Normal Distributions and Data Analysis
Passage
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Anthony Clark
FREE Resource
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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
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
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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