4/21 Outliers

When using IQR to find outliers, which formula will identify the lower limit?

• Q3 - 1.5(IQR)

• Q1 + 1.5(IQR)

• Q1 - 1.5(IQR)

• Q3 + 1.5(IQR)

The salaries of the employees in a company are listed below:

$28,000 $45,000

$31,000 $42,000

$55,000 $72,000

$88,000 $53,000

If $88,000 was found to be an outlier, which salary would be the new maximum?

• $55,000

• $28,000

• $88,000

• $72,000

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

Using the information below, identify which of the following is NOT an outlier:
Q1 = 53
Q2 = 55
Q3=61

• 73
• 40
• 80
• 73.5

Using the information below, identify which of the following is an outlier:
Q1 = 3
Q2 = 7
Q3 = 12

• 22
• 25.5
• -8.5
• 26

Use the 1.5 IQR rule to determine if there are any outliers for the following numbers:
84, 88, 72, 74, 98, 16, 94 

• Yes, 16 is an outlier.
• Yes, 33 is an outlier.
• Yes, 98 is an outlier.
• There are no numbers less than 39 or greater than 124, therefore there are no outliers.

If my data set had an outlier that was quite a bit more than the other numbers in my data set, what would it do to my average

• leave it the same
• increase the average
• decrease the average

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 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, what would happen to the mean?

• It would increase.

• It would decrease.

• It would stay the same.

• It would become negative in proportion to the acceleration schematic.