Measures of Central Tendency and Variation Review

• Mean

• Median

• Range

• They will all change by the same amount

A survey was taken of the value of homes in a county, and it was found that the mean home value was $165,000 and the median home value was $125,000. Which of the following situations could explain the difference between the mean and the median home values in the county?

• The homes have values that are close to each other

• There are a few homes that are valued much less than the rest

• There are a few homes that are valued much more than the rest

• Many homes have values between $125,000 and $165,000

The Grant basketball team had an average (mean) score of 71 points for its first 5 games of the season. What was the total number of points they had scored?

• 355

• 365

• 375

• 385

• 425

An alchemist averaged using 88 ingredients in her first 5 potions and 96 ingredients in the next 3. What was her average number of ingredients?

• 88

• 90

• 91

• 92

• 94

Match the following vocabulary with the definitions

• Median

• the most frequently occurring value(s)

• Mode

• the difference between the largest and smallest values in a data set

• Range

• the middle value, when the data is ordered from least to greatest

• Measures of Central Tendency

• a value that describes the center or middle of a data set

• Mean

• the average of values, sum of all values divided by how many values

The table lists five counties with the largest area in Texas. Which measure of center/variation best represents the average size of these counties?

• mean

• IQR

• mode

• range

Which set of data has a range with the greatest variation?

• 41, 32, 29, 35, 24

• 27, 37, 42, 31, 49

• 13, 25, 46, 17, 30

• 17, 21, 30, 15, 29

What is the median of the following numbers? 1, 2, 2, 8, 9, 20

• 7

• Median

• 20

• Outlier

• 2

• Range

• 5

• Mode

• 19

• Mean

What is the MEDIAN of this data

Mathematical Equivalence

ON

The frequency table shows the gas mileages of several vehicles. The data would be ​ (a)   so the best measure of center would be the ​ (b)   and the best measure of variation would be the ​ (c)   ​ ​

• Skewed Right

• median

• Interquartile Range

• Skewed Left

• Symmetrical

• Mean

• Mean Absolute Deviation