10.4 - 10.5 Review

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Front

How do you calculate standard deviation?

Back

1. Find the mean of the data set. 2. Subtract the mean from each data point and square the result. 3. Find the average of these squared differences. 4. Take the square root of that average.

Front

What is Mean Absolute Deviation (MAD)?

Back

MAD is the average of the absolute differences between each data point and the mean of the data set. It measures the dispersion of a data set.

Front

How do you calculate Mean Absolute Deviation (MAD)?

Back

1. Find the mean of the data set. 2. Subtract the mean from each data point and take the absolute value of each result. 3. Find the average of these absolute differences.

Front

What is the interquartile range (IQR)?

Back

The interquartile range is a measure of statistical dispersion, calculated as the difference between the third quartile (Q3) and the first quartile (Q1). It represents the range of the middle 50% of the data.

Front

How do you find the interquartile range (IQR)?

Back

1. Arrange the data in ascending order. 2. Find Q1 (the median of the first half of the data) and Q3 (the median of the second half). 3. Subtract Q1 from Q3.

Front

What does a low standard deviation indicate about a data set?

Back

A low standard deviation indicates that the data points tend to be close to the mean, suggesting less variability.

Front

What does a high standard deviation indicate about a data set?

Back

A high standard deviation indicates that the data points are spread out over a wider range of values, suggesting more variability.

Front

Given the data set {5, 10, 7, 12, 0, 20, 15, 22, 8, 2}, what is the standard deviation?

Back

6.89

Front

Find the MAD of the following data sets: $29, $58, $15, $129, $75, $22.

Back

32.67