Interpreting Standard Deviation

The standard deviation of test scores on the Chapter 1 test in Algebra I last year was 8. The standard deviation of 8 means:

• All scores on the Chapter 1 test in Algebra I were within 8 points of the median on the Chapter 1 test.

• All scores on the Chapter 1 test in Algebra I were within 8 points of the mean on the Chapter 1 test.

• The typical score on the Chapter 1 test in Algebra I was within 8 points of the mean on the Chapter 1 test

• The typical score on the Chapter 1 test in Algebra I was within 8 points of the median on the Chapter 1 test

• The range of scores on the Chapter 1 test in Algebra I was 8

Teachers at Chardon HS live throughout Northeast Ohio. There is quite a bit of variability in how far they drive. The standard deviation is 13 minutes. Which of the following is the best interpretation of the standard deviation?

• The length of time a teacher at Chardon HS typically spends driving to school varies 13 mintues from the mean drive time.

• Time typically varies by 13 minutes

• The time it takes teachers to drive to Chardon HS varies by 13 minutes

• The length of time a teacher at Chardon HS typically spends driving to school varies 13 mintues from the median drive time.

• The length of time teachers spend driving to school typically varies by 13 minutes.

The standard deviation is the amount a typical observation varies from the

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

• +2.00

• -2.00

• +1.25

• -1.00

List each set of data by color from the lowest standard deviation to the highest standard deviation.

• blue, green, pink, red

• red, pink, green, blue

• pink, green, red, blue

• blue, green, red, pink

What is the standard deviation on this Normal Curve?

• 6

• 12

• 34

• 18

What does standard deviation represent?

• How many different variations are in the data set.

• How the population varies compared to the sample.

• How spread out each data value is from the mean.

• The range, but with a bunch of other stuff going on.

Find the z-scores value corresponding if the location is above the mean by 1/2 standard deviations

• -0.50

• +1.00

• +0.50

• -1.00

• 99.04%

• 0.96%

• 98.93%

• 97.68%

Jar candle, mean = 25 hours, standard deviation = 2.5 Pillar candle, mean = 95 hours, standard deviation = 7.5 Fezzik has one of each type of candle. He knows his candles each have a z-score of 1.5. How long will each candle burn?

• Jar candle 25 hours, Pillar candle 95

• Jar candle 28.75 hours, Pillar candle 106.25

• Jar candle 27.5 hours, Pillar candle 102.5