Statistics Center/Spread and Standard Deviation

If we use the mean to measure the typical value or center of the data, we would use the _________ to measure the variability.

• IQR

• Median

• Mean

• Standard Deviation

The two measures of center we've study this unit are...

• Interquartile Range

• Mean Absolute Deviation

• Mean

• Median

• Standard Deviation

Interquartile Range or IQR is a measure of variability and helps determine the spread of the data.

• True

• False

A typical value is found by using either the...

• MAD

• Mean

• Standard Deviation

• Median

Standard Deviation is a measure of spread, which represents the average of the distance between individual data values and the mean.

• True

• False

Analyze the data sets. Data Set A has a higher standard deviation.

• True

• False

The graph represents the participation grade for a sample of 246 students in an introductory college course.

What is the best measure of center and spread for this distribution?

• Mean and Standard Deviation

• Mean and IQR

• Median and Standard Deviation

• Median and IQR

Which of the following would be considered the most spread out?

• Standard Deviation of 10.5

• Standard Deviation of 3

• Standard Deviation of -3

• Standard Deviation of -15

Ms. Parker determined that the mean test score in her first-period class was 81 with a standard deviation of 7.06. The mean test score in her second-period class was 88 with a standard deviation of 8.24. Which conclusion can be made about her students’ test scores?

• Period 2 had scores that were less spread out around the mean than Period 1.

• Period 1 had scores that were less spread out around the mean than Period 2.

• Period 2 had scores that were less spread out around the median than Period 1.

• Period 1 had scores that were less spread out around the median than Period 2.

A class scored 83,83,87,87,88,88,91,94,95,96,98,100,100 on a test, but then a student scored a 28.

The mean will ​ (a)  

The median will ​ (b)  

The ​ (c)   is the best measure of center for this data.

• decrease

• increase

• stay the same

• go up

• go down

• median

• mean