Mean, Median, Mode

Mean, Median, Mode

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Reading Data

• Looking at the data, how many people like action movies?

• How many Liked Drama?

Multiple Choice

What is the most popular fruit?

• Blueberry

• banana

• apple

• kiwi

Multiple Choice

What is the Least popular Fruit?

• Banana

• Kiwi

• Grapes

• Blueberry

How to read a frequency table

• The following data represents points scored by players of a basketball team.

• Find the total points scored in the game

• 6+6+7+7+7+8+8+8+8+8+8+8+9+9+9+9+9+9+9+10

• 162

Multiple Choice

What is the amount of points scored in the game?

• 166

• 121

• 149

• 172

Central Tendency

• today we want to describe central tendency of data

• measures of central tendency include the mean, the median, and the mode.

Mean

• The mean is the average of a data set.

• To find the mean we add all the values of a data set together, the divide by the number of entries.

Mean Example 1

• The following numbers represent the amount of hours Isaac has spent on homework over the last week. Find the average.

• 3,8,4,6,5,4

Multiple Choice

Find the average of the data set:

2,4,4,2,6,7,8,5

• 6.86

• 5.26

• 4.75

• 5

Median

• The Median is the middle value when the values are in NUMERICAL ORDER. (We can not find median if the numbers are not in numerical order.

Median Example 1

• Find the median for the data 4,4,3,2,2,2,8,7,9

• Make sure your list is in numerical order

• 2,2,2,3,4,4,7,8,9

• the median is 4

Median with even numbers

• imagine our data set has an even amount of numbers

• 4,4,5,8,9,10

• there is no middle number, but that does not mean there is no median

• the median of the data set is 6.5

Multiple Choice

Find the median of the data

3,8,4,6,5,4

• 5

• 3.5

• 5.5

• 14

Multiple Choice

Find the median of the data

2,2,3,4,5,5,6,

• 1

• 2

• 3

• 4

MODE AND RANGE

• the mode of a data set is the number that appears the most. If no number appears more than once, there is no mode.

• The range is the biggest number minus the smallest number of your data set.

Multiple Choice

What is the mode for the data 3,4,4,5,6,8

• 1

• 2

• 4

• no mode

Multiple Choice

What is the range for the data set 3,4,4,5,6,8

• 4

• 5

• 3

• 6

Outliers

• an outlier is a value that is very different from the others in a data set

• 10,20,30,40,50,60

• 1,2,3,4,5,6,7,25

Outliers will change the average of a data set

• 70,74,72,71,73,96

• Now lets find the average without the outlier