Box and Whisker

Which plot has a larger interquartile range?

• Top plot

• Bottom plot

Answer explanation

The interquartile range (IQR) measures the spread of the middle 50% of data. The bottom plot shows a wider spread between the first and third quartiles compared to the top plot, indicating a larger IQR.

Which box and whisker plot has the highest median?

• Top plot

• Bottom plot

Answer explanation

The top plot has a higher median value than the bottom plot, as indicated by the position of the median line within the boxes. Therefore, the top plot is the correct choice for having the highest median.

What does point C on the box plot represent?

• First Quartile

• Median

• Third Quartile

• Mean

Answer explanation

Point C on the box plot represents the median, which is the middle value of the dataset when arranged in order. It divides the data into two equal halves, making it a key measure of central tendency.

What do points A and E represent on the box plot?

• Mean and Mode

• Mean and Median

• Least and Greatest Value

• First and Third Quartiles

Answer explanation

Points A and E on a box plot represent the least and greatest values in the data set, respectively. They indicate the minimum and maximum data points, which are essential for understanding the range of the data.

What is the least and greatest value of this data set?

• 6 and 8

• 6 and 19

• 8 and 15

• 15 and 19

Answer explanation

The least value in the data set is 6, and the greatest value is 19. Therefore, the correct answer is 6 and 19.

Data points in the first quartile are between which two points?

• 6 and 8

• 8 and 12

• 12 and 15

• 15 and 19

Answer explanation

The first quartile represents the 25th percentile of a data set. In this case, the data points in the first quartile are between 6 and 8, making '6 and 8' the correct choice.

What is the Range of this data set?

• 13

• 37

• 72

Answer explanation

The range of a data set is calculated by subtracting the smallest value from the largest value. If the largest value is 72 and the smallest is 0, the range is 72 - 0 = 72. Thus, the correct answer is 72.

What is the minimum value?

• 64

• 58

• 66

• 60

Answer explanation

The minimum value among the choices is 58, as it is less than all other options provided (64, 66, and 60). Therefore, 58 is the correct answer.

What do you do if there are two numbers in "the middle" when you are finding the median?

• Pick your favorite number

• Add the two numbers in the middle & then divide by two.

• They are both the median

• None of the above

Answer explanation

To find the median when there are two middle numbers, you add them together and divide by two. This gives you the average of the two numbers, which is the correct median value.

What percent of students have a height between 58 inches and 60 inches?

• 25%

• 50%

• 75%

• 100%

Answer explanation

25% of students have a height between 58 inches and 60 inches, indicating that this range represents a quarter of the total student population. Therefore, the correct answer is 25%.