Statistics and Outliers

Which three statements are true about this line plot?

• The distribution is symmetric.

• The distribution is skewed.

• The mean should be used to describe the center of the data distribution.

• The median should be used to describe the center of the data distribution.

• The spread of the data is 6.

Which statement about the number of pets in each household is true?

• More than half the households have more than 3 pets.

• The IQR is 2.

• The household with 6 pets is an outlier for the set of data.

• The range of the data collected is 14.

Which statement best describes the shape of the data distributions?

• Graph 1 is skewed and Graph 2 is symmetrical.

• Graph 1 is symmetrical and Graph 2 is skewed.

• Graph 1 and Graph 2 are both symmetrical.

• Graph 1 and Graph 2 are both skewed.

Which statement about the data in the histogram is true?

• The distribution of the data is symmetrical, so the peak is not in the middle of the data.

• The distribution of the data is symmetrical, so the peak is in the middle of the data.

• The distribution of the data is skewed, so the peak is not in the middle of the data.

• The distribution of the data is skewed, so the peak is in the middle of the data.

Which statement about the data in the histogram is true?

• The distribution of the data is symmetrical, so the mean and the median are most likely the same value.

• The distribution of the data is symmetrical, so the mean and the median are most likely different values.

• The distribution of the data is skewed, so the mean and the median are most likely the same value.

• The distribution of the data is skewed, so the mean and the median are most likely different values.

When the mean and the median are the same or almost the same value, the distribution is said to be symmetric.

• True

• False

Use the data set 2,3,3,4,5,7,8,8,8,10,10,12. Find the median of the data.

• 7.5

• 8

• No median

Use the data set 2,3,3,4,5,7,8,8,8,10,10,12.

Find the mode of the data.

• 7.5

• 8

• No mode

Find the range of the data.

• 2

• 5.5

• 10

• 12

Use the data set 2,3,3,4,5,7,8,8,8,10,10,12.

Find the lower and upper quartiles of the data.

• 2, 12

• 4.5, 8

• 3, 10

• 3.5, 9