# Word problems that involve the Mean (II) Worksheet

Objective: I know how to solve word problems that involve the mean.

In statistics, mode, median and mean are typical values to represent a pool of numerical observations. They are calculated from the pool of observations.

Mode is the most common value among the given observations. For example, a person who sells ice creams might want to know which flavor is the most popular.

Median is the middle value, dividing the number of data into 2 halves. In other words, 50% of the observations is below the median and 50% of the observations is above the median.

Mean is the average of all the values. For example, a teacher may want to know the average marks of a test in his class.

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1) The mean of 15 numbers is 20. The mean of another 10 numbers is 15. What is the mean of all the 25 numbers?
Mean =

2) There are 20 students in a drama class. The mean age of 12 students is 18 years. The mean age of the remaining 8 students of the drama class is 23 years. What is the mean age of all the students in the drama class?
Mean =

3) The mean mass of 6 boxes is 45 kg. One of the boxes with a mass of 50 kg is removed. Calculate the new mean mass of the remaining boxes.
Mean mass = kg

4) The following is a set of numbers: 2, 5, 6, 13, 5, 21, 15, 5, 19, 22, 8
When a number is x is added to the set, the new mean is 12. Calculate the value of x.
x =

5) Given that a set of numbers = {5, 7, 8, 12, 6, 14, 11}.
When a number x is added to the above set, the new mean is 10. Calculate the value of x.
x =

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