Mean Median Mode Iqr Outliers

A bowler had the following scores after 5 games:
 196, 205, 197, 280, and 202.
How much does the bowler’s mean score increase if the outlier is considered, compared to if the outlier is not considered?

• 13

• 16

• 19

• 22

Jacob recorded the ages of the people at a picnic. The data set is listed below.
12, 12, 14, 15, 16, 20, 24, 28, 32, 35, 36
What effect does the arrival of Jacob’s 72-year old grandfather have on the difference between the mean and the median ages of people at the picnic?

• The difference increases by about 2.1.

• The difference increases by about 3.3

• The difference increases by about 4.1

• The difference increases by about 4.3

The prices at several different stores for a pair of shoes are shown below.
$78, $79, $81, $82, $83
Two days later, another store has the same shoes on sale for $65. How does the new price affect the data?

• Only the range was affected.

• The median increased, and the range increased.

• The mean increased, and the range increased.

• The mean decreased and the range increased.

The cost to purchase different smart watches at a store are below:

200,300,250,200,300,200,250

If a new fancy smart watch that costs $500 is introduced, which of the following would remain unchanged? Select all that apply.

• Mean

• Median

• Mode

• Range

The hourly salaries of the workers at a restaurant are shown below.
$7.75, $8.50, $7.25, $9.00, $30.00, $8.25, $7.75, $9.00
Which statement is true?

• The worker who earns $7.25 an hour causes the mean to be a better representation of the typical salary than the median.

• The worker who earns $7.25 an hour causes the median to be  a better representation of typical salary than the mean.

• The worker who earns $30.00 an hour causes the mean to be a better representation of the typical salary than the median.

• The worker who earns $30.00 an hour causes the median to be a better representation of the typical salary than the mean.

A data set contains only one outlier. Which statistical measure will most likely remain the same if the outlier is removed?

• Mean

• Mode

• Range

• Standard deviation

What is the Mean WITH THE OUTLIER? (List one decimal!)

The data set below has an outlier of 42. What effect does removing the outlier have on the distribution of the data?

• The mean will decrease if the outlier was removed.

• The median will decrease if the outlier was removed.

• The standard deviation will increase if the outlier was removed.

• The IQR will increase if the outlier was removed.

The third quartile minus the first quartile

• Standard Deviation

• Outlier

• Interquartile Range IQR

If 20 is added to the data set below, which statement will be true?
50, 55, 55, 60, 62

• The median will be 20

• The mode will increase

• The mean will increase

• The mean will decrease