Representing and Describing Statistical Data in Various Ways

The total number of candy bars sold by each band member is shown in the stem and leaf plot. Which statement is best supported by the data in the stem and leaf plot?

• The most common number of candy bars sold is 16.

• The number of band members who sold between 10-20 candy bars is greater than the number of band members who sold more than 40 candy bars.

• The most common number of candy bars sold is 30.

• The number of band members who sold more than 30 candy bars is greater than the number of band members who sold fewer than 30 candy bars.

The histogram shows the number of people in each age group that participated in a 5k run. Which age group had less people than all the other age groups?

• 0-9

• 20-29

• 40-49

• 50-59

The dot plot shows the amount of money each teacher spent on candy for prizes last week. Which statement is NOT supported by the data?

• Less than half the teachers spent less than $14 on candy.

• More than half the teachers spent $15 or more on candy.

• There were no teachers who spent $11 on candy.

• Exactly 4 teachers spent less than $15 on candy.

TVAH middle school had a canned food drive. The amount of cans collected by each class is shown below. 428, 492, 358, 426, 384, 488, 356, 402 What is the range of the data?

Consider the three representations of a data set: the dot plot, the box plot, and the histogram. Which representation do you think is the most useful for observing the overall shape and spread of the data set? Match the explanations to each type of graph.

• Histograms are useful because ...

• data points are grouped together in a more readable way, especially for large data sets.

• Dot Plots are useful because ...

• quartiles, median, IQR and range can be easily identified.

• Box Plots are useful because ...

• specific data points can be identified and the mean and median can be calculated.

• 15, 75, 85, 95, 105, 115

• Skewed Right

• 15, 25, 35, 45, 55, 115

• Skewed Left

• 15, 25, 35, 45, 55, 65

• Symmetrical

This data is

• symmetrical

• skewed right

• skewed left

When MOST of the data is clustered near the LESSER values, the data is considered to be

• Skewed Right

• Skewed Left

• Skewed High

• Skewed Low

What is the distribution of the data?

• skewed right

• skewed left

• symmetric

• stairsteps

What is the shape of the data?

• symmetrical

• skewed left

• skewed right

• bell curve