BCS M1FS Final - Unit 1 Question Bank

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10 questions

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15 students participated in the 20 problem “Elevating Elementary” math competition. Here are the number of problems that each student got correct:
[12,9,8,9,8,9,10,13,7,10,11,12,10,10,11]

Which best describes the shape of the distribution?

Approximately Normal

Skewed Left

Skewed Right

Bimodal

15 student scores were reported in the 20 problem “Elevating Elementary” math competition. Here are the number of problems that each student got correct:
[12,9,8,9,8,9,10,13,7,10,11,12,10,10,11]

Suppose that one student’s score had been lost, but when found, it was revealed that she got 19 problems correct!

Select ALL of the statements that are true.

The median would increase more than the mean

The mean would increase more than the median

The standard deviation would increase

The standard deviation would decrease

15 students participated in the 20 problem “Elevating Elementary” math competition. Here are the number of problems that each student got correct:
[12,9,8,9,8,9,10,13,7,10,11,12,10,10,11]

Which of the following statements is true?

The most appropriate measure of the center would be mean, and the most appropriate measure of the variability would be IQR.

The most appropriate measure of the center would be mean, and the most appropriate measure of the variability would be standard deviation.

The most appropriate measure of the center would be median, and the most appropriate measure of the variability would be IQR.

The most appropriate measure of the center would be median, and the most appropriate measure of the variability would be standard deviation.

Two car dealerships recorded the number of cars they each sold every month for a year. The data is displayed below in the boxplots.

Select ALL of the statements that are true.

Dealership A’s IQR is higher than Dealership B’s IQR

Dealership B’s IQR is higher than  Dealership A’s IQR

Dealership A and B have a similar IQR.

Dealership A and B typically sold about the same amount of cars

Dealership A typically sold more cars than Dealership B

Dealership B typically sold more cars than Dealership A.

The histograms below represent the maximum temperature in Juneau, Alaska and Asheville, North Carolina recorded on days in April 2022.

Select ALL of the statements that are true.

Asheville, NC had a higher typical temperature than Juneau, Alaska

Juneau, Alaska is significantly more variable than Asheville, NC

Both histograms have shapes that are symmetric.

15 temperatures were recorded in Asheville, NC. 

Juneau, Alaska had the lowest recorded temperature between the two cities

A group of 10 students are 46-54 inches tall. An adult who is 73 inches tall joins the group. Which statement is true for this situation?

None of the measures of central tendency (mean, median, or mode) will be affected by the adult’s height.

The median height will be more affected by the adult’s height than the mode(s) or the mean.

The mode(s) will be more affected by the adult’s height than the median or the mean.

The mean height will be more affected by the adult’s height than the mode(s) or the median.

Ms. Clark determined that the mean test score in her first-period class was 84 with a standard deviation of 6.14. The mean test score in her second-period class was 91 with a standard deviation of 7.06. Which conclusion can be made about her students’ test scores?

Period 2 had scores that were less spread out around the mean than Period 1.

Period 1 had scores that were less spread out around the mean than Period 2.

Period 2 had scores that were less spread out around the median than Period 1.

Period 1 had scores that were less spread out around the median than Period 2.

The box plots below show the miles per gallon (mpg) ratings distribution
for three types of cars.

Which statement best describes the variability of the mpg ratings for the cars?

There is more variability in the mpg of the small cars than the sports cars and family cars.

There is more variability in the mpg of the family cars than the sports cars and small cars.

There is less variability in the mpg of the small cars than the family cars and sports cars.

There is less variability in the mpg of the family cars than the sports cars and small cars.

Fifteen players on a baseball team were timed running 40 yards. Their times in seconds are shown in the table below.

Create a histogram using a bin width of 0.1.

Which of the following best described the shape of the histogram?

approximately normal

skewed to the right

no defined shape

skewed to the left

The table shows the test scores for boys and girls in a class.

Which of the following is an accurate statement in comparing the boys' scores and the girls' scores?

The standard deviations indicate that the girls' scores have less variability than the boys' scores.

The standard deviations indicate that the boys'' scores have less variability than the girls scores.

The medians are the same for both groups.

The mean of the boys' scores is higher than the mean of the girls' scores.

15 students participated in the 20 problem “Elevating Elementary” math competition. Here are the number of problems that each student got correct:
                                             [12,9,8,9,8,9,10,13,7,10,11,12,10,10,11]

Which best describes the shape of the distribution?

Approximately Normal

Skewed Left

Skewed Right

Bimodal

15 student scores were reported in the 20 problem “Elevating Elementary” math competition. Here are the number of problems that each student got correct:
                                      [12,9,8,9,8,9,10,13,7,10,11,12,10,10,11]

Suppose that one student’s score had been lost, but when found, it was revealed that she got 19 problems correct! 

Select ALL of the statements that are true.

The median would increase more than the mean

The mean would increase more than the median

The standard deviation would increase

The standard deviation would decrease

15 students participated in the 20 problem “Elevating Elementary” math competition. Here are the number of problems that each student got correct:
[12,9,8,9,8,9,10,13,7,10,11,12,10,10,11]

Which of the following statements is true?

The most appropriate measure of the center would be mean, and the most appropriate measure of the variability would be IQR.

The most appropriate measure of the center would be mean, and the most appropriate measure of the variability would be standard deviation.

The most appropriate measure of the center would be median, and the most appropriate measure of the variability would be IQR.

The most appropriate measure of the center would be median, and the most appropriate measure of the variability would be standard deviation.

