Data Analysis Representation of Data

Elise practiced gymnastics for 50 minutes. The time she spent on each activity is recorded in the table below. Which of the following graphs best represent the percent of time Elise spent on each activity during her gymnastics practice?

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The table below shows the number of minutes Melissa ran each day during three weeks when she was training for a race. Which statement is best supported by the data in the table?

• The total number of minutes Melissa ran in Week 3 is twice the total number of minutes she ran in Week 1.

• The total number of minutes Melissa ran each day decreased from Week 1 to Week 2.

• The total number of minutes Melissa ran in Week 3 is more than the total number of minutes she ran in Weeks 1 and 2 combined.

• The total number of minutes Melissa ran each week increased by about 5 minutes per week.

The bar graph below shows the number of items sold at an electronics store one weekend being that 168 items were sold.

Which statement is best supported by the information in the graph?

• The number of video games sold was 20% of the number of computers sold.

• The number of music systems sold was three times more than the number of video games sold.

• The number of video games sold was half of the number of DVDs sold.

• The number of televisions sold was 25% of the total number of items sold.

The circle graph below displays the household population by age groups of Mr. Mixon’s 8^th grade classes. If Mr. Mixon has 200 students, what is the difference from the number of students that have family members between 51 to 64 years of age and students that have family members between 6 to 20 years of age?

• 72 students

• 54 students

• 12 students

• 6 students

Which circle graph represents the same data as the histogram?

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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.

• Box Plots are useful because ...

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

• Histograms are useful because ...

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

• Dot Plots are useful because ...

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

What is the difference in the range between Camille’s and Faith’s hours worked?

• 0 hours

• 1 hour

• 2 hours

• 4 hours

A survey of 18 students asked each to name their favorite color. The results are represented in the dot plot.

Based on the data collected, which statement below accurately describes this data?

• The ratio of students that selected pink compared to blue is 1:3.

• Half of the students selected either green or red as their favorite color.

• Green or blue was selected by of the students surveyed.

• The ratio of students that selected red compared to other is 3:6.

Compare the two box plots below that show the amount of time spent studying for two of Mrs. Victor’s classes.
Which statement is best supported by the information in the box plots?

• The data for Class 1 and Class 2 is symmetrical.

• The median number of the data for Class 1 is greater than the median number of the data for Class 2.

• Class 1 has a larger range of data than Class 2.

• The interquartile range of data for Class 1 is greater than the interquartile range of the data for Class 2.

Joan and Nory each planed their own vegetable garden. The dot plots below show the heights of their okra plants. Which statement about the heights of their okra plants appears to be true?

• The median height of Nory’s okra plants is less than the median height of Joan’s okra plants.

• The distribution of data for both Joan and Nory are symmetrical.

• The range of okra plant heights for Joan is less than the range of Nory’s okra plant heights.

• The peak of the data for both sets is equal.