A data set has a mean of 22. If x=16 has a z-score of -2, what is the value of σ?

You cannot tell σ, if the data isn't normally distributed.

What does a z-score of -3.1 mean?

The data point is 3.1 standard deviations below the mean.

The data point is 3.1 units below the mean.

The data point is 3.1 units above the mean.

The data point is 3.1 standard deviations above the mean.

What does a z-score of 0 mean?

The score is equal to the mean.

You can't tell unless you know the data is normal.

What does a z-score of 2.15 mean?

The score is 2.15 standard deviations above the mean.

The score is 2.15 units above the mean.

The score is 2.15 units below the mean.

The score is 2.15 standard deviations below the mean.

Parvati's potions quiz grade had a z-score of 1.8, Lavender's score on her divination quiz had a z-score of 0.7. Who did better?

Parvati, she was 1.8 standard deviations above the mean and Lavender was only above by 0.7 standard deviations.

Parvati, she was 1.8 points above the mean and Lavender was only above by 0.7 points.

You can't tell if you don't know which class Hermione is in.

You can't tell if the scores were on different quizzes.

Which of the following is NOT part of the Empirical Rule (for normal distributions)?

100% of data is within 4 standard deviations of the mean

95% of data is within 2 standard deviations of the mean

68% of data is within 1 standard deviation of the mean

99.7 % of data is within 3 standard deviations of the mean

Does the histogram provided meet the criteria for normal data?

yes, it's roughly unimodal AND symmetric

Does the data provided meet the criteria for normal data?

yes, the 68-95-99.7 rule is roughly met.

no, only 32% of data is within 1 standard deviation.

You cannot tell from this information.

no, only 40% of data is within 2 standard deviations.

Does the normal probability plot provided meet the criteria for normal data?

no, there should be curves at the ends

no, it should be horizontal at the ends

Percentiles and Normal Distribution Review

Authored by Nichole Nelmark

Mathematics

10th - 12th Grade

CCSS covered

Used 49+ times

Percentiles and Normal Distribution Review

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28 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does σ represent?

sample standard deviation

population/distribution standard deviation

sample mean

population/distribution mean

Tags

CCSS.HSS.ID.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does μ represent?

sample standard deviation

population/distribution standard deviation

sample mean

population/distribution mean

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value(s) must you include when defining a normal distribution?

both μ and σ

68, 95 and 99.7

Tags

CCSS.HSS.ID.A.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Below is a list of weights of 10 puppies, determine the percentile of a 5 pound puppy.
2, 3, 3, 4, 4, 5, 5, 5, 6, 7

80th Percentile

70th Percentile

50th Percentile

7th Percentile

Tags

CCSS.6.SP.B.5

CCSS.6.SP.A.2

CCSS.6.SP.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Anna and her brother are both 62 inches tall. Anna is in the 85th percentile for height for her age and her little brother is in the 90th percentile. Who is taller for their age?

They're the same, both 62 inches.

Anna, she's taller than more people.

Brother, he's taller than more people.

You can't tell if you don't know the mean and standard deviation.

Tags

CCSS.6.SP.B.5

CCSS.6.SP.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tests in Mr. Jones class have a mean score of 73 and standard deviation of 6 points. Mark scored a 68 on the test. What is his z-score?

0.83

-0.83

-5

Tags

CCSS.HSS.ID.A.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Mile times for 2nd hour PE have an average of 9.5 minutes with a standard deviation of 0.8 minutes. Jessica's PE teacher told her that her time was 1.5 standard deviations below the mean. What was her time in minutes?

10.3 minutes

10.7 minutes

8.3 minutes

8.7 minutes

Tags

CCSS.HSS.ID.A.4

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Percentiles and Normal Distribution Review

What does σ represent?

What does μ represent?

What value(s) must you include when defining a normal distribution?

Below is a list of weights of 10 puppies, determine the percentile of a 5 pound puppy.
2, 3, 3, 4, 4, 5, 5, 5, 6, 7

Anna and her brother are both 62 inches tall. Anna is in the 85th percentile for height for her age and her little brother is in the 90th percentile. Who is taller for their age?

Tests in Mr. Jones class have a mean score of 73 and standard deviation of 6 points. Mark scored a 68 on the test. What is his z-score?

Mile times for 2nd hour PE have an average of 9.5 minutes with a standard deviation of 0.8 minutes. Jessica's PE teacher told her that her time was 1.5 standard deviations below the mean. What was her time in minutes?

If the mean of a data set is 18 and the standard deviation is 3. What original data value has a z-score of -1.2?

A data set has a mean of 22. If x=16 has a z-score of -2, what is the value of σ?

If x=12 has a z-score of 2.2 and the standard deviation is 3, what is the value of μ?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Percentiles and Normal Distribution Review

What does σ represent?

What does μ represent?

What value(s) must you include when defining a normal distribution?

Below is a list of weights of 10 puppies, determine the percentile of a 5 pound puppy. 2, 3, 3, 4, 4, 5, 5, 5, 6, 7

Anna and her brother are both 62 inches tall. Anna is in the 85th percentile for height for her age and her little brother is in the 90th percentile. Who is taller for their age?

Tests in Mr. Jones class have a mean score of 73 and standard deviation of 6 points. Mark scored a 68 on the test. What is his z-score?

Mile times for 2nd hour PE have an average of 9.5 minutes with a standard deviation of 0.8 minutes. Jessica's PE teacher told her that her time was 1.5 standard deviations below the mean. What was her time in minutes?

If the mean of a data set is 18 and the standard deviation is 3. What original data value has a z-score of -1.2?

A data set has a mean of 22. If x=16 has a z-score of -2, what is the value of σ?

If x=12 has a z-score of 2.2 and the standard deviation is 3, what is the value of μ?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Below is a list of weights of 10 puppies, determine the percentile of a 5 pound puppy.
2, 3, 3, 4, 4, 5, 5, 5, 6, 7