Question

understanding standard deviation: a 12th - grade worksheet
standard deviation is a measure of how spread out numbers are in a data set. it helps us understand how much the values in a group differ from the mean (average) value. a small standard deviation means the values are close to the mean, while a large standard deviation means the values are more spread out. standard deviation is important in statistics because it gives us insight into the consistency or variability of data.
fill in the blank: fill in the blank with the correct words.

1. the standard deviation measures how much the values in a data set ____________ from the mean.
2. if the standard deviation is small, the data points are ____________ to the mean.
3. the formula for standard deviation involves finding the ____________ of the squared differences from the mean.
4. a large standard deviation means the data is more ____________ out.
5. the standard deviation is always a ____________ number.

word bank: spread, positive, deviation, close, average

Explanation:

1. Standard deviation measures deviation from the mean.
2. Small standard deviation implies data - points are close to the mean.
3. The formula for standard deviation involves finding the average of squared differences from the mean.
4. A large standard deviation means data is more spread out.
5. Standard deviation is always a non - negative number (in this context, positive considering non - zero spread cases mainly as zero is a special case), so we use positive from the word bank.

Answer:

1. deviation
2. close
3. average
4. spread
5. positive