One-Variable Statistics

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.

The set of nine data points is provided.

Which statement is true if a tenth data point of 45 is added?

{ 8,11,12,10,9,7,5,3,9}

• The mean and median will both increase.

• The mean will increase and the median will decrease.

• The mean will increase and the median will remain the same.

• The mean and median will both decrease

Which would be the most appropriate measure of center?

• Mean

• Median

• You can not determine with the information provided

Which would be the most appropriate measure of variability?

• Standard Deviation

• IQR

• Can not be determined with the information provided

Select the correct statement

• The mean is less than the median

• The mean is larger than the median

• The mean and the median are the same

• There is not enough information to compare the mean and median.

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

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

Find the mean of the data:
17, 27, 26, 2, 1, 21, 13, 16, 19, 5, 7

• 10.5

• 21

• 14

• 6

This data is normally distributed.  What percent of the data is in the shaded region?

• 68%

• 95%

• 99.7%

• 50%

Find the median of these numbers:
4, 2, 7, 4, 3

• 2

• 5

• 7

• 4