Two car dealerships recorded the number of cars they each sold every month for a year. The data is displayed below in the boxplots.

Select ALL of the statements that are true.

Dealership A’s IQR is higher than Dealership B’s IQR

Dealership B’s IQR is higher than  Dealership A’s IQR

Dealership A and B have a similar IQR.

Dealership A and B typically sold about the same amount of cars

Dealership A typically sold more cars than Dealership B

Dealership B typically sold more cars than Dealership A.

The histograms below represent the maximum temperature in Juneau, Alaska and Asheville, North Carolina recorded on days in April 2022.

Select ALL of the statements that are true.

Asheville, NC had a higher typical temperature than Juneau, Alaska

Juneau, Alaska is significantly more variable than Asheville, NC

Both histograms have shapes that are symmetric.

15 temperatures were recorded in Asheville, NC. 

Juneau, Alaska had the lowest recorded temperature between the two cities

A group of 10 students are 46-54 inches tall. An adult who is 73 inches tall joins the group. Which statement is true for this situation? 

None of the measures of central tendency (mean, median, or mode) will be affected by the adult’s height.

The median height will be more affected by the adult’s height than the mode(s) or the mean.

The mode(s) will be more affected by the adult’s height than the median or the mean.

The mean height will be more affected by the adult’s height than the mode(s) or the median.

Ms. Clark determined that the mean test score in her first-period class was 84 with a standard deviation of 6.14. The mean test score in her second-period class was 91 with a standard deviation of 7.06. Which conclusion can be made about her students’ test scores?

Period 2 had scores that were less spread out around the mean than Period 1.

Period 1 had scores that were less spread out around the mean than Period 2.

Period 2 had scores that were less spread out around the median than Period 1.

Period 1 had scores that were less spread out around the median than Period 2.

The box plots below show the miles per gallon (mpg) ratings distribution
for three types of cars.


Which statement best describes the variability of the mpg ratings for the cars?

There is more variability in the mpg of the small cars than the sports cars and family cars.

There is more variability in the mpg of the family cars than the sports cars and small cars.

There is less variability in the mpg of the small cars than the family cars and sports cars.

There is less variability in the mpg of the family cars than the sports cars and small cars.

Fifteen players on a baseball team were timed running 40 yards.  Their times in seconds are shown in the table below.

Create a histogram using a bin width of 0.1.

Which of the following best described the shape of the histogram?

approximately normal

skewed to the right

no defined shape

skewed to the left

The table shows the test scores for boys and girls in a class.

Which of the following is an accurate statement in comparing the boys' scores and the girls' scores?

The standard deviations indicate that the girls' scores have less variability than the boys' scores.

The standard deviations indicate that the boys'' scores have less variability than the girls scores.

The medians are the same for both groups.

The mean of the boys' scores is higher than the mean of the girls' scores.

BCS M1FS Final - Unit 1 Question Bank

BCS M1FS Final - Unit 1 Question Bank

15 students participated in the 20 problem “Elevating Elementary” math competition. Here are the number of problems that each student got correct: [12,9,8,9,8,9,10,13,7,10,11,12,10,10,11]Which best describes the shape of the distribution?

15 students participated in the 20 problem “Elevating Elementary” math competition. Here are the number of problems that each student got correct:[12,9,8,9,8,9,10,13,7,10,11,12,10,10,11]Which of the following statements is true?

Two car dealerships recorded the number of cars they each sold every month for a year. The data is displayed below in the boxplots.Select ALL of the statements that are true.

The histograms below represent the maximum temperature in Juneau, Alaska and Asheville, North Carolina recorded on days in April 2022.Select ALL of the statements that are true.

A group of 10 students are 46-54 inches tall. An adult who is 73 inches tall joins the group. Which statement is true for this situation?

Ms. Clark determined that the mean test score in her first-period class was 84 with a standard deviation of 6.14. The mean test score in her second-period class was 91 with a standard deviation of 7.06. Which conclusion can be made about her students’ test scores?

The box plots below show the miles per gallon (mpg) ratings distributionfor three types of cars.Which statement best describes the variability of the mpg ratings for the cars?

Fifteen players on a baseball team were timed running 40 yards. Their times in seconds are shown in the table below.Create a histogram using a bin width of 0.1.Which of the following best described the shape of the histogram?

The table shows the test scores for boys and girls in a class.Which of the following is an accurate statement in comparing the boys' scores and the girls' scores?

15 students participated in the 20 problem “Elevating Elementary” math competition. Here are the number of problems that each student got correct:
[12,9,8,9,8,9,10,13,7,10,11,12,10,10,11]

Which best describes the shape of the distribution?

15 students participated in the 20 problem “Elevating Elementary” math competition. Here are the number of problems that each student got correct:
[12,9,8,9,8,9,10,13,7,10,11,12,10,10,11]

Which of the following statements is true?

Two car dealerships recorded the number of cars they each sold every month for a year. The data is displayed below in the boxplots.

Select ALL of the statements that are true.

The histograms below represent the maximum temperature in Juneau, Alaska and Asheville, North Carolina recorded on days in April 2022.

Select ALL of the statements that are true.

The box plots below show the miles per gallon (mpg) ratings distribution
for three types of cars.

Which statement best describes the variability of the mpg ratings for the cars?

Fifteen players on a baseball team were timed running 40 yards. Their times in seconds are shown in the table below.

Create a histogram using a bin width of 0.1.

Which of the following best described the shape of the histogram?

The table shows the test scores for boys and girls in a class.

Which of the following is an accurate statement in comparing the boys' scores and the girls' scores?