Exploring Changes in Mean, Median, Mode, & Range

The video tutorial covers the concepts of mean, median, mode, and range, focusing on how changes in data affect these measures. It includes examples of calculating each measure, discusses the impact of adding or replacing numbers in a data set, and provides exercises for finding missing numbers to achieve a specific mean. The tutorial aims to enhance understanding of how data manipulation influences statistical outcomes.

What is the rounded mean of the data set if the sum is 29.1 and there are 7 numbers?

• 4.1

• 4.2

• 4.0

• 4.3

Which number is the median of the ordered set 2, 2, 2, 3, 4, 5, 6, 7, 7, 7, 8, 8, 9?

• 6

• 7

• 5

• 4

In a data set, if the number 7 appears most frequently, what is the mode?

• 8

• 7

• 6

• 2

How does the median change if the number 90 is replaced by 37 in a data set?

• No change

• Doubles

• Decreases

• Increases

What is the new mean when the number 18 is added to a data set with an original mean of 54?

• 50

• 52

• 54

• 56

If the mode of a data set is 7 and one of the 7s is replaced with 9, what is the new mode?

• 8

• 6

• 9

• 7

What happens to the mode of a data set if the number 28 is added and the original mode was 45?

• No change

• Increases

• Becomes undefined

• Decreases

If the mean of a data set is 12 and the numbers are 9, 13, 13, what must the fourth number be?

• 12

• 11

• 14

• 13

How does the median change if the number 4 is added to a data set with an original median of 4?

• Becomes undefined

• No change

• Decreases

• Increases

What is the new mean if the number 93 replaces the number 77 in a data set, changing the mean from 57 to 59?

• 57

• 58

• 59

• 60