Unit 8 Test: Statistics cloned 4/14/2022

1

The class size for 8 classrooms is shown.

14, 22, 24, 25, 25, 28, 32, 34

Which class size affects the range of all 8 classes the MOST?

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A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?

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Hiram asked his math class, “How many pets do you own?” He graphed the results on the line plot.

Which of the following is the BEST description of the data?

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Emily, Zeke, Harry, and Brook each conducted surveys on the number of books people have in their homes. Then, each student determined the accuracy of the following statement.

All measures of central tendency must appear as a number in the set of data collected.

Which student’s statement is CORRECT?

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1

The high temperatures for a week are shown.

15°, 34°, 17°, 15°, 16°, 8°

Which measure of center, mean or median, would BEST represent the data? Explain in the show your work section.

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1

The box-and-whisker plot summarizes student scores on a physical fitness test.

Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get receive an award?

Explain in the show your work section.

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1

Cindy was using her cell phone app to record the wait time for various rides at an amusement park. The times that she wrote down, in minutes, are shown.

20, 34, 40, 41, 50, 50, 53, 56, 57, 58, 64, 70

Which histogram represents the results?

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1

Tierney raises ponies. The heights, in centimeters, of Tierney’s ponies are listed.

90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96

What is the number of observations in this data set?

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1

Draw a line plot in the show your work section. Then, describe the shape, center, and spread of the data. Use vocabulary such as clusters, peaks, gaps, symmetry, skewed left, and skewed right in your description.

90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96
Cluster __________
Peak __________
Gap __________
Shape __________

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1

Tierney says that 40% of her ponies are over 96 centimeters in height. Is Tierney’s statement CORRECT? Justify your answer using your mathematical evidence int he show your work section.

90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96

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1

Mario recorded the height of his teammates.

 Show your work for the following:

What is the minimum _______ 
What is the First Quartile _______ 
What is the Median _______ 
What is the Third Quartile _______ 
What is the Maximum for the data _______ 

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Mario recorded the height of his teammates.

What is the interquartile range? Explain what the IQR represents in the show your work section.

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Three students were absent the day Mario recorded the heights. The heights of these three students are 45 inches, 60 inches, and 70 inches. How will the box-and-whisker plot change if you add these three measurements to the data?

Minimum __________
Q1 __________
Q2/median __________
Q3 __________
Maximum __________
IQR __________
Range __________

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1

A middle school coach wrote down the time, in seconds, of her students’ 100-meter dash as shown in the table.


What are the measures of central tendency (mean, median, and mode) for the data? Show your work.
mean _______ 
median _______ 
mode _______ 

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1

A middle school coach wrote down the time, in seconds, of her students’ 100-meter dash as shown in the table.

If the slowest time and the fastest time are removed from the data, how does the new mean compare to the mean of the original data set? Explain your answer.

new mean (round to the nearest tenths place) _______ 
The new mean (increased/decreased) _______

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1

Categorize the questions below as statistical or non statistical.

Do you watch television every day?
What class is Ms. Cooper's favorite?
On average, how many days a week do the sixth graders study?
What proportion of the students in sixth grade play wordle?
What time do the sixth graders get dismissed to connections?

STATISTICAL

MGSE6.SP.2

Unit 8 Test: Statistics cloned 4/14/2022

The class size for 8 classrooms is shown.14, 22, 24, 25, 25, 28, 32, 34Which class size affects the range of all 8 classes the MOST?

A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?

Hiram asked his math class, “How many pets do you own?” He graphed the results on the line plot.Which of the following is the BEST description of the data?

Emily, Zeke, Harry, and Brook each conducted surveys on the number of books people have in their homes. Then, each student determined the accuracy of the following statement.All measures of central tendency must appear as a number in the set of data collected.Which student’s statement is CORRECT?

The high temperatures for a week are shown.15°, 34°, 17°, 15°, 16°, 8°Which measure of center, mean or median, would BEST represent the data? Explain in the show your work section.

The box-and-whisker plot summarizes student scores on a physical fitness test.Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get receive an award?Explain in the show your work section.

Cindy was using her cell phone app to record the wait time for various rides at an amusement park. The times that she wrote down, in minutes, are shown.20, 34, 40, 41, 50, 50, 53, 56, 57, 58, 64, 70Which histogram represents the results?

