The mean or average of a number of observations is the sum of the value of all the observations divided by the total number of observations.
Definition: If are n values of a variable X , then the arithmetic mean or simply the mean of these values is denoted and is defined as
Here, the symbol denotes the sum .
In other words, the arithmetic mean of a set of observations is equal to their sum divided by the total number of observations.
Illustration 1: If the heights of 5 persons are 144 cm, 152 cm, 151 cm, 158 cm and 155 cm respectively. Find the mean height.
Solution: To calculate mean we will find the sum of observations and divide it with number of observations
Illustration 2: The mean of 6, 10, X and 12 is 8. Find the value of x.
Solution: Using the definition
So , the value of x is 4.
The mean of the data : 9, 7, 11, 13, 2, 4, 5, 5 is _______________ | |||
Right Option : B | |||
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The daily sale of kerosene (in litres) in a ration shop for six days is as follows : 75, 120, 12, 50, 70.5 and 140.5. The average daily sale is _____________ | |||
Right Option : D | |||
View Explanation |
The mean of the data: 2.2, 10.2, 14.7, 5.9, 4.9, 11.1, 10.5 is ______________. | |||
Right Option : C | |||
View Explanation |
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