Comparing Spread Using Standard Deviation

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.

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 following data are the ages of children in child care at the local community center. Find the standard deviation. (Use a table or the desmos calculator.)

1, 2, 2, 4, 6

• 2

• 3

• 4

• 5

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.

Both batters have the same average distance. Which one has a greater standard deviation?

• Batter A

• Batter B

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

• smaller

• closer

• greater

• more approximate

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 uniform 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.

The larger the standard deviation, the more the spread out the data is.

• TRUE

• FALSE