Tierney raises ponies. The heights, in centimeters, of Tierney’s ponies are listed.90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96What is the number of observations in this data set?

Tierney says that 40% of her ponies are over 96 centimeters in height. Is Tierney’s statement CORRECT? Justify your answer using your mathematical evidence int he show your work section. 90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96

Mario recorded the height of his teammates.What is the interquartile range? Explain what the IQR represents in the show your work section.

Categorize the questions below as statistical or non statistical.

The class size for 8 classrooms is shown.14, 22, 24, 25, 25, 28, 32, 34Which class size affects the range of all 8 classes the MOST?

A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?

Hiram asked his math class, “How many pets do you own?” He graphed the results on the line plot.Which of the following is the BEST description of the data?

Emily, Zeke, Harry, and Brook each conducted surveys on the number of books people have in their homes. Then, each student determined the accuracy of the following statement.All measures of central tendency must appear as a number in the set of data collected.Which student’s statement is CORRECT?

The high temperatures for a week are shown.15°, 34°, 17°, 15°, 16°, 8°Which measure of center, mean or median, would BEST represent the data? Explain in the show your work section.

The box-and-whisker plot summarizes student scores on a physical fitness test.Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get receive an award?Explain in the show your work section.

Cindy was using her cell phone app to record the wait time for various rides at an amusement park. The times that she wrote down, in minutes, are shown.20, 34, 40, 41, 50, 50, 53, 56, 57, 58, 64, 70Which histogram represents the results?

Tierney raises ponies. The heights, in centimeters, of Tierney’s ponies are listed.90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96What is the number of observations in this data set?

Tierney says that 40% of her ponies are over 96 centimeters in height. Is Tierney’s statement CORRECT? Justify your answer using your mathematical evidence int he show your work section. 90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96

Mario recorded the height of his teammates.What is the interquartile range? Explain what the IQR represents in the show your work section.

Categorize the questions below as statistical or non statistical.

The class size for 8 classrooms is shown.

14, 22, 24, 25, 25, 28, 32, 34

Which class size affects the range of all 8 classes the MOST?

Hiram asked his math class, “How many pets do you own?” He graphed the results on the line plot.

Which of the following is the BEST description of the data?

The high temperatures for a week are shown.

15°, 34°, 17°, 15°, 16°, 8°

Which measure of center, mean or median, would BEST represent the data? Explain in the show your work section.

The box-and-whisker plot summarizes student scores on a physical fitness test.

Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get receive an award?

Explain in the show your work section.

Cindy was using her cell phone app to record the wait time for various rides at an amusement park. The times that she wrote down, in minutes, are shown.

20, 34, 40, 41, 50, 50, 53, 56, 57, 58, 64, 70

Which histogram represents the results?

Tierney raises ponies. The heights, in centimeters, of Tierney’s ponies are listed.

90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96

What is the number of observations in this data set?

Tierney says that 40% of her ponies are over 96 centimeters in height. Is Tierney’s statement CORRECT? Justify your answer using your mathematical evidence int he show your work section.

90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96

Mario recorded the height of his teammates.

What is the interquartile range? Explain what the IQR represents in the show your work section.

The class size for 8 classrooms is shown.

14, 22, 24, 25, 25, 28, 32, 34

Which class size affects the range of all 8 classes the MOST?

Hiram asked his math class, “How many pets do you own?” He graphed the results on the line plot.

Which of the following is the BEST description of the data?

The high temperatures for a week are shown.

15°, 34°, 17°, 15°, 16°, 8°

Which measure of center, mean or median, would BEST represent the data? Explain in the show your work section.

The box-and-whisker plot summarizes student scores on a physical fitness test.

Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get receive an award?

Explain in the show your work section.

Cindy was using her cell phone app to record the wait time for various rides at an amusement park. The times that she wrote down, in minutes, are shown.

20, 34, 40, 41, 50, 50, 53, 56, 57, 58, 64, 70

Which histogram represents the results?

Tierney raises ponies. The heights, in centimeters, of Tierney’s ponies are listed.

90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96

What is the number of observations in this data set?

Tierney says that 40% of her ponies are over 96 centimeters in height. Is Tierney’s statement CORRECT? Justify your answer using your mathematical evidence int he show your work section.

90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96

Mario recorded the height of his teammates.

What is the interquartile range? Explain what the IQR represents in the show your work section.