Standard Deviation from Expected Values

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.

Sam has 20 rose bushes. The mean number of blooms on the rose bushes is 7 with a standard deviation of 2. Which of the following statements is most true.

• Sam could expect his rose bushes to have 2 blooms each.

• Sam could expect all of his rose bushes to have 7 blooms.

• Sam could expect most of his rose bushes to have between 0 and 7 blooms.

• Sam could expect most of his rose bushes to have between 5 and 9 blooms.

Jessie is comparing the prices of meals at two different restaurants. She makes a dot plot for each of the restaurants showing the cost for each meal on the dinner menu. Which restaurant's data set would have a smaller standard deviation?

• Restaurant A

• Restaurant B

• The variance is about the same.

The greater the variability (spread) of the distribution, the _____________ the deviations from the mean.

• smaller

• closer

• greater

• more approximate

The table above shows the number of cell phones per household in a small town. Find the standard deviation. Round to the nearest hundredth.

• 0.80

• 1.70

• 1.30

• 1.00

It is a number which describes the spread of the distribution.

(a)  

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the standard deviation. Round to the nearest hundredth.

• 35.76

• 268.1

• 16.3

• 1279.35

What does σ represent?

• sample standard deviation

• population/distribution standard deviation

• sample mean

• population/distribution mean

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.

Which histogram would have a larger standard deviation?

• Histogram A

• Histogram C

• They are about the same.