Quiz about Statistics

Question 1

If $$\bar{x}$$ represents the mean of $$n$$ observations $$x_{1},x_2\cdots, x_n $$, 
then value of ![](http://admin.getprephub.com/media/editor/2838_20220110191250612763.png)

Accepted Answer

Covalent bond

Answer

$$0$$

Answer

$$-1$$

Answer

$$1$$

Answer

$$n-1$$

Question 2

If each observation of the data is increased by $$5$$ , then their mean

Accepted Answer

Covalent bond

Answer

is increased by $$5 $$

Answer

remains the same.

Answer

becomes $$5$$ times the original mean.

Answer

is decreased by $$5 .$$

Question 3

Let $$\bar{x}$$ be the mean of $$x_1, x_2, \ldots, x_n$$ and $$\bar{y}$$ the mean of $$y_1, y_2, \ldots, y_n .$$ If $$\bar{z}$$ is the mean of $$x_1, x_2, \ldots, x_n $$
$$y_1,y_2, \ldots, y_n$$, then $$\bar{z}$$ is equal to

Accepted Answer

Covalent bond

Answer

$$\frac{(\bar{x}+\bar{y})}{2}$$

Answer

$$\bar{x}+\bar{y}$$

Answer

$$\frac{(\bar{x}+\bar{y})}{n}$$

Answer

$$\frac{(\bar{x}+\bar{y})}{2 n}$$

Question 4

The mean of $$100$$ observations is $$50 $$. If one of the observations which were $$50$$ is replaced by $$150 $$, the resulting mean will be

Accepted Answer

Covalent bond

Answer

$$51 $$

Answer

$$50.5 $$

Answer

$$51.5$$

Answer

$$52$$

Question 5

Sum of all values of variable divided by the number of values is called the __

Accepted Answer

Covalent bond

Answer

arithematic mean

Answer

arithematic median

Statistics Gseb Class 9 Maths Problems and Solutions

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