Question 1: The mean will increase slightly but will still be in the center of the data.
Question 2: The new median is 1. The median stayed the same.
Question 3: The range is now 7, but the interquartile range is still 4. The range increased slightly, but the interquartile range stayed the same.
Question 4: The new interquartile range is 1. The interquartile range stayed the same.
Question 5: The range of the original dataset is $86.33, and the range of the new dataset is $87.75.
Question 1
A)Aziz wonders how many pieces of pizza people tend to eat at a pizza party. He surveys 10 people at the end of a pizza party and asks them how many pieces of pizza they ate. A list of his results follows. Aziz uses his results to calculate that the mean number of pieces of pizza eaten is 3.5.
Number of Pieces of Pizza Eaten: 1, 2, 2, 2, 3, 4, 4, 5, 6, 6
After calculating the mean, Aziz realizes he forgot to include himself! He ate 6 pieces of pizza. Describe how adding another “6” to the dataset will impact the mean.(1 point)
Responses
The mean will increase by a lot. The mean will no longer be in the center of the data.
The mean will increase by a lot. The mean will no longer be in the center of the data.
The mean will increase slightly but will still be in the center of the data.
The mean will increase slightly but will still be in the center of the data.
The mean will stay the same.
The mean will stay the same.
The mean will decrease slightly but will still be in the center of the data.
The mean will decrease slightly but will still be in the center of the data.
Question 2
A)
Use the table to answer the question.
Number of Siblings Number of 6th Graders
0 3
1 12
2 5
3 2
4 0
5 1
Kaylen wants to know the number of siblings 6th graders typically have. She surveys the 6th graders on her soccer team. Her results are given in the table. She calculates that the median number of siblings is 1. She then realizes that she counted one data value twice by accident. She needs to remove one of the “0 siblings” values from the table. Determine how removing a “0” from the dataset will impact the median.
(1 point)
Responses
The new median is 3. The median increased.
The new median is 3. The median increased.
The new median is 1.5. The median increased.
The new median is 1.5. The median increased.
The new median is 1. The median stayed the same.
The new median is 1. The median stayed the same.
The new median is 5. The median increased.
The new median is 5. The median increased.
Question 3
A)
Aziz wonders how many pieces of pizza people tend to eat at a pizza party. He surveys 11 people at the end of a pizza party and asks them how many pieces of pizza they ate. A list of his results follows. Aziz uses his results to calculate that the range for number of pieces of pizza eaten is 6, and the interquartile range is 4.
Number of Pieces of Pizza Eaten: 6, 2, 1, 2, 4, 5, 2, 2, 4, 6, 7
After calculating the range and the interquartile range, Aziz realizes he forgot to include himself! He ate 3 pieces of pizza.
Determine the range and interquartile range after a “3” is added to the dataset. Describe how adding a “3” to the dataset impacts the range and the interquartile range.
(1 point)
Responses
The range is now 7, but the interquartile range is still 4. The range increased slightly, but the interquartile range stayed the same.
The range is now 7, but the interquartile range is still 4. The range increased slightly, but the interquartile range stayed the same.
The range is still 6, but the interquartile range is now 3.5. The range stayed the same, but the interquartile range changed slightly.
The range is still 6, but the interquartile range is now 3.5. The range stayed the same, but the interquartile range changed slightly.
The range is now 7, and the interquartile range is now 3.5. Both the range and the interquartile range changed slightly.
The range is now 7, and the interquartile range is now 3.5. Both the range and the interquartile range changed slightly.
The range is still 6, and the interquartile range is still 4. Both the range and the interquartile range stayed the same.
The range is still 6, and the interquartile range is still 4. Both the range and the interquartile range stayed the same.
Question 4
A)
Use the table to answer the question.
Number of Siblings Number of 6th Graders
0 3
1 12
2 5
3 2
4 0
5 2
Kaylen wants to know how many siblings 6th graders have. She surveys the 6th graders on her soccer team. Her results are given in the table. She calculates that the interquartile range for number of siblings is 1. She then realizes that she counted one data value twice by accident. She needs to remove one of the “0 siblings” values from the table.
Determine how removing a “0” from the dataset will impact the interquartile range.
(1 point)
Responses
The new interquartile range is 0.5. The interquartile range decreased.
The new interquartile range is 0.5. The interquartile range decreased.
The new interquartile range is 6.5. The interquartile range increased.
The new interquartile range is 6.5. The interquartile range increased.
The new interquartile range is 1.5. The interquartile range increased.
The new interquartile range is 1.5. The interquartile range increased.
The new interquartile range is 1. The interquartile range stayed the same.
The new interquartile range is 1. The interquartile range stayed the same.
Question 5
A)
Yasmine works as a server in a restaurant and earns different amounts in tips each night. Her earnings in tips over the course of 7 nights of work are shown in the following dataset.
{$35.80,$79.60,$38.10,$20.50,$10.45,$96.78,$45.90}
After Yasmine creates the dataset, she works an additional night and earns $98.20 in tips. Determine the range of the original dataset and the range of the new dataset with the new data point of $98.20 added.
(1 point)
Responses
The range of the original dataset is $86.33, and the range of the new dataset is $87.75.
The range of the original dataset is $86.33, and the range of the new dataset is $87.75.
The range of the original dataset is $10.10, and the range of the new dataset is also $10.10.
The range of the original dataset is $10.10, and the range of the new dataset is also $10.10.
The range of the original dataset is $10.10, and the range of the new dataset is $62.40.
The range of the original dataset is $10.10, and the range of the new dataset is $62.40.
The range of the original dataset is $35.45, and the range of the new dataset is $87.75.
The range of the original dataset is $35.45, and the range of the new dataset is $87.75.
1 answer