Mean, Median, Mode and Range

Front

What is the mean of a set of numbers?

Back

The mean is the average of a set of numbers, calculated by finding the sum of the numbers and then dividing by the total count of numbers.

Front

How do you calculate the mean of the numbers 5, 11, 2, 12, 4, 2?

Back

Add the numbers: 5 + 11 + 2 + 12 + 4 + 2 = 36. Then divide by the count of numbers (6): 36 / 6 = 6.

Front

What is the median in a data set?

Back

The median is the middle value when the numbers are arranged in ascending order. If there is an even number of values, the median is the average of the two middle numbers.

Front

How do you find the median of the following temperatures: 48°F, 65°F, 60°F, 45°F, 54°F, 64°F, 70°F, 45°F?

Back

First, arrange the temperatures in ascending order: 45°F, 45°F, 48°F, 54°F, 60°F, 64°F, 65°F, 70°F. Since there are 8 values (even), the median is the average of the 4th and 5th values: (54 + 60) / 2 = 57°F.

Front

What is the mode of a set of numbers?

Back

The mode is the number that appears most frequently in a data set. A set may have one mode, more than one mode, or no mode at all.

Front

Can a data set have more than one mode?

Back

Yes, a data set can have multiple modes if two or more numbers appear with the same highest frequency.

Front

What is the range of a set of numbers?

Back

The range is the difference between the highest and lowest values in a data set.

Front

How do you calculate the range of the numbers 4, 8, 12, 16, 20?

Back

Subtract the smallest number (4) from the largest number (20): 20 - 4 = 16. The range is 16.

Front

True or False: The mean can be influenced by extremely high or low values (outliers).

Back

True. Outliers can significantly affect the mean, making it higher or lower than the central tendency of the data.

Front

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

Back

In a normal distribution, the mean, median, and mode are all equal and located at the center of the distribution.