Measures of Center

Front

What is the mean of a set of numbers?

Back

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

Front

How do you find the median of a set of numbers?

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 happens to the mean when a new number is added to the set?

Back

The mean will change based on the value of the new number. If the new number is higher than the current mean, the mean will increase; if it is lower, the mean will decrease.

Front

What is the median of the following numbers: 12, 30, 19, 27, 21, 35?

Back

The median is 24, found by arranging the numbers in order (12, 19, 21, 27, 30, 35) and taking the average of the two middle numbers.

Front

If the mean of a set is 24 and you add 17, what is the new mean?

Back

The new mean is 23, calculated by adding the total of the original set and the new number, then dividing by the new total count.

Front

What is the definition of mode in a data set?

Back

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

Front

How do you calculate the mean of the numbers 28, 40, 53, 39, 45?

Back

Add the numbers (28 + 40 + 53 + 39 + 45 = 205) and divide by the count (5), resulting in a mean of 41.

Front

What is the median of the following numbers: 40, 49, 62, 56, 68, 39, 50, 61, 54, 44?

Back

The median is 52, found by arranging the numbers in order and taking the average of the two middle numbers.

Front

What is the effect of adding a number that is less than the current median?

Back

Adding a number less than the current median may lower the median, depending on the overall distribution of the numbers.

Front

What is the median of the following set: 31, 48, 50, 23, 28, 52, 57, 38, 56, 27?

Back

The median is 38, found by arranging the numbers in order and identifying the middle value.