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Given the Mean, find the missing number(s) in a set

Related Topics: More Statistics Worksheets

Objective: I know how to use the mean to find the missing number(s) in a set.

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) Find the value of x in each of the following sets of observations:
a) 45, 62, 72, x, 59, 62; Mean = 61
x =
b) –3, 10, 22, x, 28; Mean = 19
x =
c) 3.4, –2.2, 1, x, 5.2, 6.6; Mean = 4.2
x =

2) Given that the mean for the numbers 3, x, x, 8 and 5 is 10.
Find the value of x.
x =

3) Given that the mean of the numbers 2, 3, x + 1, 2 and x is 4.
Find the value of x
x =

4) The mean of the set of numbers 6, 3, x, 4, 3, 5, y is given as 5.
Find the value of x + y.
x + y =

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