Unit 8 Review

Measures of Center

​Mean

Use this Measure of Center when there is NO outliers
(AVERAGE)

​Median

Use this Measure of Center when there are outliers

Multiple Choice

What is another word for AVERAGE?

• Mode

• Median

• Mean

• Not nice

Multiple Choice

Find the median: 1, 0, 10, 7, 13, 2, 9, 15, 0, 3

• 1

• 5

• 10

• 4

Multiple Choice

Find the mean:
3.8, 4.2, 4.0, 4.2, 4.2

• 4.08
• 20.4
• 5.1
• 4.2

Five Number Summary

1. MIN 2. Q1 3. Median 4. Q3 5. MAX

These numbers are used to find the interquartile range, and outliers, and to make a box plot of data.

Multiple Choice

The list below shows the most recent test scores for students in Mr. Garcia’s study group.

78, 90, 94, 72, 80, 68, 72, 88, 94, 98, 86, 96

Which box-and-whisker plot correctly represents the data in the list?

Multiple Choice

The data shows the average price of frozen orange juice at various times.

$1.83, $1.88, $1.83, $1.94, $2.54, $2.50, $2.46, $2.64, $2.73, $2.58

What are the three quartiles of the data?

• Q1 = $1.83, Med = $2.52, Q3 = $2.64

• Q1 = $1.83, Med = $2.48, Q3 = $2.58

• Q1 = $1.88, Med = $2.52, Q3 = $2.64

• Q1 = $1.88, Med = $2.48, Q3 = $2.58

Multiple Choice

What data value is the upper quartile (Q3)?

• 64
• 62
• 66
• 58

Multiple Choice

What is the Q1 of this data set?
6, 7, 2, 1, 5, 2, 1, 6

• 1
• 1.5
• 2
• 2.5

Multiple Choice

What is the Q3 of this data set?
6, 7, 2, 1, 5, 2, 1, 6

• 5
• 6
• 5.5
• 6.5

Outliers

Outliers are values that are way higher or way lower than the rest of the values in a data set.

Calculating Outliers

Upper Outliers

Q3 + 1.5(IQR)

Lower Outliers

Q1 - 1.5(IQR)

Multiple Choice

what is the mathematical definition of outlier ?

• The average of the set of number
• The middle number
• A number that is way to high or way to low that belong in a group of numbers

Multiple Choice

When using IQR to find outliers, which formula will identify the upper limit?

• Q3 - 1.5(IQR)

• Q1 + 1.5(IQR)

• Q1 - 1.5(IQR)

• Q3 + 1.5(IQR)

Multiple Choice

When using IQR to find outliers, which formula will identify the lower limit?

• Q3 - 1.5(IQR)

• Q1 + 1.5(IQR)

• Q1 - 1.5(IQR)

• Q3 + 1.5(IQR)

Multiple Choice

Identify the outlier for the given data?

23, 34, 27, 12, 30, 26, 28, 31, 34

• 12

• 23

• 34

• None

Multiple Choice

Find the outlier of the data set.

15, 20, 18, 35, 17, 35, 13

• None

• 35

• 13

• 15

Multiple Choice

Using the information below, identify which of the following is an outlier:
Q1 = 3
Q2 = 7
Q3 = 12

• 22
• 25.5
• -8.5
• 26

Correlation

Correlation describes the relationship between two data values

Correlation Coefficient

Multiple Choice

What is the correlation for the following Scatter Plot.

• Weak Positive

• No Correlation

• Strong Negative

• Weak Negative

• Strong Positive

Multiple Choice

What is the correlation for the following Scatter Plot.

• Weak Positive

• No Correlation

• Strong Negative

• Weak Negative

• Strong Positive

Multiple Choice

Given the following Scatter Plot, select the option that is most likely the r value.

• $$r=.27$$

• $$r=-.862$$

• $$r=.934$$

• $$r=.54$$

Multiple Choice

Determine the correlation of the points on the scatterplot.

• Positive Correlation

• Negative Correlation

• No Correlation

• Zero Correlation

Multiple Choice

The table shows the attendance at a flag football game for the first 8 games of the season. What is the correlation of the data?

• Strong Positive

• Strong negative

• Weak Postive

• Weak Negative

• No correlation

Multiple Choice

Average time spent listening to music per day and average time spent watching TV per day.  $$r=-.17$$  

• strong positive

• strong negative

• weak positive

• weak negative

Multiple Choice

Score on science exam and number of words written on the essay question.  $$r=.28$$  

• strong positive

• strong negative

• weak positive

• weak negative

Fill in the Blank

Compute the correlation coefficient.

Round to the nearest hundredth (2 decimal places). Do not put spaces when typing in your answer.

Mixed Practice

Multiple Choice

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

• A
• B
• C
• D

Multiple Choice

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 12 absences should get approximately what score on the final exam?

• 60

• 92

• 70

• 76

Multiple Choice

Which scatter plot shows a linear relationship between x and y?

• Graph A
• Graph B
• Graph C
• Graph D

Multiple Choice

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

• The more books students read, the lower their English grade.
• The more books students read, the higher their English grade.
• The fewer books students read, the higher their English grade. 
• No relationship exists between the number of books students read and their English grades. 

Multiple Choice

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

• 12 chapters
• 15 chapters
• 18 chapters
• 21 chapters

Multiple Choice

What is the equation of the line of best fit?

• y= $$-\frac{1}{2}x\ +\ 6$$

• y= $$\frac{1}{2}x\ +6$$

• y= 6x + 2

• y = -2x +6

Multiple Choice

Is this line an accurate line estimate of best fit for the data?

• Yes

• No

Multiple Choice

Which of the following lines represents the line of best fit for the scatter plot?

• A
• B
• C
• D

Match

Match each scatter plot to its description.

Positive Correlation

Negative Correlation

No Correlation

• Positive Correlation

• Negative Correlation

• No Correlation

Multiple Choice

About how many male math teachers were there in 2006?

• 15
• 30
• 35
• 45

Multiple Choice

Calculate the line of best fit.

• y = 510x + 8750

• y = 8750 + 510x

• y = 3x + 10700

• y = 10700x + 3

Multiple Choice

What is the shape of the data?

• symmetrical

• skewed left

• skewed right

• bell curve

Multiple Choice

The data for the latest test is shown in this graph. Select the true statement.

• The data has a gap a 74 and 76

• The data is symmetrical

• The data is skewed right

• The data is skewed left

Multiple Choice

Which statement best describes this distribution?

• Symmetrical or "Bell-Shaped"

• Symmetrical with a U shape

• Skewed Left

• Skewed Right

Multiple Choice

Which example shows CAUSATION? (Which one CAUSED the other to happen.)

• High social media usage and reduced grades.

• Car ran out of gas and being stranded on the side of the road.

• Recess time and number of friends.

Multiple Choice

Which example shows CAUSATION? (Which one CAUSED the other to happen.)

• Rainfall and time spent reading.

• Eating more butter and increased divorce rates.

• It started raining and the baseball game was delayed.

Multiple Choice

Which example shows CORRELATION? (The events show correlation, but one thing does NOT cause the other thing to happen.)

• I put water in the freezer and now I have ice.

• The alarm clock went off and I woke up.

• Temperature and the amount of people at the beach.

Multiple Choice

Which example shows a CORRELATION? (The events show correlation, but one thing does NOT cause the other thing to happen.)

• It rained and the ground is wet.

• Ice cream sales increase as temperature increases.