Mean, Median, Mode, and Range
Formulas for
Sample Statistics
Normal Distribution
68-95-99.7 Rule
Scales of Measurement
Sample
Standard Deviation and Variance
100

Find the mean of the following set of data: 13, 23, 21, 20, 21, 24, 18

What is the mean is 20?

100

Explain each step that you would use to find the mean.

What is 1.) Add all data values 2.) Divide by the sample size (amount of numbers in your data set).

100

In a normal distribution, the percentage of the values that will lie within 1 standard deviation of the mean is __.

What is 68% ?

100

The number of passing yards thrown by a quarterback in football is an example of this level of measurement.

What is "ratio"?

100

Find the sample variance of the following set of data: 13, 23, 21, 20, 21, 24, 18

What is 13.3?

200

The mode in this data set is __. 10, 9, 4, 4, 8, 8, 8, 4, 7, 6, 11, 14, 27

What is bimodal, 4 and 8?

200

Explain each step to find the mode of a data set.

What is 1.) Find the most frequently occurring data value. 2.) If two values have the highest frequency, the data is bimodal, and you report both of them. 3.) If more than two values have the highest frequency, there is no mode.

200

In a normal distribution, the percentage of the values that will lie within 2 standard deviations of the mean is __.

What is 95% ?

200

This level of measurement has the properties of magnitude and equal intervals but not absolute 0.

What is "interval"? 

200

The sample standard deviation in this data set is __. 10, 9, 4, 4, 8, 8, 8, 4, 7, 6, 11, 14, 27

What is Sx is 6.08?

300

Find a possible missing value in the set of data if the range is 20. 14, 8, 17, 21, ____, 11, 3, 13

What is 1 or 23?

300

Explain the steps to find the median of a data set.

What is 1.) Put the data values in order from smallest to largest. 2.) Find the middle value, if the sample size is odd. 3.) If the sample size is even, find the average of the two middle values.

300

In a normal distribution, the percentage of the values that will lie within 3 standard deviations of the mean is __.

What is 99.7% ?

300

The rank order of classmates by GPA to determine valedictorian (ordered as 1st, 2nd, 3rd, etc.). 

What is "ordinal"? 

300

The sample standard deviation tells us _____ about the data.

What is the spread of the data, or average distance of the data from the mean?

400

Frank has 2 nickels, 3 dimes, and 5 quarters. Find the mean, median, mode and range of the values of Frank's coins.

What are: mean: 16.5 cents; median: 17.5 cents; mode: 25 cents; range: 20 cents

400

Explain the steps to find the sample variance of a data set.

What is 1.) Find the mean (divide the sum of the data by the sample size) 2.) Find the difference between each data value and the mean 3.) Square those differences 4.) Sum those squares of differences 5.) Divide that sum by (n-1), one less than the sample size

400

Given a normal distribution with mean 25 and standard deviation 7, the percentage of the data that will lie between 25 and 32 is __.

What is 34% ?

400
The two scales of measurement that have the property of equal intervals. 

What are interval and ratio?

400

Frank has 2 nickels, 3 dimes, and 5 quarters. Find the sample standard deviation of the values of Frank's coins.

What is Sx is 9.14?

500

Consider the given frequency table.  # miles run per week: Class1: 11-21-- frequency1=1; Class2: 22-32 -- frequency2=3; Class3: 33-43 -- frequency3=0; Class4: 44-54 -- frequency4=7; Class5: 55-65 -- frequency5=2.  The sample mean will be_____

What is 43.08 miles?

500

Explain the steps to find the sample standard deviation.

What is 1.) Find the mean (divide the sum of the data by the sample size) 2.) Find the difference between each data value and the mean 3.) Square those differences 4.) Sum those squares of differences 5.) Divide that sum by (n-1), one less than the sample size 6.) Take the square root of that value

500

Given a normal distribution with mean 25 and standard deviation 7, the Z-score associated with a score of 18 is __.

What is -1?

500

This level of measurement can be transformed into any of the others.

What is "ratio"? 

500

Consider the given frequency table.  # miles run per week: Class1: 11-21-- frequency1=1; Class2: 22-32 -- frequency2=3; Class3: 33-43 -- frequency3=0; Class4: 44-54 -- frequency4=7; Class5: 55-65 -- frequency5=2.  The sample standard deviation will be_____

What is Sx is 13.93 miles?