Measures of Central Tendency and Outliers

The video tutorial covers the measures of central tendencies: mean, median, and mode, along with range and outliers. It explains how to calculate each measure using a data set and discusses the impact of outliers on these measures. The tutorial includes practice problems to reinforce learning.

What are the three measures of central tendency?

• Mode, Range, Outlier

• Median, Mode, Range

• Mean, Median, Mode

• Mean, Range, Outlier

How do you calculate the mean of a data set?

• Identify the number that appears most frequently

• Subtract the smallest number from the largest

• Find the middle number in the ordered data set

• Add all numbers and divide by the number of data points

What is the median of the data set 1, 2, 3, 4, 5, 7, 7?

• 7

• 5

• 4

• 3

Which number is the mode in the data set 1, 2, 3, 4, 5, 7, 7?

• 1

• 3

• 7

• 5

How is the range of a data set determined?

• By finding the middle number in the ordered data set

• By identifying the most frequent number

• By finding the average of the data set

• By subtracting the smallest number from the largest

What is an outlier in a data set?

• A number that appears most frequently

• A number that is in the middle of the data set

• A number that is the average of the data set

• A number that is much smaller or larger than the rest

How does an outlier affect the mean of a data set?

• It only decreases the mean

• It only increases the mean

• It can increase or decrease the mean

• It has no effect

In the practice problem, what was the outlier in the data set 12, 14, 10, 10, 12, 3?

• 10

• 3

• 14

• 12

What was the effect of removing the outlier on the median in the practice problem?

• The median decreased

• The median became zero

• The median increased

• The median stayed the same

In the practice problem, what was the mode of the data set with and without the outlier?

• 10 and 12

• Only 10

• Only 12

• No mode