Mean, Median, Mode & Range

Front

What is the definition of the mean in 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 find the median of a data set?

Back

To find the median, you must first sort the data from least to greatest. If there is an odd number of values, the median is 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 is the range of a data set calculated?

Back

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

Front

What is the importance of sorting data when finding the median?

Back

Sorting data is crucial for accurately determining the median, as it ensures that the middle value is correctly identified.

Front

If a data set has no repeating numbers, what is the mode?

Back

If there are no repeating numbers in a data set, it is said to have no mode.

Front

What is the relationship between mean, median, and mode in a skewed distribution?

Back

In a skewed distribution, the mean is pulled in the direction of the skew, while the median remains in the center, and the mode is typically at the peak of the distribution.

Front

Can the mean be affected by outliers?

Back

Yes, the mean can be significantly affected by outliers, which are values that are much higher or lower than the rest of the data.

Front

What is a practical example of finding the mode?

Back

A practical example of finding the mode is determining the most common shoe size sold in a store.

Front

How do you calculate the mean of the following numbers: 4, 8, 6, 5, 3?

Back

To calculate the mean, add the numbers (4 + 8 + 6 + 5 + 3 = 26) and divide by the count of numbers (5). The mean is 26 / 5 = 5.2.