 - 25 c. Between 0 - 5

16 Josh’s IQR is higher than Richard’s IQR. Richard’s mean and median are lower than Josh’s. Richard’s upper quartile is higher than Josh’s. Josh’s lower quartile is the same as Richard’s.

17 1. Which design has the smallest IQR? 2. In which design are the smallest and median stopping distance the closest? 3. Which design has the longest stopping distance?

18

19 What measure of variability do you use with the mean? What measure of variability do you use with the median?

20 If you wanted to brag to your mom about your quiz scores, which measure of center (mean, mode, median) would you use -If you were Student 1? If you were Student 2? STUDENT 1 STUDENT 2 85 65 83 70 95

21 You’ve decided to take your employer, Mrs. Poor, to court because you feel you are underpaid each month. Which measure of center would your lawyer want to use to prove your case? Mean Mode Median Mr. Rich Mrs. Poor $550 $400 $450 $650 $525 $500

22 Which box and whisker represents the data: a. b. c.

24 – Find the upper and lower bounds of the outliers, then determine the outliers.