Review of box and whisker plots

Emma, Grace, and Elijah are comparing their heights. Who has the minimum height?

• 64

• 58

• 66

• 60

Answer explanation

The minimum value among the choices is 58, as it is less than 60, 64, and 66. Therefore, the correct answer is 58.

Charlotte and Olivia are analyzing box and whisker plots for their math project. Can you help them figure out which plot has the highest median?

• Top plot

• Bottom plot

Answer explanation

The top plot has the highest median, as indicated by the position of the median line within the box. The median is the line inside the box, and comparing both plots shows that the top plot's median is higher than the bottom plot's.

Hannah, Luna, and Charlotte are measuring their heights for a fun project. Can you help them find out what value is the lower quartile of their heights?

• 66

• 58

• 60

• 64

Answer explanation

The lower quartile (Q1) is the median of the lower half of the data set. In this case, it is 60, which is the correct answer, as it represents the 25th percentile of the data.

Elijah, Rohan, and Harper are measuring their heights for a fun science project. Can you help them find out what data value represents the upper quartile (Q3) in their height measurements?

• 64

• 62

• 66

• 58

Answer explanation

The upper quartile (Q3) is the median of the upper half of the data set. In this case, Q3 is 64, which represents the value below which 75% of the data falls.

Scarlett, Aiden, and Abigail are measuring their heights for a fun school project. Who among them has the maximum height?

• 58

• 66

• 64

• 60

Answer explanation

The maximum value among the choices is 66, as it is greater than all other options: 58, 64, and 60. Therefore, the correct answer is 66.

During a friendly basketball match, Michael, Priya, and Kai kept track of the baskets they made. Can you help them find the value of the lower quartile (Q1) from their data?

• 5

• 6

• 10

• 15

Answer explanation

The lower quartile (Q1) is the median of the lower half of the data set. In this case, the value of Q1 is 6, which represents the 25th percentile of the data.

Zoe, Abigail, and Liam are comparing their weekly spending on groceries. They plotted their expenses on a number line. Can you help them find the median of their data?

• 200

• 100

• 90

• 140

Answer explanation

To find the median, arrange the data in ascending order. The median is the middle value. If the dataset is {90, 100, 140, 200}, the median is 100, as it is the second value in the ordered list.

Imagine Samuel and Luna are playing a game with numbers. Samuel says, "The range is like finding the distance between the highest mountain and the lowest valley in our number landscape." What is the range?

• the difference between the third quartile and the first quartile

• the difference between the greatest and least data values.

Answer explanation

Range is defined as the difference between the greatest and least data values, making the second choice correct. The first choice refers to interquartile range, which is not the definition of range.

Nora, Anika, and Priya are playing a game with numbers. They have a data set, and they want to find out the range. Can you help them figure it out?

• 6

• 12

• 13

• 19

Answer explanation

The range of a data set is calculated by subtracting the smallest value from the largest value. If the largest value is 19 and the smallest is 6, the range is 19 - 6 = 13, making 13 the correct answer.

Imagine you're at a party with Noah, Evelyn, and Zoe, and you're trying to figure out the Interquartile Range of their dance moves! What is the Interquartile Range?

• It's the difference between the third quartile and the first quartile of their dance scores.

• It's the difference between the greatest and least dance scores.

Answer explanation

The Interquartile Range (IQR) is defined as the difference between the third quartile (Q3) and the first quartile (Q1). It measures the spread of the middle 50% of the data, making the first choice correct.