Standard Deviation Knowledge Check

Front

What does the symbol 'σ' represent in statistics?

Back

Standard Deviation

Front

What does standard deviation indicate about a data set?

Back

It measures how spread out each data value is from the mean.

Front

If two data sets have the same mean, how can you determine which set has values closer to the mean?

Back

The set with the lower standard deviation has values closer to the mean.

Front

How is standard deviation calculated for a data set?

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 this average.

Front

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

Back

6.89

Front

In a bowling scenario, if Bowler A has a standard deviation of 1 pin and Bowler B has a standard deviation of 3 pins, which bowler is more reliable to hit exactly 6 pins?

Back

Bowler A is more reliable.

Front

What is the relationship between variance and standard deviation?

Back

Standard deviation is the square root of variance.

Front

What does a standard deviation of 0 indicate about a data set?

Back

All data points are identical and there is no variability.

Front

How does increasing the spread of data points affect the standard deviation?

Back

Increasing the spread of data points increases the standard deviation.

Front

What is the empirical rule in relation to standard deviation?

Back

Approximately 68% of data falls within one standard deviation of the mean, 95% within two, and 99.7% within three.