Mean, Median, Mode, Range, Weighted Averages

Front

What is the mean of a data set?

Back

The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the count of numbers.

Front

How do you calculate the median of a data set?

Back

To find the median, arrange the numbers in ascending order and identify the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Front

What is the mode of a data set?

Back

The mode is the number that appears most frequently in a data set.

Front

How do you find the range of a data set?

Back

The range is calculated by subtracting the smallest number in the data set from the largest number.

Front

What is a weighted average?

Back

A weighted average takes into account the relative importance of each value, calculated by multiplying each value by its weight, summing these products, and then dividing by the total of the weights.

Front

Calculate the mean of the following grades: 100, 96, 96, 88, 70, 100.

Back

Mean = (100 + 96 + 96 + 88 + 70 + 100) / 6 = 92.

Front

Given the data set 12, 5, 8, 3, 10, 7, 2, what is the range?

Back

Range = 12 - 2 = 10.

Front

Identify the mode of the following data set: 45, 56, 56, 72, 89, 90, 100.

Back

Mode = 56.

Front

What is the formula for calculating a weighted average?

Back

Weighted Average = (Σ(value * weight)) / Σ(weight).

Front

If the test average is [65, 75, 82, 88, 95] and the final exam grade is 88, how do you calculate the weighted average?

Back

Weighted Average = (Test Average Total + Final Exam Grade) / Total Number of Grades.