Comparing Data Sets

Which measure of central tendency would be most appropriate to use when there is an outlier in the data set?

• Mean

• Median

• Standard Deviation

• Range

A retail store recorded the following number of sales over the last four weeks: 30, 45, 60, 90. What is the mean number of sales per week?

• a. 55

• b. 56.25

• c. 57.5

• d. 60

The data set for the test scores is as follows: 85, 90, 95, 100, 100. What is the median score?

• 90

• 100

• 85

• 95

When comparing two data sets, what does a smaller standard deviation indicate?

• The data is skewed to the left.

• The data points are closer to the mean.

• The data points are further from the mean.

• The data is normally distributed.

Data set A has a range of 15, while data set B has a range of 25. What can we infer about the variability of these two data sets?

• Data set A is more spread out than data set B.

• Both data sets have the same spread.

• Neither data set has any variability.

• Data set B is more spread out than data set A.

• 5, 6, 7, 8, 9

• Both data sets have the same mean.

• 5, 5, 7, 9, 15

• Neither data set has a mean.

Consider two data sets, where Data Set X: 8, 12, 14, 10 and Data Set Y: 8, 8, 14, 20. Which data set has a higher median?

• Data Set X

• Data Set Y

• Both have the same median

• Cannot be determined

What can be deduced if two data sets have the same median but different ranges?

• The data sets are identical.

• The data sets have the same variability.

• The mean of the data sets is the same.

• The data sets have different spread.

Which of the following describes a situation where it would be better to use the median instead of the mean?

• When the data set is symmetrical.

• When there is no mode.

• When data points are all positive.

• When there is a significant outlier.

A data set consists of the values 4, 4, 6, 8, 10. If a value of 20 is added to the data set, which measure of central tendency will be most affected?

• Median

• Mean

• Mode

• Range