Best Measure of Center and Variability and Data Distribution

The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?

• The mean will decrease

• The median will decrease

• The mean will increase

• The median will increase

Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4

• 9

• 5

• 3

• 7

Find the median:
5, 6, 3, 9, 0, 4, 1, 2, 7

• 4

• 4.1

• 5

• 4.5

Which measure of center best represents this set of data?
12, 13, 11, 16, 31, 14, 10, 15

• Mean

• median

• mode

The best description of the data is ​ (a)   . ​ ​ The most appropriate measure of center is the​ (b)   . The most appropriate measure of variability is the ​ (c)   .

• range

• mean

• IQR

• median

• skewed right

• symmetric

• symmetric with an outlier

• skewed left

The best description of the data is ​ (a)   . ​ ​ The most appropriate measure of center is the​ (b)   . The most appropriate measure of variability is the ​ (c)   .

​

• range

• mean

• IQR

• median

• skewed right

• symmetric

• symmetric with an outlier

• skewed left

The best description of the data is ​ ​ (a)   . ​ ​ The most appropriate measure of center is the​ ​ (b)   . The most appropriate measure of variability is the ​ ​ (c)   .

​

• range

• mean

• skewed left

• median

• IQR

• skewed right

• symmetric

• symmetric with an outlier

The best description of the data is ​ ​ (a)   . ​ ​ The most appropriate measure of center is the​ ​ (b)   . The most appropriate measure of variability is the ​ ​ (c)   .

• range

• mean

• skewed left

• median

• IQR

• skewed right

• symmetric

• symmetric with an outlier

What measure of center is best to use when we have outliers?

• mean

• median

• mode

• range

The Table above shows the points scored by the JV basketball team in their first seven games. Calculate the mean, median, mode and range. Which statistical measure makes the team sound the best?

• Mean

• Median

• Mode

• Range