# Word problems that involve the Mean (I) 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) When a number x is added to the set of numbers 5, 7, 8, 12, 6, 10 and 11; the new mean is 9.
Calculate the value of x.
x =

2) The mean height of the 30 children in a room is 76 cm. James, whose height is 107 cm went into the room.
What is the new mean of the height of the children in the room?
Mean height = cm

3) The mean of a set of 10 numbers is 60. When a number x is added to the set, the mean is changed to 65.
Find the value of x.
x =

4) The mean of a set of 12 numbers is 65. When a number y is removed from the set, the mean is changed to 63.
Find the value of y.
y =

5) The mean weight of a group of 15 athletes was 60 kg. Two athletes whose weights were 68kg and 65 kg left the group.
What is the new mean weight of the remaining athletes in the group?
Mean weight = kg

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