Question 1

Another name for a z score is

Accepted Answer

A z score is also known as a standard score because it represents the number of standard deviations a data point is from the mean.

Question 2

Another name for a standard score is

Accepted Answer

A standard score is commonly referred to as a z-score, which measures how many standard deviations an element is from the mean.

Question 3

A z score is

Accepted Answer

A z score is calculated by taking the deviation of a score from the mean (i.e., the score minus the mean) and then dividing this value by the standard deviation of the dataset.

Question 4

For the distribution 1, 2, 3, 4, 5, a raw score of 2 has a z score of

Accepted Answer

The answer of For the distribution 1, 2, 3, 4,...

Question 5

A z score of 2.5 indicates a raw score

Accepted Answer

A z score of 2.5 indicates that the raw score is 2.5 standard deviations above the mean, which means it is much larger than the mean.

Question 6

The advantage of using z scores over using raw scores is that z scores allow you to

Accepted Answer

Z scores allow for comparison across different distributions by standardizing scores, and they also help understand a score's relationship to the mean within a distribution, making both A and B correct.

Question 7

Suppose Distribution A had a mean of 50 and a standard deviation of 10 while Distribution B had a mean of 50 and a standard deviation of 15. A score of 55 would be relatively

Accepted Answer

A score of 55 is 0.5 standard deviations from the mean in Distribution A (since 55 - 50 = 5, and 5 / 10 = 0.5), but only 1/3 of a standard deviation from the mean in Distribution B (since 55 - 50 = 5, and 5 / 15 = 1/3). Therefore, the score is more extreme in Distribution A, where the standard deviation is smaller.

Question 8

Suppose Debbie's sociology teacher calculated z scores for each student on each exam. For the last three exams, Debbie's z scores were 1.00, 1.50, and 2.00. From this information you can conclude that the exam with the largest standard deviation was exam number

Accepted Answer

The z score formula is z = (X - μ) / σ, where X is the score, μ is the mean, and σ is the standard deviation. Without knowing the actual scores (X) or the means (μ) of the exams, we cannot determine which exam had the largest standard deviation solely based on the z scores.

Question 9

In Spanish 1100, Karen distributed her study time evenly over the term (as suggested for those who want the most learning per unit of time invested). On the four 50 point tests, Karen made 38 each time. Given the class parameters below, which test represents Karen's worst performance?

Accepted Answer

The answer of In Spanish 1100, Karen distributed her study...

Question 10

Four brothers took an anthropology course from the same instructor during four different years. The total points of each, along with the class parameters are given below. Use z scores to determine who did the best.

Accepted Answer

The answer of Four brothers took an anthropology course from...

Question 11

George D. took four exams in American history. On each he made a score of 89. The $\mu$'s and $\sigma$'s for these four tests are given below. On which test did George's 89 represent his best performance?

Accepted Answer

George's score of 89 is closest to the mean in option B, and the standard deviation is larger, indicating his score is relatively better compared to the average performance.

Question 12

Four sections of General Biology were taught by four lecturers who used different tests over the same material. The four students, one from each section, compared test scores on the material in Part 1 to see who did the best. Use z scores to choose the winner:

Accepted Answer

Jon has the highest z-score of 2, calculated as (47-37)/5, indicating he performed the best relative to his class.

Question 13

David took four exams in history. On each he made a score of 113. The $\mu$ 's and $\sigma$'s for those four tests are given below. On which test did David's 113 represent his best performance?

Accepted Answer

The answer of David took four exams in history. On...

Question 14

Jennifer played on her college's golf team each year she was in college. At the conference playoff she shot an 80 every year. Given the parameters for the other players, which year represented Jennifer's best performance? (Low scores are better in golf.)

Accepted Answer

The answer of Jennifer played on her college's golf team...

Question 15

Four sorority sisters took General Psychology, but they were enrolled in different sections that were taught by different instructors who gave different tests. After the first test, they gathered at the sorority house with their own scores and the class parameters. Which sister did best?

Accepted Answer

Stacey did the best because her score of 100 out of a possible 70 indicates she scored over 100% when considering extra credit, which is higher than any other sister's performance relative to their test's scale.

Question 16

For four years in a row at the annual Late 90's Video Game Contest, a different entrant won the contest. The field of contestants was different each year. Each year's winners, amount of time they played, and contest statistics are shown. Who was the overall winner?

Accepted Answer

The answer of For four years in a row at...

Question 17

The two measures of central tendency that a boxplot shows are the

Accepted Answer

A boxplot shows the median directly through the line that divides the box and can give an idea of the mean if the distribution is symmetric, but it does not directly show the mode.

Question 18

The two measures of variability that a boxplot shows are the

Accepted Answer

A boxplot shows the interquartile range (IQR), which is the range of the middle 50% of the data, and the total range, which is the difference between the maximum and minimum values in the dataset.

Question 19

The number of descriptive statistics conveyed by a boxplot is

Accepted Answer

A boxplot conveys more than three descriptive statistics: minimum, first quartile (Q1), median, third quartile (Q3), and maximum. Additionally, it can also show outliers.

