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.
Mean of a set of observations is the value which ____________________ | |||
Right Option : C | |||
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The mean of 8, 11, 6, 14, x and 13 is 16. Find the value of the observation x. | |||
Right Option : C | |||
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If each entry of a data is increased by 5, then the arithmetic mean ____________________ | |||
Right Option : B | |||
View Explanation |
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