Find the mean, median, mode, and range of the data: 32, 34, 30, 35, 33, 31, 54. If necessary, round to the nearest tenth. Show your work.
30 31 32 -- 33 -- 34 35 54
median clearly is 33
mean = sum /7
mode - no value occurs more than any other
ranges from 30 to 54
To find the mean of a set of data, you add up all the numbers in the set and then divide that sum by the total number of values in the set.
The sum of the numbers is 32 + 34 + 30 + 35 + 33 + 31 + 54 = 249.
The total number of values in the set is 7.
So, the mean of the data is 249 ÷ 7 = 35.6 (rounded to the nearest tenth).
To find the median of a set of data, you first need to order the numbers in the set from smallest to largest. In this case, the numbers in order are: 30, 31, 32, 33, 34, 35, 54.
Since the total number of values is odd (7), the median is the middle value. In this case, the middle value is 33.
To find the mode of a set of data, you look for the value(s) that appear most frequently. In this set, all the values occur only once, so there is no mode.
Finally, to find the range of a set of data, you subtract the smallest value in the set from the largest value.
The smallest value in the set is 30 and the largest value is 54.
So, the range of the data is 54 - 30 = 24.