Understanding Averages: Mean, Median, and Mode

What is the arithmetic mean of the numbers 2, 3, 3, 3, 4, 4, and 10?

• 4.5

• 4.71

• 4

• 4.14

Which of the following best describes the median?

• The most frequently occurring number

• The largest number in the set

• The sum of all numbers divided by the count of numbers

• The middle number in a sorted list

If a data set has an even number of elements, how is the median determined?

• By taking the average of the two middle numbers

• By choosing the smallest number

• By selecting the largest number

• By finding the most frequent number

How does an outlier affect the arithmetic mean?

• It can skew the mean significantly

• It makes the mean equal to the median

• It has no effect

• It reduces the mean to zero

Why might the median be preferred over the mean in some cases?

• Because it is easier to calculate

• Because it is always smaller

• Because it is less affected by outliers

• Because it is always larger

What is the mode of the data set 2, 3, 3, 3, 4, 4, 10?

• 4

• 3

• 10

• 2

In which scenario does the mode lose its meaning?

• When all numbers are different

• When there are multiple modes

• When all numbers are the same

• When all numbers are equally frequent

What is the primary purpose of calculating an average?

• To find the largest number

• To represent a data set with a single number

• To sort the data set

• To eliminate outliers

Which type of average is most commonly used?

• Geometric Mean

• Arithmetic Mean

• Mode

• Median

When might the median be a better choice than the mean?

• When the data set is perfectly symmetrical

• When the data set is very large

• When the data set has outliers

• When the data set is very small