6A 3.3.2 Box Plots

The box-and-whisker plot shows the distribution of scores on a history quiz. Identify the median of the data.

Mathematical Equivalence

ON

The box-and-whisker plot shows the distribution of scores on a history quiz. Identify the range of the data.

Mathematical Equivalence

ON

Answer each question using the following data set.

0, 5, 5, 15, 30, 30, 45, 50, 50, 60, 75, 110, 140, 240, 330

Create a box-and-whisker plot of the data.

Answer each question using the following data set.

0, 5, 5, 15, 30, 30, 45, 50, 50, 60, 75, 110, 140, 240, 330

What is the median for the data set?

Mathematical Equivalence

ON

Answer each question using the following data set.

0, 5, 5, 15, 30, 30, 45, 50, 50, 60, 75, 110, 140, 240, 330

What is the Q3 for the data set?

Mathematical Equivalence

OFF

The residents of a small town worry about people speeding through it on the main road. The police monitored the speed of the cars that pass through the town. The data show the recorded speeds in miles per hour of 23 cars that passed through the town one morning.

73, 68, 72, 61, 51, 68, 70, 53, 72, 71, 46, 51, 55, 53, 65, 57, 65, 57, 58, 68, 61, 48, 83

Create a box-and-whisker plot of the data.

Complete the statements below using the small town's speeding data.

73, 68, 72, 61, 51, 68, 70, 53, 72, 71, 46, 51, 55, 53, 65, 57, 65, 57, 58, 68, 61, 48, 83

The minimum value is ​ (a)   .

The maximum value is ​ (b)   .

The value at Q1 is ​ ​ (c)   , so ​ (d)   percent of the cars travelled faster than that.

• 46
• 83
• 53
• 75
• 100
• 25
• 61
• 51

Complete the statements below using the small town's speeding data.

73, 68, 72, 61, 51, 68, 70, 53, 72, 71, 46, 51, 55, 53, 65, 57, 65, 57, 58, 68, 61, 48, 83

The median is ​ (a)   , so ​ (b)   percent of the cars traveled slower or faster than that.

The value at Q3 is ​ (c)   , so ​ (d)   percent of the cars traveled faster than that.

• 100
• 25
• 61
• 51
• 50
• 70
• 75
• 63
• 58

Complete the statements below using the small town's speeding data.

73, 68, 72, 61, 51, 68, 70, 53, 72, 71, 46, 51, 55, 53, 65, 57, 65, 57, 58, 68, 61, 48, 83

What is the IQR value?

Mathematical Equivalence

ON

Complete the statements below using the small town's speeding data.

73, 68, 72, 61, 51, 68, 70, 53, 72, 71, 46, 51, 55, 53, 65, 57, 65, 57, 58, 68, 61, 48, 83

What does the IQR tell you?

• 50% of the values are greater than that.

• 50% of the values are less than that.

• 50% of the values fall in that range.

• A third of the data falls in that range.