IROVD - Comparing Data Sets (Lesson)

Comparing Data Sets

Statistics are important because we use them to compare data set and interpret their meaning.

Comparing Data Sets Practice

Mrs. Johnson and Mrs. Smith both teach Algebra I and are comparing their students' most recent test scores. Here are the scores for each class:

Mrs. Johnson: 85, 87, 89, 86, 74, 82, 86, 88, 87, 90, 82, 88, 87, 85

Mrs. Smith: 82, 99, 98, 76, 89, 91, 95, 72, 74, 90, 95, 94, 88, 87

1. Calculate the class average for Mrs. Johnson's class.

2. Calculate the class average for Mrs. Smith's class.

3. Calculate the range for Mrs. Johnson's class.

4. Calculate the range for Mrs. Smith's class.

5. Calculate the Mean Absolute Deviation for Mrs. Johnson's class.

6. Calculate the Mean Absolute Deviation for Mrs. Smith's class.

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Based on the data, we can tell that Mrs. Johnson and Mrs. Smith's classes have similar averages. However, Mrs. Smith's class has a higher Mean Absolute Deviation so her students' test scores were more spread out and less consistent. Even though Mrs. Smith's class has a higher average - the students in Mrs. Johnson's class showed more consistent knowledge!

1. John's average golf score is an 88 with a mean absolute deviation of 9.2. Avery's average golf score is an 86 with a mean absolute deviation of 2.5. If both boys are trying out for the golf team, which golfer should the coach chose? Why?

2. Lisa and Deborah's homework scores are below:

Lisa: 90, 95, 92, 91, 89, 95, 94, 93, 92, 89, 88, 87, 87, 88

Deborah: 100, 97, 72, 67, 98, 89, 92, 62, 100, 89, 90, 91, 73

a. Calculate Lisa's Mean Absolute Deviation:

b. Calculate Deborah's Mean Absolute Deviation:

c. Based on the Mean Absolute Deviation, which student had more consistent homework scores?

TO VIEW THE SOLUTIONS ONCE YOU HAVE PRACTICED, CLICK HERE. Links to an external site.

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