Algebra II: Unit 8 Review

Statistical information for a data set is given.

- The mean of the data set is 45.

- The standard deviation for the data set is 4.1.

- The z-score for a data point in this set is -0.8.

In which interval is this data point?

The mean for a data set is 16.2. The z-score for data point A is -0.5, and the z-score for data point B is 0. What are possible values for data points A and B?

• A = 17.4 / B = 0

• A = 15.7 / B = 0

• A = 15.7 / B = 16.2

• A = 17.4 / B = 16.2

Jimmy is deciding between two brands of candles, Trader Joes or Yankee Candle. Both companies say their 9oz candles have a mean lifespan of 8 hrs. The lifespan of candles has a distribution that is approximately normal. Trader Joe's distribution of the lifespan for 9oz candles has a standard deviation of approximately .75 hrs, and Yankee Candle's distribution of the lifespan for 9oz candles has a standard deviation of 1.25 hrs. Which candle should Jimmy buy?

• Trader Joe's

• Yankee Candle

Tags

CCSS.7.SP.B.4

Given a normally distributed data set of 750 observations of elephants' weights, what is the approximate number of observations that fall within two standard deviations of the mean?

• 512

• 712

• 716

• 747

Tags

CCSS.HSS.ID.A.4

A fictional standardized test is designed so that the scores are normally distributed. The mean score is a 750 and the standard deviation is 65. Approximately what percentage of scores are below 700?

• 6%

• 22%

• 35%

• 59%

Tags

CCSS.HSF-LE.A.1B

This table shows data on the number of dollars raised during a fundraiser for four different classes and one student in each class. Which of the four students raised the most money?

• Jerry

• Gemma

• Mandy

• Xander

Tags

CCSS.HSS.ID.A.4

A fictional standardized test is administered school-wide at ACHS. The results are normally distributed and have a mean score of 120 and a standard deviation of 6. If Emmy's z-score is 0.75, what was her score on the test?

• 130.5

• 126

• 115.5

• 124.5

The data set shown has a mean of 17 and a standard deviation of 5.3, rounded to the nearest tenth.

{10, 12, 16, 18, 20, 26}

How many of these data points have a z-score greater than 0.1?

• 3

• 2

• 1

• None

Find the Z-score.

Mean = 27

Standard Deviation: 1.4

x = 11

• -11.43

• 7.85

• -2.33

• 4.16

The heights of 150 people at Shake Shack are normally distributed with a mean of 64 inches and a standard deviation of 1.3 inches. Approximately how many diners have a height between 60 and 65 inches?

• 110

• 116

• 120

• 126

Tags

CCSS.HSF-LE.A.1B