Adv Alg. Variability Study Guide

Mean, or x̄ , is a measure of:

• Spread

• Variability

• Central Tendency

• Distribution

Tags

CCSS.6.SP.A.3

In statistics, ' µ ' represents:

• Sample Size

• Sample Mean

• Population Size

• Population Mean

Tags

CCSS.6.SP.A.3

Standard Deviation, or σ , is a measure of:

• Sampling

• Spread

• Center

• Confidence

Tags

CCSS.6.SP.A.3

What is the formula for Z-scores:

A z-score is best described as:

• A sample value under the normal bell curve.

• Describes a value's relationship to the mean and is measured in standard deviations from the mean.

• A percentage or probability under the normal bell curve.

• A substitute for standard deviation.

A university math department is reviewing student scores to determine who will graduate with distinction. The selection has been narrowed to two students with the following:

Student 1 (91 test average), (Standard Deviation = 0.8)

Student 2 (91 test average), (Standard Deviation = 3.2)

Which student would be in a better position for distinction? (honors)

• Both students have the same average so they should share the honor.

• The students are tied for test average so there is no clear pick.

• Student 2 should receive distinction due to a 3.2 standard deviation which shows a greater range of scores.

• Student 1 should receive distinction due to a 0.8 standard deviation which shows consistency of scoring close to their average.

Tags

CCSS.7.SP.B.4

(Calculator Practice)

In the following data set, what is the mean: x̄

[88, 92, 91, 77, 86, 83, 76, 90]

Round to the hundredths place

• 85.38

• 84.71

• 85.5

• 84.88

Tags

CCSS.6.SP.B.5C

In the following data set, what is the standard deviation: σx

[88, 92, 91, 77, 86, 83, 76, 90]

Round to the hundredths place

• 6.19

• 5.78

• 6.18

• 5.79

The average wait time at the Kwik-E-Burger drive through is 5.5 minutes with a standard deviation of .8 minutes. What is the percent chance that a customer will have a wait time of less than 7.1 minutes?

Sketch a diagram to help solve

• 13.5%

• 47.5%

• 97.5

• 2.5%

Tags

CCSS.HSS.ID.A.4

The average wait time at the Kwik-E-Burger drive through is 5.5 minutes with a standard deviation of .8 minutes. What is the percent chance that a customer will have a wait time between 3.9 to 6.3 minutes?

Sketch a diagram to help solve

• 99.7

• 81.5

• 95%

• 84%

Tags

CCSS.HSS.ID.A.4