Normal Distributions and Data Analysis

Normal Distributions and Data Analysis

12th Grade

19 Qs

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Normal Distributions and Data Analysis

Normal Distributions and Data Analysis

Assessment

Passage

Mathematics

12th Grade

Practice Problem

Hard

Created by

Anthony Clark

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19 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which statement best describes the relationship between the three types of distributions?

They are completely independent of each other

They serve identical purposes in statistics

They build upon each other for statistical inference

They cannot be used together

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The distribution of assembly times required to assemble a certain smartphone is approximately normal with mean 4.6 minutes and standard deviation 0.6 minute. Of the following, which is closest to the percentage of assembly times between 4 minutes and 5 minutes?

34%

41%

59%

68%

95%

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For a recent season in college football, the total number of rushing yards for that season is recorded for each running back. The mean number of rushing yards for the running backs that season is 790 yards. One running back had 1,637 rushing yards for the season, which is 2.42 standard deviations above the mean number of rushing yards. What is the standard deviation of the number of rushing yards for the running backs that season?

250 yards

300 yards

350 yards

400 yards

450 yards

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The histogram shown summarizes the responses of 100 people when asked, “What was the price of the last meal you purchased?” Based on the histogram, which of the following could be the interquartile range of the prices?

40

21

10

5

3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Between what two standard deviations of a normal distribution contain 95% of the data?

one below and one above

two below and two above

two below and zero

zero and two above

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

This data is normally distributed.  What percentage of the data is in the shaded region?

68%

34%

17%

50%

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What percent of a normal distribution lies outside of ±3 standard deviations?

99.7%

.15%

.3%

100%

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