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.
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 | |||||||||||||||||||||||||||||||
The average age of 30 students of a class is 12 years. Out of the 30 students, the average age of a group of 5 students is 10 years, and that of another group of 5 students is 14 years, What is the average age of the remaining students? | |||
| Right Option : C | |||
| View Explanation | |||
The mean of 10 observation is 25. If one observation, namely 25, is deleted, the new mean is ______________ | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [20]
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