Days 1-4

​Statistical Review Days 1-4

By Christina Mason

6.SP1 LESSON: Categorical and Numerical Data

Family Feud

I had you watch a clip from Family Feud because in that show they ask a lot of Statistical Questions. All of the questions can have a variety of answers, making it a statistical question.

Multiple Choice

How many siblings do you have?

• Statistical

• Non-statistical

Multiple Choice

How long did it take for each person to get to to school?

• Statistical

• Non-statistical

Multiple Choice

What is your favorite color?

• Statistical

• Non-statistical

Multiple Choice

Choose the statistical question:

• What time did you wake up this morning?

• What time do sixth graders wake up each morning during the school week?

Measures of Center

Let's Review!

Multiple Choice

To get the ______, add up all the numbers in a data set and divide by the amount of numbers in the data set.

• Median

• Mean

• Mode

• Range

Multiple Choice

To get the ________, subtract the smallest number in the data set from the biggest number in the data set.

• Mean

• Median

• Mode

• Range

Multiple Choice

To get the _______, order the numbers in the data set from smallest to biggest and find the middle number in the data set.

• Mean

• Median

• Mode

• Range

Multiple Choice

To get the ________, select the number that occurs the most in a data set aka the most popular number.

• Mean

• Median

• Mode

• Range

Multiple Choice

Find the Mean

• 2

• 3

• 9

• 6

Multiple Choice

Find the Median.

• 70

• 67

• 55

• 65

• 48

Multiple Choice

Find the Mode.

• 70

• 67

• 55

• 65

• No Mode

​11.5 Appropriate Measures

• ​We will determine the Best Measure of Center to use when describing Data.

• We will identify Outliers and their effect on the Measure of Center.

Multiple Choice

What are the Measures of Center?

• Numbers much larger or much smaller than the data set. Numbers that "lie outside" the other values

• Mean, Median and Range

• Mean, Median and Mode

Peak- the highest point of data

Cluster- a group of data together.

Clusters and Peaks

​Outlier

• ​An outlier is a value far from the rest of the data in a set

• ​Removing or adding an outlier will affect the range

• Removing or adding an outlier will not (most of the time) affect the median

• Removing or adding an outlier will affect the mean​

Multiple Choice

What is a peak on a graph.

• The highest point in a cluster.

• No point at all.

• The lowest point.

• All of the Above.

Multiple Choice

What is a Gap?

• A space in between data points

• That clothing company

• Two close together data points

Multiple Choice

What are outliers?

• Q1, Q3, IQR and Range

• Numbers much larger or much smaller than the data set. Numbers that "lie outside" the other values

• Mean, Median and Range

• Mean, Median and Mode

​Sometimes, one measure is more appropriate than others to summarize a data set.

Multiple Choice

What Measure of Center is appropriate when data may have repeated numbers?

• Mean

• Median

• Mode

Multiple Choice

What Measure of Center is appropriate when the data have no extreme values?

• Mean

• Median

• Mode

Multiple Choice

What Measure of Center is appropriate when the data has extreme values but there are no big gaps in the middle of the data?

• Mean

• Median

• Mode

​No Extreme Measures : Mean

​No Extreme Measures but many repeated numbers : Mode

​Extreme Value : Median

​207, 1033, 1231, 1332

Multiple Choice

Which Measure of Center best represents the ages shown?

• Mean

• Median

• Mode

Multiple Choice

What is the Mode?

• 12

• 13

• 14

​To find the Best Measure of Center with an Outlier

• Calculate the Mean with and without the Outlier

• Calculate the Median with and without the Outlier

​

​

The Measure of Center that is LEAST affected by the Outlier is the Best Measure of Center

Multiple Choice

What is the outlier?

• 11

• 13

• 9

• 43

Multiple Choice

What is the mean with the outlier

• 11

• 19

• 33

• 76

Multiple Choice

What is the mean without the outlier?

• 11

• 19

• 33

• 76

Multiple Choice

What is the Median with the outlier?

• 12

• 11

• 33

• 76

Multiple Choice

What is the Median with the outlier?

• 12

• 11

• 33

• 76

Multiple Choice

What is the Best Measure of Center?

• Median

• Mean