Question

step 6: take the positive square root of s² to get the standard deviation, s. s = √(1/(n - 1) ∑(x - x̄)²) use only the positive square root, because the standard deviation is a measure of distance from the mean. s = ___ the standard deviation is _. 7) practice. summarizing. list five facts about standard deviation. 1._ 2._ 3._ 4._ 5.___ 8) practice. summarizing. circle your answer: an outlier will (decrease/increase) the standard deviation of a data set.

Explanation:

1. Standard deviation measures data - spread.
2. It is the square - root of variance.
3. A low value indicates data is clustered around the mean.
4. A high value means data is more dispersed.
5. Outliers can greatly affect it as they increase the spread. An outlier will increase the standard deviation of a data set because it is a value far from the mean, which increases the sum of squared differences in the standard - deviation formula.

Answer:

1. Standard deviation measures the spread of a data - set.
2. It is the square root of the variance.
3. A small standard deviation implies data is clustered near the mean.
4. A large standard deviation implies data is more spread out.
5. Outliers tend to increase the standard deviation.
6. increase