AP Stats - Chapter 2 Test (A)

Suppose that the distance a golfer can hit the ball has an approximately normal distribution with a mean of 250 yards and a standard deviation of 10 yards.

The middle 95% of his hits will travel between what two distances?

• 240 and 260 yards

• 230 and 270 yards

• 190 and 310 yards

• 0 and 500 yards

• 250 and 280 yards

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CCSS.HSS.ID.A.4

Suppose that the distance a golfer can hit the ball has an approximately normal distribution with a mean of 250 yards and a standard deviation of 10 yards.

What proportion of his hits will travel between 215 and 255 yards?

• 0.3088

• 0.65

• 0.6912

• 0.7641

• 0.95

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CCSS.HSS.ID.A.4

Suppose that the distance a golfer can hit the ball has an approximately normal distribution with a mean of 250 yards and a standard deviation of 10 yards.

The highest 20% of his hits will travel at least what distance?

• 241 yards

• 249 yards

• 258 yards

• 262 yards

• 265 yards

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CCSS.HSS.ID.A.4

What is the approximate standard deviation of the following Normal distribution?

• 1

• 3

• 7

• 9

• 10

The number of absences during the fall semester was recorded for each student in a large elementary school. This distribution of absences is displayed in the following cumulative relative frequency graph.

The distance between the median and the third quartile is about how many absences?

• 0

• 2

• 3

• 5

• 14

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CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

The number of absences during the fall semester was recorded for each student in a large elementary school. This distribution of absences is displayed in the following cumulative relative frequency graph.

About what proportion of students were absent between 4 and 8 days?

• .09

• .13

• .27

• .64

• .90

A species of cockroach has weights that follow a Normal distribution with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 58 grams. Based on this report, what is the approximate standard deviation of weights for this species of cockroaches?

• 7.4

• 8.0

• 9.3

• 57.1

• Cannot be determined

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CCSS.HSS.ID.A.4

The dotplot to the right shows the number of home runs for a random sample of 50 baseball players in the 2014 season. The mean of this distribution is 3.32 homeruns and  $\sigma=5.89$  homeruns.

Canyon del Oro alumni Ian Kinsler is represented by the dot at 13 homeruns.  At what percentile is Kinsler?

• 8th percentile

• 26th percentile

• 50th percentile

• 74th percentile 

• 92nd percentile

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CCSS.6.SP.B.5C

The dotplot to the right shows the number of home runs for a random sample of 50 baseball players in the 2014 season. The mean of this distribution is 3.32 homeruns and  $\sigma=5.89$  homeruns.

If each of these 50 values was standardized, what would be the best description of the resulting distribution of standardized scores.

• Exactly Normal with mean = 0 and SD = 1

• Approximately Normal with mean = 0 and SD = 1

• Approximately Normal with mean = 3.32 and SD = 5.89

• Skewed right with mean = 0 and SD = 1

• Skewed right with mean = 3.32 and SD = 5.89

In a standard Normal distribution, what proportion of the values are less than 0.54?

• 0.2946

• 0.7054

• 0.0778

• 0.9222

• This cannot be determined without the mean and standard deviation.

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