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Arithmetic Mean - Special Property and W...
Arithmetic Mean - Special Property and Weighted Mean
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Applied Mathematics
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REVISE WITH CONCEPTS
Arithmetic Mean of Infinite Series and Weighted AM
Example
Definitions
Formulaes
Arithmetic Mean : Grouped Data
Example
Definitions
Formulaes
QUICK SUMMARY WITH STORIES
Weighted Mean
3 mins read
Mean of grouped data by Direct method
3 mins read
Mean of grouped data by Assumed mean method
3 mins read
Step deviation method for Grouped Data
4 mins read
Important Questions
Height of students of Class
$X$
are given in the following frequency distribution:
Height (in cm)
$150−155$
$155−160$
$160−165$
$165−170$
$170−175$
Number of students
$15$
$8$
$20$
$12$
$5$
Find the modal height. Also, find the mean height, Compare and interpret the two measures of central tendency.
Medium
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>
If
$xˉ$
represents the mean of n observations
$x_{1},x_{2},...,x_{n}$
then value of
$∑_{i=1}(x_{i}−xˉ)$
is :
Medium
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>
If the mean of first
$n$
natural numbers is
$95n $
, then
$n=$
Easy
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>
Find the mean of children per family from data given below:
No. of children
$0$
$1$
$2$
$3$
$4$
$5$
No. of families
$5$
$11$
$25$
$12$
$5$
$2$
Medium
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>
If each observation of the data is increased by
$5,$
then their mean :
Medium
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>
If the mean of
$10,12,18,13,P$
and
$17$
is
$15$
, find the value of P
Easy
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>
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Medium
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>
An aircraft has 120 passenger seats. The number of seats occupied during 100 fights is given below :
No. of seats
100-104
104-108
108-112
112-116
116-120
Frequency
15
20
32
18
15
Determine the mean of seats occupied over the flights
Medium
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>
In a class of
$100$
students there are
$70$
boys whose average marks in a subject are
$75$
. If the average marks of the complete class is
$72$
, then what is the average of the girls?
Medium
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>
Find the arithmetic mean of the progression
$2,4,6,8,10.$
Medium
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>