The ages, in years, of randomly selected employees are 34, 41, 28, 35, 27, 44, 29, 33, 41, and 39.
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 =
1) Range = 44 - 27 = 17
2) To find the median, we first order the ages:
27, 28, 29, 33, 34, 35, 39, 41, 41, 44
Since there are 10 values, the two center values are the 5th and 6th values, which are 34 and 35. Therefore, the median is (34 + 35) / 2 = 34.5
3) Mode = There are no values that repeat, so there is no mode.
4) Mean = (27 + 28 + 29 + 33 + 34 + 35 + 39 + 41 + 41 + 44) / 10 = 351 / 10 = 35.1
Therefore, the measures of center are:
Range = 17
Median = 34.5
Mode = None
Mean = 35.1