What value best represents all the measures of center for the following data set?
48, 12, 11, 45, 48, 48, 43, 32
(1 point)
The value that best represents all the measures of center for this data set is 41.4.
Mean: Add all the numbers together and divide by the total number of values
= (48 + 12 + 11 + 45 + 48 + 48 + 43 + 32) / 8
= 287 / 8
= 35.875
Median: Arrange the numbers in order and find the middle value
11, 12, 32, 43, 45, 48, 48, 48
There are 8 numbers, so the median is the average of the two middle values
Median = (32 + 43) / 2
= 75 / 2
= 37.5
Mode: The number that appears most frequently in the data set
48
Since all three measures of center are different for this data set, the value that best represents all of them is an average of the three values:
(35.875 + 37.5 + 48) / 3
= 121.375 / 3
= 40.4583333
Rounded to one decimal place, the value that best represents all the measures of center for this data set is 41.4.