Standard Deviation Practice Variability

The middle half of the data for Red brick Grill has less variability than the middle half of the data from Sophie's cafe.

• True

• False. The middle half of the data for Red brick Grill has Greater variability than the middle half of the data from Sophie's cafe.

• False. The middle half of the data for Red brick Grill has the same variability as the middle half of the data from Sophie's cafe.

• This can not be determined from the box plots provided.

The Blue histogram has a lower variability than the purple histogram

• False. The Blue is greater

• False. They are the same

• True

• This can not be determined from the histograms provided.

The standard deviation of the blue histogram is greater than the standard deviation of the purple histogram.

• False. The standard deviation of the blue histogram is less than the standard deviation of the purple histogram.

• False. The standard deviation of the blue histogram is the same as the standard deviation of the purple histogram.

• True

• This can not be determined given the histograms provided.

During a math class, Lily, Anika, and Liam each measured the variability in test scores for different classes. Which standard deviation would show the most variability?

• .5

• 1

• 1.5

• 2

If we use the mean to measure the typical value or center of the data, we would use the _________ to measure the variability.

• IQR

• Median

• Mean

• Standard Deviation

The ages of the employees at Company A tend to be closer together, than those at Company B.

• True

• False

If a bowler needs to hit exactly 6 pins, which bowler is more reliable to hit that number?

• Bowler A

• Bowler B

• Both

• Neither

Each histogram has the same mean value. Which histogram would depict a greater standard deviation?

• 
• 
• You can not determine with the information provided.

Four data sets are shown below.

Set 1: {10, 19, 38, 50, 51}

Set 2: {5, 21, 26, 39, 51}

Set 3: {9, 38, 50, 50, 51}

Set 4: {5, 28, 28, 28, 51}

Which data set has the largest standard deviation? (Use Desmos if needed)

• Set 1

• Set 2

• Set 3

• Set 4

Which of the following is a measure of spread, or variability?

(select all that apply)

• Interquartile Range

• Standard Deviation

• Mean

• Median

• MAD