Expected Values and Standard Deviation

A data set with a small standard deviation would have data values that are _____________________________________.

• clustered closely around the mean.

• spread out from the mean.

• very high in value.

• spread out from one another.

A mound shaped graph would have a __________ standard deviation.

• small

• large

• different

• mean

Which histogram would have a larger standard deviation?

• Histogram A

• Histogram C

• They are about the same.

Standard deviation describes what characteristic of a set of data?

• The number of data values.

• The expected data value.

• The spread of the data values from the mean.

• The range of the data values.

A uniform graph would have a __________ standard deviation.

• small

• large

• different

• mean

A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What percentage ratings can be expected to be between 200 and 275?

• 43.31%

• 56.71%

• 38.61%

• 29.87%

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what values should border the middle 50% of the model?

• 44 and 52 inches

• 42 and 54 inches

• 40 and 50 inches

• 40 and 60 inches

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what percent of snow fall amounts will be between 40 and 50?

• 53.93%

• 46.07%

• 37.19%

• 72.34%

In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 17.5% .

• 69.98 in

• 71.18 in

• 72.40 in

• 73.01 in

Suppose the amount of soda in a can is normally distributed; the mean is 16 oz and standard deviation is 0.4 oz. How much soda is in the heaviest 3% of cans?