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Understanding Statistical Averages

Authored by Samuel F. Paul

Mathematics

8th Grade

Understanding Statistical Averages
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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Create a bar chart to represent the following data: Apples: 10, Bananas: 15, Cherries: 5. What does the chart indicate about the fruit sales?

Apples and Bananas have equal sales, while Cherries have significantly lower sales.

Bananas and Cherries are equally popular, with Apples being the least popular.

Cherries are the most popular fruit, followed by Bananas, with Apples being the least popular.

Bananas are the most popular fruit, followed by Apples, with Cherries being the least popular.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Interpret the frequency diagram below showing the number of pets owned by students: 1 pet (5 students), 2 pets (10 students), 3 pets (3 students). What can you conclude from this data?

Most students own 2 pets.

Most students own 1 pet.

3 pets are the most common among students.

The majority of students have no pets.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Draw a simple pie chart to represent the following data: 40% Dogs, 30% Cats, 20% Birds, 10% Fish. What does each section of the pie chart represent?

Dogs: 30%, Cats: 40%, Birds: 20%, Fish: 10%.

Dogs: 25%, Cats: 25%, Birds: 25%, Fish: 25%.

Dogs: 50%, Cats: 20%, Birds: 20%, Fish: 10%.

Dogs: 40%, Cats: 30%, Birds: 20%, Fish: 10%.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Construct a pictogram to show the number of books read by students: 1 book = 1 icon. If 4 students read 3 books, 3 students read 2 books, and 5 students read 1 book, how would you represent this?

📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚

📚📚📚📚📚📚📚📚📚

📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚

📚📚📚📚📚📚📚📚📚📚📚📚📚📚

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Analyze the following data set: Test scores of 5 students: 78, 85, 92, 88, 76. What is the average score?

90.2

85.0

80.5

83.8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Compare the bar chart and pie chart representing the same data set of favorite sports: Soccer, Basketball, and Tennis. Which representation do you think is more effective and why?

Both charts are equally effective for comparing favorite sports.

The pie chart is better for showing exact values of favorite sports.

The bar chart is less effective because it takes up more space.

The bar chart is more effective than the pie chart for comparing favorite sports.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the frequency diagram of students' favorite colors: Blue (8), Red (5), Green (7), interpret which color is the most popular and by how much it exceeds the others.

Blue and Green are equally popular, each with 8 votes.

Blue is the most popular color, exceeding Red by 3 votes and Green by 1 vote.

Green is the most popular color, exceeding Blue by 4 votes and Red by 2 votes.

Red is the most popular color, exceeding Blue by 2 votes and Green by 3 votes.

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