Mean, Median, Mode

Front

What is the definition of mean in statistics?

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 observations, 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

What is the formula for calculating the mean?

Back

Mean = (Sum of all values) / (Number of values)

Front

If a data set has the values 2, 3, 3, 5, 7, what is the mode?

Back

The mode is 3, as it appears most frequently.

Front

What is the median of the following data set: 8, 3, 5, 12, 7?

Back

First, arrange the data in order: 3, 5, 7, 8, 12. The median is 7.

Front

How does the presence of outliers affect the mean?

Back

Outliers can significantly skew the mean, making it higher or lower than the central tendency of the majority 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.

Front

What is the median of an even set of numbers: 4, 1, 7, 8?

Back

First, arrange the numbers: 1, 4, 7, 8. The median is (4 + 7) / 2 = 5.5.

Front

What is the mean of the following numbers: 10, 20, 30, 40?

Back

Mean = (10 + 20 + 30 + 40) / 4 = 25.