Describing Data Answers

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Which statement is correct about the time Mr. Lopez’s students spent studying for the final exam?

A
Four students did not study for the final exam.
B
The data distribution is symmetrical.
C
Most students spent an hour or less studying for the exam.
D
The students who spent the most time studying got the lowest scores on the exam.
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5

Which surveys illustrate an example of qualitative data? Check all that apply.the time, in minutes, it took students to finish their examsthe eye color of students involved in after-school activitiesthe characteristics of different types of birdsthe scores on the last examthe weights of different books

A
the time, in minutes, it took students to finish their exams
B
the eye color of students involved in after-school activities
C
the characteristics of different types of birds
D
the scores on the last exam
E
the weights of different books
6

A math teacher wants to find out the average number of hours his students spend working on their math homework for his class each week. Which group would best represent a sample of the population?

A
the first 30 students who enter the school building one morning
B
30 students selected from the lunchroom
C
30 students selected from his class rosters
D
30 students who stay after school for football practice
7

Maria wants to take a survey to predict who will win the election for her town’s mayor. Which samples are most likely to be biased? Check all that apply.

A
the residents of every other house on her street
B
the subscribers to a golf magazine
C
the people at the computer store at the mall
D
every 100th person from the town’s phone registry
E
every 10th person who walks down the main street in her town
8

Which statement is true about Anja’s claim?

A
She is incorrect; the histogram is skewed to the left because more data is on the left side.
B
She is incorrect; the histogram is skewed to the left because there is more data on the right side.
C
She is incorrect; the histogram is symmetrical because the right side is equal to the left side.
D
She is correct; the histogram is skewed to the right because there is less data on the right side.
9

Which statements are correct about the two-way frequency table? Check all that apply.

A
The survey represents quantitative data.
B
There is a greater percentage of 10th graders who do not have a sibling than 9th graders who do not have a sibling.
C
The total number of students in the poll who have a sibling is 116.
D
Fifty-two 10th graders were polled.
E
More 9th graders were polled than 10th graders.
10

Which statement is true about the box plot?

A
The youngest age is 7.
B
It is skewed right.
C
More of the children were close to 12 years old than 6 years old.
D
Half of the children were between 6 and 9 years old.
12

Which statements must be true according to the histogram? Check all that apply.

A
The data is qualitative.
B
The data is skewed right.
C
There were 31 people at the party.
D
There were children at the party.
E
The most common age of the attendees was 13 years old.
F
The majority of the people at the party were less than 61 years old.
13

Pete is conducting a survey to determine his customers’ overall satisfaction about the quality of his company’s products. He sends out surveys to the 5 customers who have purchased the largest number of items over the past year. Are his results likely to be representative of the population he is trying to analyze? Explain.

Answer:

His results are not likely to be representative of his entire customer base. The sample size of 5 is too small to provide accurate data. Furthermore, by only surveying his top 5 customers, he is creating a selection bias because people who buy the most items are likely already the most satisfied with the products. To get better results, he should use a larger, random sample of all his customers.

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Sample Response: The sample is from the right population, his customers. However, because he is surveying such a small number of people and only asking his best customers (who are probably the most satisfied, or they would not buy so much from him), the results are going to be biased, most likely positive, and not representative of his entire customer base. What did you include in your response? Check all that apply.The sample size is too small.Only sending the survey to his best customers will

A
The sample size is too small.
B
Only sending the survey to his best customers will yield biased results, most likely in the positive direction.
C
The sample is not representative of the entire population.
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