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Normal Distribution and Percentiles

Authored by Anthony Clark

Mathematics

12th Grade

Used 1+ times

Normal Distribution and Percentiles
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If I tell you that you scored at the 55th percentile on your final exam, you would know:

55% of the class scored the same or worse than you did

You earned a 55% on the exam

You failed the exam

45% of the class scored worse than you did

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile rank for 11.

70

62.5

72.5

75

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Jeremy scored a 74 on his test. 16 of the 26 scores on the test are less than or equal to 74. What is Jeremy's percentile rank?

62nd percentile

38th percentile

74th percentile

26th percentile

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Shannon spent $60 on her homecoming dress. If 197 of the 300 students that bought a homecoming dress spent more than Shannon, what is the percentile rank of her cost?

103rd percentile

34th percentile

66th percentile

20th percentile

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A 12 oz. can of soda has a mean volume of 12 oz, with a standard deviation of 0.25 oz. What is the percentile for a soda that only has 11.5 oz.?

3rd percentile

16th percentile

50th percentile

84th percentile

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

At a local high school, GPAs are normally distributed with a mean of 2.9 and a standard deviation of 0.6. If you have a GPA of 4.1, what is your percentile?

50th percentile

84th percentile

98th percentile

2.5 percentile

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

At a high school, GPAs are normally distributed with a mean of 2.9 and a standard deviation of 0.6. Find the z-score of a GPA of 3.2? What percentile is this?

z=0.5, 67th percentile

z=0.5, 69th percentile

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