The standard deviation is a statistical tool that highlights the spread of a dataset in relation to its average value or mean. It's derived by calculating the square root of the variance, which is essentially the mean of the squared discrepancies from the mean. A small standard deviation is indicative of data points being closely clustered around the mean.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the standard deviation for the given sample … | Calculate the mean (average) of the data set: \(\frac{18+18+18+9+15+5+10+5+15}{9} = 12.555555555555… |
| None | Use the following grouped data set (and your calc… | Given the grouped data set, we are asked to calculate the sample standard deviation. The formula fo… |
| None | sample values. Also, compare the computed standar… | Given the frequency distribution table, we first calculate the midpoint of each interval. The midpo… |
| None | Below are the jersey numbers of 11 players random… | Given the jersey numbers of 11 players randomly selected from a football team: \(5, 34, 27, 60, 8, … |
| None | Listed below are the top 10 annual salaries (in m… | We are given the top 10 annual salaries (in millions of dollars) of TV personalities as follows: \(… |
| None | A certain group of test subjects had pulse rates … | Given that the mean pulse rate is 81.7 beats per minute and the standard deviation is 11.4 beats pe… |
| None | Listed below are foot lengths in inches for 11 ra… | The data given is foot lengths in inches for 11 randomly selected people. The smallest value is 9 a… |
| None | Listed below are prices in dollars for one night … | Sort the data in ascending order: 78, 79, 106, 108, 174, 180, 194, 278 |
| None | Listed below are the top 10 annual salaries (in m… | Given the top 10 annual salaries (in millions of dollars) of TV personalities are: 40, 39, 38, 32, … |
| None | Listed below are the top 10 annual salaries (in m… | The range of a set of data is the difference between the highest and lowest values in the set. |
| None | Below are the jersey numbers of 11 players random… | First, we arrange the data in ascending order: 9, 13, 15, 21, 25, 38, 45, 48, 65, 76, 77. |
| None | Find the standard deviation of the sampling distr… | Given that the standard deviation of the population, \(\sigma\), is 9 and the size of the samples, … |
| None | The mean score on a driving exam for a group of d… | Given that the mean score on a driving exam for a group of driver's education students is 76 points… |
| None | Find the standard deviation, $s$, of sample data … | First, calculate the class midpoints for each interval. The class midpoint is the average of the lo… |
| None | Part 1 of 2 Points: 0 of 3 Save Find the standard… | First, calculate the class midpoints for each interval. The class midpoint is the average of the lo… |
| None | Ten used trail bikes are randomly selected from a… | Ten used trail bikes are randomly selected from a bike shop, and the odometer reading of each (in m… |