7.SP.B.3 Assessing visual overlap of 2 data distributions

Assessing visual overlap of two numerical data distributions with similar variabilities

Standard 7.SP.B.3

Comparing Data Displays and Distributions

Skewed Left or Right

• When a distribution is skewed left the mean is less than the median

• When a distribution is skewed right the mean will be more than the median.

Uniform Distribution

• In a uniform distribution, the data values are spread out equally among the intervals.

• The values are the same or close to the same.

• The data is distributed evenly around the mean and the mean and the median are close to the same.

Bell or Symmetrical Distributions

• Symmetrical distributions of data can also be called normal or bell shaped.

• Since their distribution is fairly normal, the mean and the median will be close to the same.

Multiple Choice

Which of the following best describes the shape of the distribution?

• SKEWED LEFT
• SKEWED RIGHT
• UNIFORM
• SYMMETRICAL

Multiple Choice

Which of the following best describes the shape of the distribution?

• SKEWED LEFT
• SKEWED RIGHT
• UNIFORM
• SYMMETRICAL

Multiple Choice

Which of the following best describes the shape of the distribution?

• SKEWED LEFT
• SKEWED RIGHT
• UNIFORM
• SYMMETRICAL

Multiple Choice

Describe the shape of the distribution.

• symmetric

• skewed left

• skewed right

Multiple Choice

Describe the shape of the distribution.

• symmetric

• skewed left

• skewed right

Match

Match the following histograms to their correct descriptions!

right-skewed

left-skewed and has a gap

symmetrical

right skewed and has a gap

has an outlier

• right-skewed

• left-skewed and has a gap

• symmetrical

• right skewed and has a gap

• has an outlier

Multiple Select

Which of the following are measures of center (central tendency)? Select all that apply.

• Mean

• Median

• Mode

• Range

Multiple Choice

What is the definition of the mean?

• The average
• The middle number
• The difference between the highest and lowest numbers
• The number that occurs the most

Multiple Choice

What is the definition of mode?

• # happening the most

• the average

• the difference between the largest and smallest values in the data set

• the middle #

Multiple Choice

Can there be more than one mode?

• Yes
• No

Multiple Choice

How do you find the median of a data set?

• Add up all the numbers and divide by the number of values in the data set

• Find the middle number of the data

• Order the numbers from least to greatest, then determine the middle number of the data

• Find the difference between the greatest and smallest values in the data set

Multiple Choice

When finding the median, what do you do if there are two middle numbers?

• Add them together and divide by 2
• Write them both as the answer
• Give up
• Pick one

Multiple Choice

What is the definition of the range?

• The average
• The number that occurs the most
• The middle number
• The difference of the largest and smallest numbers

Multiple Choice

Find the mean of the following numbers 40, 38, 46, 38, 51 and 57.

• 45
• 40
• 38
• 35

Multiple Choice

Find the median of the following numbers 40, 38, 46, 38, 51 and 57.

• 42

• 38

• 43

• 46

Multiple Choice

Find the mode of the following numbers 40, 38, 46, 38, 51 and 57.

• no mode

• 51

• 40

• 38

Multiple Choice

Find the range of the following numbers 40, 38, 46, 38, 51 and 57.

• 21

• 19

• 17

• 13

Multiple Choice

What is the mean?

• 7

• 95

• $$6.57$$

• $$6.\overline{3}$$

Multiple Choice

What is the median?

• 7

• 12

• 6

• 2

Multiple Choice

What is the mode?

• 7

• 3

• 6

• 5, 6, 11

Multiple Choice

What is the range?

• 10

• 12

• 15

• 2 - 12

Multiple Choice

Variation of a set of data is determined by...

• The spread of data (more spread out = more variation)

• The mean

• The range

• The mode

Multiple Choice

Which of the following describes the visual overlap of the two data sets?

• There is complete visual overlap.

• There is visual overlap between 598 and 603

• There is no visual overlap.

• There is visual overlap between 598 and 601

Multiple Choice

Which measure might be misleading in describing the average price of sunglasses?

