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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.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
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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