The ages, in years, of randomly selected employees are 34, 41, 28, 35, 27, 44, 29, 33, 41, and 39.
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(4 points)
*To solve for measures of center, we first need to reorder the numbers on paper from LEAST to GREATEST.
*Count the values in the problem to make sure you have the same number of values on your ordered list.
1)To find the RANGE, we will subtract the highest value - the lowest value.
Range =
2)To find the MEDIAN, we will find the center value. If there are 2 center values, you must find the mean of the 2 center values.
MEDIAN =
3)To find the MODE, we will find the value that repeats the most.
MODE =
4)To find the MEAN, we will add up the values and divide by the number of data points.
MEAN =
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Range = 44 - 27 = 17
To find the median, we first need to reorder the numbers:
27, 28, 29, 33, 34, 35, 39, 41, 41, 44
Since there are 10 values, the median will be the average of the 5th and 6th values:
(34 + 35) / 2 = 34.5
The mode is the number that appears most frequently, which is 41.
To find the mean, we add up all the values and divide by the number of data points:
(27 + 28 + 29 + 33 + 34 + 35 + 39 + 41 + 41 + 44) / 10 = 35
Therefore,
Range = 17
Median = 34.5
Mode = 41
Mean = 35