Question

16. If the arithmetic mean of 20 values is 10, then sum of these 20
values is:
(a) 10
(b) 20
(sj 200
(d) 30​

Answer 1

Answer:

200

Step-by-step explanation:

Arithmetic Mean =

Sum of the terms/No. of terms

10 = Sum of the terms/20

10×20 = Sum of the terms

Sum of the terms = 200

Answer 2

If the arithmetic mean of 20 values is 10, then sum of these 20 is 200.

MEAN or AVERAGE

A mean is defined as the mathematical average of the set of two or more data values. Mean is simply a method of describing the average of the sample. It is mainly used in Statistics, and it is applied for any distribution such as geometric, binomial, Poisson distribution, and so on.

Means of Different Types

In statistics,  three main sorts of mean values are :

• Arithmetic Mean
• Geometric Mean
• Harmonic Mean

Arithmetic Mean

Arithmetic Mean is the result of adding all the values and dividing by the number of values. To calculate, add all of the given numbers together and divide by the number of numbers given.

Geometric Mean

The geometric mean of two numbers x and y is x y. If you have three numbers x, y, and z, their geometric mean is 3xyz.

Geometric Mean =  $\sqrt[n]{x_{1} x_{2} x_{3} \ldots x_{n}}$

Harmonic Mean

The harmonic mean is used to average ratios. For two numbers x and y, the harmonic mean is 2 x y( x +y). For, three numbers x, y, and z, the harmonic mean is 3 x y z(x y+ x z + y z)

Harmonic Mean (H)     $=\frac{n}{\frac{1}{x_{1}}+\frac{1}{x_{2}}+\frac{1}{x_{2}}+\frac{1}{x_{3}}+\ldots \ldots \frac{1}{x_{n}}}$

Given situation is of Arithmetic mean

so  sum = no. of values × mean of values

     sum =  20  ×  10

     sum = 200

Thus, If the arithmetic mean of 20 values is 10, then sum of these 20 is 200.

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