Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### High School Mathematics14.20 Arithmetic Mean of Discrete Values

Arithmetic Mean (A.M.)
Arithmetic Mean better known as average is the most commonly used measure of central tendency.

The mean of the n observations x1,x2,x3,x4........,xn is x where
x = x1,x2,x3,x4........,xn/n
Using the summation notation, the arithmetic mean of n observations x1,x2,x3,x4........,xn can be more simply expressed as

where x = Aritmetic mean
n = Number of observations
xi = ith observation of the variable x

= summation of all xi values

Example
• Find the mean of the following distribution :
 xi 12 13 14 15 16 17 18 fi 1 3 4 8 10 3 1
• Solution

Q 1: Find the value of p, if the mean of the following distribution is 20 :
 xi 15 17 19 20+p 23 fi 2 3 4 5p 6

2
1
4
5

Q 2: Find the arithmetic mean of the following distribution
 xi 10 15 20 25 30 35 40 fi 4 6 8 18 6 5 3

12.4
24.3
20.5
29.8

Q 3: If the mean of the following data is 18, find the missing frequency p.
 xi 10 15 20 25 fi 5 10 p 8

4
8
6
7

Q 4: Find the mean of first 10 odd natural numbers.
13
9
10
11

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!