Measurement of Central Tendency and Dispersion

Below is a table of the points Jeff scored in his basketball games.

State which of these measures of central tendency best represents Jeff’s points scored. Justify your answer.

• mean

• median

• mode

Which measure is the same in both classes?

• Median

• Lower Quartile

• Range

• Interquartile Range

What is the mean of the following set of numbers: 8, 12, 15, 10, 5?

• 10

• 12

• 8

• 15

Find the median of this dataset: 3, 7, 9, 6, 12.

• 6

• 7

• 9

• 12

Which number is the mode of the following set: 2, 3, 4, 4, 5, 6?

• 2

• 3

• 4

• 5

If a dataset contains the numbers 100, 200, 300, 400, and 5000, which measure of central tendency is most affected by the outlier?

• Mean

• Median

• Mode

• All of the above

What does the average (mean) represent in a dataset?

• The middle value of the dataset

• The most frequently occurring value

• The sum of all values divided by the number of values

• The difference between the highest and lowest values

Which of the following statements is true when comparing mean, median, and mode?

• The mean is always larger than the median.

• The mode is the only measure that can have more than one value for the same dataset.

• The median is affected by extreme values in the dataset.

• All measures are equal for any symmetric dataset.

In a dataset, if the mean is significantly higher than the median, what can be inferred?

• The dataset is symmetric.

• There are outliers on the lower end.

• There are outliers on the higher end.

• The dataset is uniformly distributed.

How would you use the mean to estimate a typical salary in a company if the CEO's salary is much higher than everyone else's?

• Include the CEO's salary as it will provide a better estimate.

• Exclude the CEO's salary to avoid skewing the mean.

• Use the mode instead of the mean.

• Use the median instead of the mean.