Measures of Central Tendency and Dispersion of Grouped Data

Measures of Central Tendency help us to relate numbers in a set of data to each other. For example, if the average student’s grade in your math class is an 81, we know that someone who has a grade of 97 is performing well ABOVE the average in that class. Amongst the following choices, which grade would represent a student performance that is considered well BELOW average?

• 80

• 75

• 77

• 62

The following data set represents the responses from students when they were asked how many siblings they had: 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 7 What is the average number of siblings for this set of students?

• About 2.6

• 6

• About 18

• About 2.4

Determine the value of x in the cumulative frequency table below.

• 10

• 11

• 12

• 13

Calculate the standard deviation for the following data.

• 2.928

• 4.848

• 5.148

• 6.227

What is the mode?

• The value that occurs the most often in a data set

• The middle number in an ordered set of data

• The sum of all the numbers in a data set divided by the size

• The sum of the between the greatest and the least elements, divided by two

A data set can have more than one _______

• Median

• Mode

• Mean

• Midrange

Which is the MIDDLE of an ordered set of data?

• Mean

• Median

• Mode

• Range

If you score 76, 85, 97, and 83 on your math tests, what would your median score be? 

• 84

• 90

• 85

• 88

Which is a synonym for "average?"

• mean

• median

• mode

• range

Tags

CCSS.RI.1.6

CCSS.RI.4.7

CCSS.RI.6.7

CCSS.RI.7.7

CCSS.RL.2.7

What measure of central tendency (mean, median or mode) would be best for the following set of data?

0, 89, 92, 97, 99, 100

• Mode, because it is the one that shows up the most.

• Median, because there is an outlier. The outlier would influence the mean too much.

• Mean, because you should always use the mean.

• There is not a best measure of central tendency for this data.