Lesson 6 Homework PT 2 Measures of Spread

Front

What is the range of a data set?

Back

The range is the difference between the highest and lowest values in a data set.

Front

How do you calculate the range of the following data: 63, 71, 65, 66, 87, 53?

Back

Range = Highest value - Lowest value = 87 - 53 = 34.

Front

What does standard deviation measure?

Back

Standard deviation measures how spread out the data values are from the mean.

Front

If a data set has a standard deviation of 0, what does that indicate?

Back

A standard deviation of 0 indicates that there is no spread of data; all values are the same.

Front

Which set of data likely has points closest to the mean: Standard Deviation = 3.1, 4.9, 1.7, 3.2?

Back

Set 3 with Standard Deviation = 1.7 likely has points closest to the mean.

Front

What is the formula for calculating standard deviation?

Back

Standard Deviation (σ) = √(Σ(x - μ)² / N), where μ is the mean and N is the number of data points.

Front

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

Back

A higher standard deviation indicates that the data points are more spread out from the mean.

Front

What is the significance of the mean in a data set?

Back

The mean is the average of all data points and represents the central value.

Front

How do you find the mean of the data set: 7, 8, 10, 10, 11, 12, 13, 14, 14, 14?

Back

Mean = (7 + 8 + 10 + 10 + 11 + 12 + 13 + 14 + 14 + 14) / 10 = 11.

Front

What is the relationship between standard deviation and the normal distribution?

Back

In a normal distribution, about 68% of data falls within one standard deviation of the mean.