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.
If the arithmetic mean of 6, 8, 5, 7, x and 4 is 7, then x is | |||
| Right Option : A | |||
| View Explanation | |||
The mean of x, x + 3, x + 6, x + 9 and x + 12 is _______________ | |||
| Right Option : A | |||
| View Explanation | |||
Illustration: The marks obtained by 30 students of Class X of a certain school in a Mathematics paper consisting of 100 marks are presented in table below. Find the mean of the marks obtained by the students.
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| Right Option : C | |||||||||||||||||||||||||||||||
| View Explanation | |||||||||||||||||||||||||||||||
Students / Parents Reviews [10]
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