Measures of Variability and Central Tendency

It is the middle number when the number in a set is of data is arranged?

• mean

• median

• mode

Which decile represents the median of the data set?

• D₁

• D₃

• D₅

• D₇

Classify as measures of central tendency, variability or position.

(a)  

Classify as measures of central tendency, variability or position.

"standard deviation"

(a)  

Match the following from the data set:

• 20

• Range

• 21

• Mode

• 16

• Mean

• 15

• Median

The mean age of all volunteers at Children’s Hospital is 25, and the MAD for the ages is 4. The mean age of all volunteers at County Hospital is also 25, but the MAD is 6. If there are about the same number of volunteers at both hospitals, which statement comparing the data sets is most likely true?

• The average age of a County Hospital volunteer is less than the average age of a Children’s Hospital volunteer.

• The ages of the County Hospital volunteers are less variable.

• The ages of the County Hospital volunteers are more variable.

• The ages of volunteers at both hospitals are equally variable.

The ​ ​​ (a)   is found by adding all numbers in a set and dividing by how many numbers there are.

The ​ ​ (b)   is found by subtracting the highest and lowest.

The ​ (c)   is the number(s) that occurs the most often.

The ​ (d)   is the middle number.

• mean

• range

• mode

• median

• lower quartile

• upper quartile

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

If I use median for the center, I will use __________________ for variability.

• Mean Absolute Deviation

• Interquartile Range

The data below shows the scores of two groups of ten students on a math quiz and a science quiz. Math: 72, 92, 88, 67, 54, 58, 64, 76, 65, 72 Science: 84, 78, 56, 89, 54, 68, 75, 78, 84, 60 Based on the data, which statements are true?

• The median score was greater for math, but the variability was greater for science.

• The median score was greater for science, but the variability was greater for math.

• Both the median score and variability for the math scores are less than that of the science scores.

• Both the median score and variability of the math scores are greater than that of the science scores.

• The range for science is less than the range for math.