Intro to Statistical Questions and Measures of Center and Spread

Intro to Statistical Questions and Measures of Center and Spread

By Lynn Rohlfing

​Be ready to take notes during the lesson.

​If a question is STATISTICAL, you will expect VARIABILITY in the answers.

VARIABILITY MEANS MANY DIFFERENT ANSWERS.

Multiple Choice

Is the following question statistical or non statistical?
How many cars are in the parking lot?

• Statsitical

• Non Statistical

Multiple Choice

Is the following question statistical or non statistical?

How many brothers and sisters does each 6th grader have?

• Statistical

• Non Statistical

Multiple Choice

Which is NOT a statistical question?

• What are the 3 most popular car colors in the United States?

• How many pencils does Sally have?

• What percentage of the people in Guyton allow their pets on the furniture?

• What percentage of teachers at ECMS are younger than 30?

​Add all the numbers. Divide by how many there are.

​2, 3, 4, 9

​Add, then divide:

2 + 3 + 4 + 9 = 18

Divide by 4 = 4.5​

​MEAN

Multiple Choice

To find the MEAN, add all the data, then divide by the number of data.

Find the MEAN: 4, 7, 8, 1

• 5

• 6

• 6.5

• 3

Multiple Choice

To find the MEAN, add all the data, then divide by the number of data.

Find the MEAN: 10, 8, 3, 11, 9

• 41

• 8.2

• 7.9

• 8

Multiple Choice

What is the mean?

9, 9, 18

• 9

• 18

• 36

• 12

​Put the numbers in order. Find the MIDDLE.

​3, 7, 2, 6, 5

​Put in order: 2, 3, 5, 6, 7

Find the middle: 5​

​The median is the middle of the highway.

Multiple Choice

The MEDIAN is the number in the MIDDLE when the data is in ORDER. What is the MEDIAN:

8, 0, 4, 0, 3, 2, 8

• 0

• 2

• 3

• 4

• 8

Multiple Choice

What is the median?

• The number in the middle when the numbers are listed from least to greatest

• The difference between the highest and lowest values

• The number that occurs the most

• The average

Multiple Choice

2, 4, 5, 7, 7

What is the median?

• 2

• 4

• 5

• 7

Multiple Choice

Find the Median:

67, 74, 95, 98, 98, 99, 102

• 102

• 67

• 98

• 90.4

The number that appears the MOST often.

​3, 7, 9, 9, 5, 3, 3, 6, 3

​Find the most often appearing number.

​

MODE: 3​

Multiple Choice

What is the mode?

• Number that occurs the most

• The Average

• The difference between the highest and lowest values

• The Number in the middle

Multiple Choice

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.

12, 10, 10, 10, 13, 12,11,10

• 13

• 12

• 11

• 10

Multiple Choice

1, 2, 2, 3, 7

What is the mode?

• 1

• 2

• 3

• 7

​Mean, Median, Mode are ALL measures of CENTER.

Multiple Choice

Which IS NOT a measure of center?

• mean

• meter

• mode

• median

Multiple Choice

Which is NOT a measure of center?

• Mode

• Median

• Range

• Mean

​Subtract the least number from the greatest number.

​Range: 6 - 3 = 3

Multiple Choice

The RANGE is the

GREATEST number - LEAST number. What is the range?

6, 2, 9, 9, 7, 6, 2, 5

• 2

• 11

• 7

• 9

Multiple Choice

The RANGE is the

GREATEST number - LEAST number. What is the range?

8, 4, 12, 1, 9, 4, 2

• 11

• 5

• 12

• 1

Multiple Choice

Lizzy had test scores of:   72, 94, 108, 60
What is the RANGE of her test scores?

• 12
• 72
• 48
• 98

​Range is a measure of SPREAD or VARIABILITY.

​We will learn this with box plots.

Multiple Choice

Which is a measure of spread?

• mean

• mode

• range

• median

Multiple Choice

Which statement is true about the data:

5, 4, 4, 8, 2

• The mean is 4; the mode is 4

• The mean is 4; the mode is 4.6

• The mean is 4.6; the mode is 4

• The mean is 23; the mode is 4

Multiple Choice

Which statement is TRUE about the data:

4, 6, 1, 0, 8, 1, 1

• The MEAN is 3; the MEDIAN is 0

• The MEAN is 21; the MODE is 1

• The MODE is 1; The RANGE is 8

• The MODE is 0; the RANGE is 0

Poll

How do you feel about what you learned?

• I got this!

• I need more practice.

• Nope. I do not understand at all.