Grade 9 Quantitative Data Analysis Worksheet

Quantitative Data Analysis

Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. Which of the following is NOT a measure of central tendency?

2. What type of graph is best suited for displaying the frequency distribution of continuous data?

1. The   is the sum of all values divided by the number of values in a dataset.

2. The   is the middle value in an ordered dataset.

3. A dataset with two modes is called  .

1. Consider the following dataset: 12, 15, 11, 18, 15, 13, 15, 10. Calculate the mean, median, and mode.

2. Explain the difference between discrete and continuous data, providing an example for each.

The following data represents the scores of 20 students on a recent math test:

65, 78, 80, 72, 68, 85, 90, 75, 78, 82, 60, 70, 75, 88, 92, 63, 79, 81, 74, 86

Create a bar graph to represent the frequency of scores within the following intervals:

- 60-69

- 70-79

- 80-89

- 90-99

1. The median is always affected by extreme outliers in a dataset.

2. A box plot effectively displays the mean, median, and mode of a dataset.

1. A researcher is studying the average sleep hours of teenagers. They collect data from 50 students. Discuss why the choice of measure of central tendency (mean, median, or mode) is important for this study, considering potential outliers.