Mean of Ungrouped Data
Mean of Un-grouped Data
Mean of Un-grouped Data:
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 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 average weight of sample of 10 apples is 52 g. Later it was found that the weighing machine had shown the correct average apple 10g less. The correct average weight of an apple is | |||
| Right Option : A | |||
| View Explanation | |||
The mean of five numbers is 27. If one of the numbers is excluded the mean gets reduced by 2. The excluded number is ___________ | |||
| Right Option : A | |||
| View Explanation | |||
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