Lesson 6.2: Draw Inferences from Data

​Lesson 6.2

Draw Inferences from Data​

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Definitions:

Inference: A conclusion or assumption made after observing data.

​Valid Inference: An inference that is likely to be true or is supported by the data.

​Mean: The mean is the average of all the data points. It is found by adding up all of the numbers and dividing by the amount of numbers you have.

Ex: Find the mean of 1, 3, 3, 5​

Subject | Subject

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Definitions:

Median: The middle point in all of your data points. To find the median, line your numbers up from least to greatest and pick the number in the middle.

Ex: 10, 12, 5, 4, 7

​Mode: The number that appears most often in your set.

Ex: 1, 2, 3, 4, 4

Range: The amount of numbers in between your maximum and minimum data points. To find the range subtract your smallest number from your biggest number.

Ex: 9, 10, 20, 25, 30, 35​

Subject | Subject

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Definition:

Measures of Center: The mean, median and mode make up the measures of center. They are used to make inferences about data.

Measures of Variation: The range and inter quartile range make up the measures of variability. They are used to determine how much variation there is in a data set.​

Subject | Subject

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​Dot Plot

​A dot plot is just another way to list data. Each dot represents a person and each "spot" on the axis represents a number. For example, 2 people eat breakfast for 1 minute based on this chart.

Multiple Choice

How many people in the sample have a value of 6?

• 1

• 2

• 3

• 4

​Box and Whisker

​Box and Whisker plots allow us to look at the measures of center and the measures of variation in a data set. The median and IQR are the most important features.

Multiple Choice

Which company had a higher median?

• Company A

• Company B

• Company C

• They are all the same

​Example:

​Example: There are 500 people at the school. Based on Alicia's and Thea's story, how many T-Shirts should be bought?

Multiple Choice

You take a survey and find out that 10 out of 50 students want a change to the lunch menu. If you are at a school of 500 people, how many do you expect to want to change the lunch menu?

• 10

• 50

• 100

• 500

Multiple Choice

You take a survey of 20 students and 12 say they have a pet. If you have a population of 100 people, how many do you expect to have a pet?

• 12

• 20

• 60

• 100

​You conduct a survey asking students how many siblings they have, the results are recorded below. Find the mean, media, mode and range of the set.

​1 sibling: 4

2 siblings: 5

3 siblings: 3

4 siblings: 0

5 siblings: 1​

Multiple Choice

What is the mean of the data set?

1, 2, 3, 4, 5

• 15

• 5

• 3

• 1

Multiple Choice

What is the median of the data set:

20, 5, 3, 12, 9

• 3

• 5

• 9

• 12

​Conclusion: Write two complete sentences about what you learned.