find the mean of the following data set:
20, 30, 32, 16, 31, 32, 13, 20, 28, 32, 15, 18, 20, 21, 32
The mean can be found by adding up all the numbers and dividing by the total number of numbers:
(20 + 30 + 32 + 16 + 31 + 32 + 13 + 20 + 28 + 32 + 15 + 18 + 20 + 21 + 32) / 15 =
408 / 15 =
27.2
Therefore, the mean of this data set is 27.2.
To find the mean of a data set, you need to sum up all the values and then divide the sum by the number of values.
Let's calculate the mean step-by-step:
1. Add up all the values in the data set:
20 + 30 + 32 + 16 + 31 + 32 + 13 + 20 + 28 + 32 + 15 + 18 + 20 + 21 + 32 = 380
2. Count the number of values in the data set:
There are 15 values in the data set.
3. Divide the sum by the number of values:
380 รท 15 = 25.33333333333333 (rounded to 2 decimal places)
Therefore, the mean of the given data set is approximately 25.33.