Question 20

Outlier scores of a distribution can be conveyed in a boxplot with a symbol

Accepted Answer

Outlier scores in a distribution are typically represented in a boxplot with symbols beyond the whiskers. The whiskers extend to the highest and lowest values within a specific range (usually 1.5 times the interquartile range from the quartiles), and points outside of this range are considered outliers and marked accordingly.

Quiz 5: Other Descriptive Statistics

Another name for a z score is

Another name for a standard score is

A z score is

For the distribution 1, 2, 3, 4, 5, a raw score of 2 has a z score of

A z score of 2.5 indicates a raw score

The advantage of using z scores over using raw scores is that z scores allow you to

Suppose Distribution A had a mean of 50 and a standard deviation of 10 while Distribution B had a mean of 50 and a standard deviation of 15. A score of 55 would be relatively

Suppose Debbie's sociology teacher calculated z scores for each student on each exam. For the last three exams, Debbie's z scores were 1.00, 1.50, and 2.00. From this information you can conclude that the exam with the largest standard deviation was exam number

In Spanish 1100, Karen distributed her study time evenly over the term (as suggested for those who want the most learning per unit of time invested) . On the four 50 point tests, Karen made 38 each time. Given the class parameters below, which test represents Karen's worst performance?

Four brothers took an anthropology course from the same instructor during four different years. The total points of each, along with the class parameters are given below. Use z scores to determine who did the best.

George D. took four exams in American history. On each he made a score of 89. The $\mu$ 's and $\sigma$ 's for these four tests are given below. On which test did George's 89 represent his best performance?

Four sections of General Biology were taught by four lecturers who used different tests over the same material. The four students, one from each section, compared test scores on the material in Part 1 to see who did the best. Use z scores to choose the winner:

David took four exams in history. On each he made a score of 113. The $\mu$ 's and $\sigma$ 's for those four tests are given below. On which test did David's 113 represent his best performance?

Jennifer played on her college's golf team each year she was in college. At the conference playoff she shot an 80 every year. Given the parameters for the other players, which year represented Jennifer's best performance? (Low scores are better in golf.)

Four sorority sisters took General Psychology, but they were enrolled in different sections that were taught by different instructors who gave different tests. After the first test, they gathered at the sorority house with their own scores and the class parameters. Which sister did best?

For four years in a row at the annual Late 90's Video Game Contest, a different entrant won the contest. The field of contestants was different each year. Each year's winners, amount of time they played, and contest statistics are shown. Who was the overall winner?

The two measures of central tendency that a boxplot shows are the

The two measures of variability that a boxplot shows are the

The number of descriptive statistics conveyed by a boxplot is

Outlier scores of a distribution can be conveyed in a boxplot with a symbol

Quiz 5: Other Descriptive Statistics

Another name for a z score is

Another name for a standard score is

A z score is

For the distribution 1, 2, 3, 4, 5, a raw score of 2 has a z score of

A z score of 2.5 indicates a raw score

The advantage of using z scores over using raw scores is that z scores allow you to

Suppose Distribution A had a mean of 50 and a standard deviation of 10 while Distribution B had a mean of 50 and a standard deviation of 15. A score of 55 would be relatively

Suppose Debbie's sociology teacher calculated z scores for each student on each exam. For the last three exams, Debbie's z scores were 1.00, 1.50, and 2.00. From this information you can conclude that the exam with the largest standard deviation was exam number

In Spanish 1100, Karen distributed her study time evenly over the term (as suggested for those who want the most learning per unit of time invested) . On the four 50 point tests, Karen made 38 each time. Given the class parameters below, which test represents Karen's worst performance?

Four brothers took an anthropology course from the same instructor during four different years. The total points of each, along with the class parameters are given below. Use z scores to determine who did the best.

George D. took four exams in American history. On each he made a score of 89. The μ\muμ 's and σ\sigmaσ 's for these four tests are given below. On which test did George's 89 represent his best performance?

Four sections of General Biology were taught by four lecturers who used different tests over the same material. The four students, one from each section, compared test scores on the material in Part 1 to see who did the best. Use z scores to choose the winner:

David took four exams in history. On each he made a score of 113. The μ\muμ 's and σ\sigmaσ 's for those four tests are given below. On which test did David's 113 represent his best performance?

Jennifer played on her college's golf team each year she was in college. At the conference playoff she shot an 80 every year. Given the parameters for the other players, which year represented Jennifer's best performance? (Low scores are better in golf.)

Four sorority sisters took General Psychology, but they were enrolled in different sections that were taught by different instructors who gave different tests. After the first test, they gathered at the sorority house with their own scores and the class parameters. Which sister did best?

For four years in a row at the annual Late 90's Video Game Contest, a different entrant won the contest. The field of contestants was different each year. Each year's winners, amount of time they played, and contest statistics are shown. Who was the overall winner?

The two measures of central tendency that a boxplot shows are the

The two measures of variability that a boxplot shows are the

The number of descriptive statistics conveyed by a boxplot is

Outlier scores of a distribution can be conveyed in a boxplot with a symbol

George D. took four exams in American history. On each he made a score of 89. The $\mu$ 's and $\sigma$ 's for these four tests are given below. On which test did George's 89 represent his best performance?

David took four exams in history. On each he made a score of 113. The $\mu$ 's and $\sigma$ 's for those four tests are given below. On which test did David's 113 represent his best performance?