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Assessing Visual Overlap Between Distributions

Authored by Anthony Clark

Mathematics

11th Grade

Assessing Visual Overlap Between Distributions
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8 questions

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1.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Choose all the statements that are true

Both distributions have the same shape

Both shapes have the same IQR

Distribution B has a larger range than Distribution A

Both distributions have the same least value

Both distributions have the same greatest value

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Select the true statement

Both distributions are symmetric

Distribution A is skewed right

Distribution B is skewed right

Both distributions have an IQR of 12

3.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Select all of the true statements

25% of the data is between 2 and 4

25% of the data is between 8 and 14

50% of the data is between 8 and 14

50% of the data is between 4 and 8

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Describe the shape of this distribution

Skewed Left

Symmetric

Skewed Right

None of the above

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which distribution has an IQR of 4?

A

B

Neither

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are some common methods to compare distributions?

Regression analysis, data visualization, machine learning algorithms

Quantitative analysis, correlation analysis, clustering techniques

Visual inspection, summary statistics, hypothesis testing, graphical techniques

Sampling techniques, data cleaning, data transformation

7.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

The dot plots below show the number of customers at Mr. Burger and Mr. Chicken during rush hour over the course of 10 days. Which statement correctly compares the distribution of the number of customers at each restaurant during rush hour?

Mr. Burger's number of customers during rush hour, is greater than Mr. Chicken's number of customers during rush hour.

Mr. Burger's median number of customers during rush hour, is greater than Mr. Chicken's median number of customers during rush hour.

There is more variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

There is less variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

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