Descriptive Statistics Test 42

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Descriptive Statistics Test 42

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Weekly Quiz Competition

Question 1
1 / -0

Choose the correct answer from the alternatives given :
Directions for questions 71 to 75: The graph shows the production of wheat in different years of a particular State
The percentage increase in production of wheat from 1997-1998 is

A
$$100\%$$

B
$$150\%$$

C
$$90\%$$

D
$$120\%$$
Question 2
1 / -0

Choose the correct answers from the alternatives given.
Directions for question 71 to 73: Study the following bar chart and answer the questions based on it.
The histogram below shows the marks of 50 students in an examination. Examine the diagram and answer the questions.
How many students obtained less than 40 marks?

A
5

B
2

C
6

D
4

Solution

Number of students who obtained less than $$40 \ marks\ =4 + 1 = 5$$
Question 3
1 / -0

_______ of data refers to the table where data are classified on the basis of single characteristics.

A
Complex Tabulation

B
Reference Tabulation

C
Simple Tabulation

D
Specific Tabulation
Question 4
1 / -0

Choose the correct answer from the alternatives given.
Directions for questions 71 to 75: Study the following bar-graph and answer the questions.
What is the ratio of highest consumption in the year $$ 2012$$ and $$2013$$ respectively?

A
7:6

B
6:7

C
7:2

D
14:11

Solution

$$\Rightarrow$$ In given bar graph we can see
Highest consumption of $$ 2012$$ = $$700$$
Highest consumption of $$2013 $$= $$550$$
Required ratio = $$700 : 550 = 14 : 11$$
Question 5
1 / -0

Consider the following statements:
(1) Mean is independent of change in scale and change in origin
(2) Variance is independent of change in scale but not in origin
Which of the above statements is/are correct?

A
1 only

B
2 only

C
Both 1 and 2

D
Neither 1 nor 2

Solution

Mean changes with changes in origin as if $$x$$ is added to all the value, $$nx$$ is added to total value and then, divided by $$n$$ to get an addition of $$x$$.
Variance is independent to the choice of origin as variance is $$(a-\overline{a})^2$$ which negates the addition in observation value and the mean as shown above.
Hence, answer is neither 1 nor 2.
Question 6
1 / -0

Study the following information carefully and answer the questions given below.
The sub divided bar diagram given below depicts the result of Class XII students of a school for three years.
The number of students passed with third class in the year $$2002$$ is

A
$$130$$

B
$$10$$

C
$$140$$

D
$$20$$

Solution

Number of students passed with third class in the year $$2001$$ is $$140 - 130 = 10$$
Question 7
1 / -0

Study the following information carefully and answer the questions given below.
The sub divided bar diagram given below depicts the result of Class XII students of a school for three years.
The number of students passed with second class in the year $$2002$$ is

A
$$80$$

B
$$130$$

C
$$50$$

D
$$100$$

Solution

Number of students passed with second class in the year $$2002$$ is $$130-80 = 50$$
Question 8
1 / -0

Consider the following statements:
$$1.$$ Variance is unaffected by change of origin and change of scale.
$$2.$$ Coefficient of variance is independent of the unit of observations.
Which of the statements given above is/ are correct?

A
$$1$$ only

B
$$2$$ only

C
Both $$1$$ and $$2$$

D
Neither $$1$$ nor $$2$$

Solution

Variance is independent of change of origin as the change in origin is uniformly added to all the values and hence the mean also and hence, when $$(x-\overline{x})^2$$ is calculated, it remains unaffected. But, change of scale alters all values unevenly and hence, variation changes.
The coefficient of variance is standard deviation by mean which doesn't depend on the unit of observation.
So, Statement 1 is incorrect Statement 2 is correct
Question 9
1 / -0

The coefficient of correlation when coefficients of regression are $$0.2$$ and $$1.8$$ is

A
$$0.36$$

B
$$0.2$$

C
$$0.6$$

D
$$0.9$$

Solution

$$Given\quad { b }_{ xy }=0.2\\ { b }_{ yx }=0.8\\ r=\sqrt { { b }_{ xy }\times { b }_{ yx } } \\ r=\sqrt { 0.36 } \\ r=0.6$$
Where r is coefficient of correlation.
Question 10
1 / -0

"An average is a value which is typical or representative of a set of data". This definition is given by.

A
Croxton and Cowden

B
Simpson and Kafka

C
Clark and Sekkade

D
Murry R. Spiegal