Question

Youssef has a goal of drawing in his sketchbook at least 10 times per week to improve his skills. He records how many times he was able to sketch each week for 18 weeks. The dot plot below displays his data.

PART A

Which measure of center should Youssef choose to analyze his weekly sketching goal? Why?

Responses
A Youssef should use the mean because the data is roughly symmetric.Youssef should use the mean because the data is roughly symmetric.
B Youssef should use the median because the data is roughly symmetric.Youssef should use the median because the data is roughly symmetric.
C Youssef should use the mean because the data is skewed left.Youssef should use the mean because the data is skewed left.
D Youssef should use the median because the data is skewed left.Youssef should use the median because the data is skewed left.
Question 2
PART B

Which of the following best describes the impact of removing the values 0 and 2 from the data set?

Responses
A The median will increase and the mean will stay the same.The median will increase and the mean will stay the same.
B The mean will increase and the median will stay the same.The mean will increase and the median will stay the same.
C Both the median and the mean will increase.Both the median and the mean will increase.
D The mean will decrease and the median will stay the same.The mean will decrease and the median will stay the same.

Answer 1

[AI-generated answer — Bot GPT 3.5]

PART A: Youssef should use the median because the data is roughly symmetric. The dot plot displays a relatively symmetrical distribution, which suggests that the median would be an appropriate measure of center.

PART B: The mean will increase and the median will stay the same. By removing the values 0 and 2 from the data set, the mean will increase because these values are relatively low compared to the rest of the data. However, since the median represents the middle value in the data set, removing these values will not affect the position of the median.