Maths-
General
Easy
Question
A frequency distribution
has arithmetic mean 7.85, then missing term is
- 10 5
- 10 05
- 15 5
- 15
Hint:
We are given a frequency distribution. We are given the value of its arithmetic mean. We have to find the value of the missing term.
The correct answer is: 15
The formula of arithmetic mean is
![m space equals fraction numerator begin display style sum from i to n of end style x subscript i f subscript i over denominator N end fraction](data:image/png;base64,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)
Here xi is the quantity whose frequency we measure.
f is the frequency of that quantity.
N is sum of all the frequencies. Here it means total number of workers.
![stack sum x subscript i with i below and n on top f subscript i space end subscript equals 5 space cross times space 10 space plus space 6 space cross times space x space plus space 7 space cross times space 13 space plus space 10 space cross times space 8 space plus space 12 space cross times space 5 space plus space 15 space cross times space 4
space space space space space space space space space space space space equals space 50 space plus space 6 x space plus space 91 space plus space 80 space plus space 60 space plus space 60
space space space space space space space space space space space space equals space 341 space plus space 6 x](data:image/png;base64,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N = 10 + x + 13 + 8 + 5 + 4
= 40 + x
We are given m = 7.85
Now, we will substitute all the values and find the answer.
![m space equals space fraction numerator begin display style stack sum f subscript i with i below and n on top end style x subscript i over denominator N end fraction
7.85 equals space fraction numerator 341 space plus space 6 x over denominator 40 space plus space x end fraction
7.85 left parenthesis 40 space plus space x right parenthesis space equals space 341 space plus space 6 x
314 space plus space 7.85 x space equals space 341 space plus space 6 x
space space 7.85 x space minus space 6 x space equals space 341 space minus space 314
space space space space space space space space space space space 1.85 x space equals 27
D i v i d i n g space b o t h space t h e space s i d e s space b y space 1.85
space space space space space space space space space space space space space space x space equals space fraction numerator 27 over denominator 1.85 end fraction space space
space space space space space space space space space space space space space space space space space space space equals space 14.59
space space space space space space space space space space space space space space space space space space space almost equal to 15
space space space space space space space space space space space space space space 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)
So, the missing term is 15.
For such questions, we need the the formula for arithmetic mean.
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The missing frequencies are
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and ![17 over 12](data:image/png;base64,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)
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and ![17 over 12](data:image/png;base64,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)
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Maths-
Which point represents (-3,2)
![](data:image/png;base64,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)
Which point represents (-3,2)
![](data:image/png;base64,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)
Maths-General
Maths-
Which of the following is the equation for distance between two points.
Which of the following is the equation for distance between two points.
Maths-General
Maths-
Find the volume of triangular prison of length 15 cm and base area 6 cm2.
Find the volume of triangular prison of length 15 cm and base area 6 cm2.
Maths-General
Maths-
Find the distance between A and B
![](data:image/png;base64,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)
Find the distance between A and B
![](data:image/png;base64,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)
Maths-General
Maths-
Evaluate: ![2 x plus 3 y text for end text x equals left parenthesis negative 1 right parenthesis text and end text y equals 3](data:image/png;base64,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)
Evaluate: ![2 x plus 3 y text for end text x equals left parenthesis negative 1 right parenthesis text and end text y equals 3](data:image/png;base64,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)
Maths-General
Maths-
What is the mean absolute value for first 5 natural numbers.
What is the mean absolute value for first 5 natural numbers.
Maths-General
Maths-
Length and width of a rectangle are 3 m and 4 m respectively find it's area and Perimetu.
Length and width of a rectangle are 3 m and 4 m respectively find it's area and Perimetu.
Maths-General