8th Grade Math CBA 5: Scatterplots and Statistics

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Questions and Answers

Which sampling method would likely produce the most representative sample of the school's students?

Give every student a number and select 20 numbers from a box without looking. (correct)

Choose the 20 students who volunteer for the school fundraising event this Friday.

Choose the first 20 students from an alphabetized school roster.

Choose the first 20 students to arrive in the library in the morning.

Which scatterplot represents a non-linear, positive relationship between x and y?

Scatterplot 3

Scatterplot 1 (correct)

Scatterplot 2

Scatterplot 4

Based on the trend in the scatterplot showing reading times, which prediction is the most reasonable for the time it would take to read a 90-page report?

155 min

95 min

105 min

125 min (correct)

The mean absolute deviation (MAD) represents the average distance each data point is from the _____.

Mean (D) Signup and view all the answers

Which scatterplot suggests a linear relationship between x and y?

Scatterplot B (D) Signup and view all the answers

What is the best interpretation of the scatterplot showing the number of practice shots taken and the number of free throws missed?

There is no correlation between the number of practice shots taken and the number of free throws missed. (C) Signup and view all the answers

If the basketball team took 50 practice shots in one practice, what is the best prediction for how many free throws they would miss in their next game?

8 (A) Signup and view all the answers

Based on the scatterplot in question 7, what type of relationship exists between the number of guests and the number of cookies eaten at an event?

Positive, linear (C) Signup and view all the answers

What is the mean of the number of fish in the tanks at the zoo, as shown in question 8?

15.1 (D) Signup and view all the answers

In question 9, what is the relationship between the number of games won and the hours practiced?

Positive (B) Signup and view all the answers

Which of the following statements is true about the scatterplots in question 10?

Scatterplot J shows a linear relationship, scatterplots F, G, and H show a non-linear relationship. (C) Signup and view all the answers

In question 11, if Samantha's name is 7 letters long, how much does the engraving cost?

$17.50 (C) Signup and view all the answers

What is the slope of the line in question 12 where the points (24, -20) and (-32, 1) lie?

-21/56 (B) Signup and view all the answers

In question 12, what is the y-intercept of the line where the points (24, -20) and (-32, 1) lie?

12.2 (E) Signup and view all the answers

What is the equation of the line passing through the points (24, -20) and (-32, 1) in question 12?

y = (-21/56)x + 12.2 (B) Signup and view all the answers

Study Notes

8th Grade Math CBA 5 (24-25)

Mrs. Williams wants a sample of 20 students from the school.
A random sample is obtained by giving every student a number and selecting 20 numbers from a box without looking.

Scatterplots

Analyze scatterplots to determine if the relationship is linear, non-linear, or neither.
If linear, determine if it is positive, negative, or neither.

Report Reading Times

A scatterplot shows the relationship between the time spent reading and the number of pages in a report.
The question asks for the best prediction for reading time for a 90-page report.

Mean Absolute Deviation

Given data of 8 great grandchildren's weights: 45, 52, 31, 27, 38, 60, 44, 55
Calculate the mean absolute deviation.

Scatterplots and Linear Relationships

Identify which scatterplot does NOT represent a linear relationship.

Practice Shots and Missed Free Throws

A scatterplot displays the relationship between practice shots taken and missed free throws in a basketball game..
The data show that an increase in practice shots is associated with a decrease in missed free throws.
This trend shows a negative linear association.

Cookies Eaten at Events

A scatterplot shows the relationship between the number of guests and the number of cookies eaten.
Approximate the number of cookies eaten at an event with 45 guests.

Number of Fish per Tank

Calculate the mean absolute deviation of the number of fish in each tank.

Baseball Games Won vs. Hours of Practice

A scatterplot displays the relationship between hours of practice and games won by a baseball team.
The relationship is positive.
Determine the number of games won. if the team practices 3 hours a week.

Non-linear Relationships

Identify the scatterplot that depicts a non-linear relationship between x and y values.

Silver Touch Engraving

One-time fee of $4.99 to set up an account.
$2.50 per letter for engraving.
Calculate the total cost for engraving a name on a picture frame.

Equation of a Line

Find the equation of the line given two points.

Function in a Table

A table shows y as a function of x.
Identify ordered pairs that do not belong to the function.

Mapping Diagrams

Determine which mapping diagram does NOT represent y as a function of x.

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Description

This quiz focuses on key concepts in 8th-grade mathematics, including random sampling, analyzing scatterplots, and calculating the mean absolute deviation. Students will need to interpret data relationships and make predictions based on scatterplot information. Engage in practical problems that help reinforce mathematical concepts involving statistics and data analysis.