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CC Coordinate Algebra
Unit 4A – Describing Data
Test Study Guide
Name: _________________________________________________________________ Date: _____________________________ 1. What are the 5 values needed to make a box-and-whisker plot?
2. The table shows the sizes, in square feet, of a sample of eight houses from a neighborhood. House 5 is a renovated warehouse. What is the range of the sizes of the house? House
1
2
3
4
5
6
7
8
Size
1005
1880
2304
789
15,500
1580
177
255
3. Anna surveys 25 of her fellow juniors and records the quiz grades for each of them. She wants to display the information in a way that her friends can see the shape of the distribution but NOT each individual grade. Which would be the BEST display for her to use to report the results to her class? A. Box Plot
B. Histogram
C. Dot Plot
Mr. Smith recorded the pulse rates for each of the students in his classes after the students had climbed a set of stairs. He displayed the results, by class, using the box plots shown. 4. Which class had the lowest median?
5. Which class had the highest IQR?
6. Which is the best description of the distribution?
7. An office manager is assigned the task of distributing new parking spaces to the employees in his building. In order to do so, he first takes data on the distance from parking space
D. Pie Graph
CC Coordinate Algebra
Unit 4A – Describing Data
Test Study Guide
to office for five of the employees and the number of minutes it takes each to walk to their office. The data is recorded below: Time (minutes) Distance
18
14
8
30
20
150
100
50
204
165
According to this data, if it takes a person 30 minutes to get to his/her desk, then how far do they park from their place of employment?
8. Using the following box and whiskers plot.
What is the value of Q1?
9.
Last week’s sales for ABC Store are recorded in the following dot plot, which two sales prices had 4 sales last week?
10. According to the following frequency chart of math test grades, in which interval did the most students score? Scores Frequency 60-69 1 70-79 18
CC Coordinate Algebra
Unit 4A – Describing Data 80-89 90-99 100+
Test Study Guide
9 11 7
Use the following dot plot to answers questions 11 & 12.
11. How many pieces of data are in the set?
12. What is the mode of the scores?
13. Which of the following set of numbers has the least mean absolute deviation (MAD)? 0, 3, 7, 1, 10, 9, 8 12, 11, 7, 11, 8, 9, 12
14. On the following frequency chart, in which interval does the median fall? Grades K-3 4-7 8-11
Frequency 15 10 7
15. The test scores for 10 students in Ms. Smith’s class were 68, 72, 76, 85, 88, 86, 75, 92, 97, 89. Make a frequency table to reflect this data.
CC Coordinate Algebra
Unit 4A – Describing Data
Test Study Guide
16. What does the box of the box and whiskers plot represent?
17. According the following frequency chart, how many people visited the Zoo last week? Ages 0-9 10-19 20-29 30-39 40-49
Frequency 0 2 5 0 2
18. Which of the following statements accurately describes the two data sets below. Data Set A: {7, 2, 6, 9, 1, 3} Data Set B: {9, 6, 6, 4, 7, 5} A. B. C. D.
Data Set A has a higher measure of center. Data Set B has a higher measure of center. Data Sets A & B have the same measure of center. The measure of center cannot be determined from the above data.
19. Which of the following statement is true about the histogram below?
A. B. C. D.
There were 14 people who participated in the survey in the age range 60-69. There were a total of 50 people surveyed. The range of the data is 1.9 kg. This histogram shows a uniform distribution.
CC Coordinate Algebra
Unit 4A – Describing Data
Test Study Guide
20. Which of the histograms shown below has a lower measure of center? A. B. 3.5 3 2.5 2 1.5 Frequency 1 0.5 0
Ages
Free Response: Find the mean and the mean absolute deviation of the following data set. Show ALL work! Set A:
4
3
1
2
2
6
4
7
10
3.3
5.1
2.0
2.5
1.5
3.6
1.2
Set B:
21. Find the mean absolute deviation of each set (M.A.D)
22. Which set of data has MORE variability? Use a complete sentence.
2
11
19
15
7
2
10
4
13
1 4
1
9
1
23. Find the 5 numbers that represent the Five Number Summary for the above data. Label each of the numbers accordingly. _____
_____
_____
_____
_____
24. Create a Box-and-Whisker Plot to represent this data
CC Coordinate Algebra
Unit 4A – Describing Data
Test Study Guide
25. What is the Interquartile Range (IQR) of this data?
26. What does IQR measure? Use complete sentences.
27. The quiz scores of five students in a class were 71, 62, 98, 75, and 93. A sixth student joined the class making the mean score 66. What was the grade of the sixth student?
Tyler and Alyssa each get paid a bonus at the end of each month. This table shows their bonuses. Month January February March April May June July
Tyler $25 $20 $20 $40 $60 $70 $20
Alyssa $20 $40 $10 $30 $20 $80 $70
28. Find the median for Tyler and for Alyssa and compare. Tyler’s Median_________________ Alyssa’s Median_______________ Compare your results about the measure of center.
29. Find the IQR for Tyler and for Alyssa and compare. Tyler’s IQR____________________ Alyssa’s IQR__________________ Compare your results using complete sentences. 30. Complete the frequency chart and histogram based on the following set of data. (intervals of 10) {18, 2, 22, 5, 26, 52, 45, 71, 44, 28, 44, 79, 15, 5, 15, 35, 25, 55, 35, 68, 41, 23, 33, 34, 78, 78, 48, 92, 94, 5, 12, 15} Interval
Frequency
CC Coordinate Algebra
Unit 4A – Describing Data
Test Study Guide