• Mean

• Median

• Mode

• Range

Multiple Choice

The dot plots show the heights of seventh graders in two classes. Which statement is best supported by these data?

• The distributions of the data of both classes are approximately symmetrical

• The median height of the students in Mr. Carter's class is less than the median height of the students in Mrs. Petunia's class

• Mr. Carter's class has a greater range in player heights than Mrs. Petunia's class has

• The mode height of the students in Mr. Carter's class is less than the mode height of students in Mrs. Petunia's class

Explanation Slide...

To find the range you need to subtract the highest value and the lowest value for each class

Multiple Choice

The dot plots show the number of pets students have in two classes. Which statement is best supported by the data?

• The mean of Mrs. Jones' class is higher than the mean of Mr. Carson's class.

• The range of Mr. Carson's class is lower than the range of Mrs. Jones' class.

• The median of Mr. Jones' class is equal to the median of Mr. Carson's class.

• The mode of Mrs. Jones' class is higher than the mode of Mr. Carson's class.

Explanation Slide...

Remember, the median is the middle data point

Multiple Choice

The dot plots show the grades on a test of two different classes. Which statement is best supported by the data?

• The distribution of both sets of data are mostly symmetrical

• The mode of Ms. Henry's class is lower than the mode of Mrs. Clarence's class

• The median of Ms. Henry's class is higher than the median of Mrs. Clarence's class

• Mrs. Clarence's class has a higher range of test scores than Ms. Henry's class

Explanation Slide...

The mode is the option that has the most dots (data points) associated with it

Multiple Choice

The dot plots show the prices for different baits at two different shops. Which statement is best supported by the data?

• The distribution of Grey's Baits is mostly symmetrical

• The mode of Grey's Baits is less than the mode of Bait and Tackle

• The range of Bait and Tackle is less than the range of Grey's Baits

• The median of Bait and Tackle is greater than the median of Grey's Baits

Multiple Choice

The dot plots show the number of video games owned by both boys and girls. Which statement is best supported by the data?

• The mean of video games owned by Boys is less than the mean of video games owned by Girls

• The range of video games owned by Boys is greater than the range of video games owned by Girls

• The mode of video games owned by Boys is greater than the mode of video games owned by Girls

• The median of video games owned by Boys is greater than the median of video games owned by Girls

Multiple Choice

Here are three statements about the height of students in two classes.

I. The median of the two classes is equal

II. The distribution of heights for Mr. Carter's class appears to be symmetrical

III. The mode of Mrs. Petunia's class is less than the mode of Mr. Carter's class

Which of these 3 statements appear to be true?

• I, II, and III

• I and II

• II and III

• III only

Multiple Choice

Here are three statements about the number of pets per household in two different classes.

I. The range of pets in Mrs. Jones' class is less than the range of pets in Mr. Carson's class

II. The mode of pets in Mrs. Jones' class is greater than the mode of pets in Mr. Carson's class

III. The median of pets is equal in both classes

Which of these statements appear to be true?

• I and III

• III only

• I and II

• I, II, and III

Multiple Choice

Here are three statements about the grades scored on a test in two different classes.

I. The distribution in both classes is not symmetrical

II. The mean in Ms. Henry's class is less than the mean in Mrs. Clarence's class.

III. The range in Ms. Henry's class is greater than the range in Mrs. Clarence's class

Which of these three statements appear to be true?

• I and II

• II and III

• III only

• I, II, and III

Multiple Choice

Here are some statements about the price of bait at two different stores.

I. The mode of the two stores is equal

II. The mean of Bait and Tackle is slightly higher than the mean of Grey's Baits

III. The median of both stores is equal

Which of these three statements appear to be true?

• I, II, and III

• I and II

• I and III

• II and III

Multiple Choice

Here are three statements about the number of video games owned by Boys and Girls.

I. The range of video games owned by both Boys and Girls is equal

II. The median of video games Boys own is higher than the median of video games Girls own

III. The distribution of video games owned by girls is symmetrical

Which of the three statements appear to be true?

• II only

• I and II

• II and III

• I, II, and III