# Mean Median Mode Word Problems

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Mean is obtained by dividing the sum of all the values in a data set. Thus
Mean for the population data: µ=∑x/ N
Mean for the sample data:      x?=∑x/ n

Median is the middle value in an ordered array of numbers.

Mode is the most frequently occurring value.

Example: - The ages of all seven employees of a small company are:
53        32        61        53        39        44        57
Find the mean, median, and mode age of these employees.

Solution: - The population mean is,
µ=∑x/ N
= (53+32+61+53+39+44+57)/7
= 339/ 7
=48.43

First step is to find the median to arrange the data.
32, 39, 44, 53, 53, 57, 61

The population size is seven which is an odd number so the middle value will be the median.
32, 39, 44, 53, 53, 57, 61
So Median= 53

Mode is the most frequently occurring value in a set of data which means the value which contain the maximum frequency.
We can observe that here 53 has occur two times and all other value have occur only one time, So the maximum frequency of this data is two and the corresponding value of this frequency is 53.
Hence Mode=53

Other example could be the weight lost (in pounds) by a sample of five members of a health club at the end of two months of membership are
10        5          19        8          3
We can find Mean, Median and Mode of this data set.