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## Mathematics

## Mathematics

## 9th

## grade

# U7 - Statistics Practice (Dot Plots,Histograms)

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9th

grade

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Gabriel Garcia

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13 questions

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- 1. Multiple Choice3 minutes1 pt
The table on the left shows the number of customers that visit a store at different times of the day.

Which histogram correctly displays the given data?

- 2. Multiple Choice1 minute1 pt
This histogram shows the ages of the members of a community gym.

Question: How will the mean age of members at the community gym change if the outlier in the data is removed?

The mean age of members will increase.

The mean age of members will decrease.

The outlier does not affect the mean, so the mean age of members will not change.

There is no outlier in this data set, so the change in the mean age of members cannot be determined.

- 3. Multiple Choice5 minutes1 pt
Mr. Morris gave his algebra class a test, the results of which are listed below.

68, 92, 74, 75, 86, 90, 92, 81, 60, 82, 77, 80

Shania was absent on the day of the test and had to take the test on a date after the scores were first posted. She earned a score of 99. Which measure of the class's test results did Shania's score most change?

Interquartile Range (IQR)

Mean

Median

Range

- 4. Multiple Choice3 minutes1 pt
The ages of the US Presidents that were inaugurated during the 1900s are given below.

42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46

Look at the box-and-whisker plot of these data below. What, if anything, is wrong with this box-and-whisker plot?

The value of Q1 is incorrect.

The median is incorrect.

The value of Q3 is incorrect.

The box-and-whisker plot is correct.

- 5. Multiple Choice3 minutes1 pt
Ms. Bonner’s Weight Lifting class is recording their maximum weights they lift for repetitions. The students’ results are listed.

Calculate the mean for each class period. Which class has the highest mean for one repetition maximum (1RM)?

period 1

period 2

period 3

period 4

- 6. Multiple Choice1 minute1 pt
Which of these correlations represents causation?

As the sales of a product increase, its price increases.

The weight of a person increases with an increase in the person’s height.

As the speed of a vehicle increases, the time taken to cover a distance decreases.

As the sales of ice cream in the summer increase, sales of sunglasses at a store also increase.

- 7. Multiple Choice3 minutes1 pt
The table displays the enrollment of freshmen taking Algebra 1, Geometry, or Algebra 2.

Some of the information is missing. The total number of girls enrolled is equal to the number of boys. There are twice as many boys enrolled in Algebra 1 as boys enrolled in Geometry.

Based on this information, which statement is correct?

There are 68 boys enrolled in Algebra 1.

There are 12 boys enrolled in Algebra 2.

There are 92 girls enrolled in Algebra 1.

There are 160 students enrolled in both Algebra 1 and Geometry.

- 8. Multiple Choice2 minutes1 pt
Student enrollment in world languages is provided in the two-way frequency table.

Based on the information provided, determine the marginal relative frequency of students taking French.

20%

30%

40%

80%

- 9. Multiple Choice1 minute1 pt
The scatter plot represents the test scores of 21 students and the number of hours they studied.

Which function best fits the data?

y = 7x + 41

y = 41x + 7

y = 6x + 20

y = 20x + 6

- 10. Multiple Choice45 seconds1 pt
Lovell recorded the number of tickets and hotdogs sold at King Stadium. He listed the sales in the table.

Based on the data, Lovell determined that the correlation coefficient was 0.993. Which statement best describes the correlation between the number of tickets and hotdogs sold at King Stadium?

There is a weak linear correlation.

There is a strong linear correlation.

There is a weak nonlinear correlation.

There is a strong nonlinear correlation.

- 11. Multiple Choice2 minutes1 pt
The outdoor temperature can be determined by counting the number of chirps a cricket makes in 25 seconds. A scientist counted the number of chirps and recorded the outdoor temperature in degrees Celsius (°C) once a month for 15 months. She found that there was a linear association and plotted her data along with the function that best fits.

If she counted 33 cricket chirps in 25 seconds, what would she predict the outdoor temperature to be?

12℃

15℃

40℃

80℃

- 12. Multiple Choice3 minutes1 pt
Judy is a personal trainer at a local gym and wants to track the weight loss of her 11 clients during a 4-week program. She records the amount of time they exercise (in hours), 𝑥, and the amount of weight loss (in pounds), 𝑦. She models the data using the function 𝑦 = 3 + 0.5𝑥. To analyze the fit of her function, she finds the residuals and creates the following residual plot.

Which conclusion about the fit of the function is supported by the residual plot?

The residuals indicate that the function is an unbiased model that represents a negative, linear association between hours of exercise and weight loss.

The residuals indicate that the function is an unbiased model that represents a positive, linear association between hours of exercise and weight loss.

The residuals indicate that the function is a biased model of the association between hours of exercise and weight loss.

The residuals indicate that there is no association between hours of exercise and weight loss.

- 13. Multiple Choice3 minutes1 pt
A researcher selected 8 chicken farms from across the state for a study. The researcher recorded the number of hens and the number of eggs laid by those hens over a 24-hour period. The researcher then calculated a line of best fit for the data. The equation of the line of best fit was 𝑦 = 0.97𝑥 + 3.06 where 𝑥 represents the number of hens and 𝑦 represents the number of eggs.

Which statement is true?

0.97 represents the average number of eggs laid by a hen per day.

3.06 represents the average number of eggs laid by a hen per day.

0.97 represents the average number of hens that laid eggs per day.

3.06 represents the average number of hens that laid eggs per day.

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