# Statistics Model Questions Set 1 Practice Questions Answers Test With Solutions & More Shortcuts

#### STATISTICS PRACTICE TEST [1 - EXERCISES]

Question : 1

In Statistics, a suitable graph for representing the partitioning of total into subparts is

a) A pictograph

b) A histogram

c) An ogive

d) A pie chart

In statistics, a suitable graph for representing the partitioning of total into sub parts is a pie chart.

Question : 2

Consider the following statements in respect of a histogram:
I. The histogram consists of vertical rectangular bars with a common base such that there is no gap between consecutive bars.
II. The height of the rectangle is determined by the frequency of the class it represents.
Which of the statements given above is/are correct?

a) Only II

b) Both I and II

c) Only I

d) Neither I nor II

Statement I :

A graph which displays the data by using vertical bars of various heights in rectangular shapes to represent frequencies. Such that there is no gap between consecutive bars and also the height of the rectangle.

Statement II :

The height of the rectangle is determined by the frequency of the class it represents.

So, both the statements are correct.

Question : 3

The arithmetic mean of 10 numbers was computed as 7.6. It was later discovered that a number 8 was wrongly read as 3 during the computation. What should be the correct mean?

a) 7.6

b) 8.1

c) 7.1

d) 8.6

Correct A.M. = ${n \ov{x} - \text"(Sum of wrong observations) + (Sum of correct observations)"}/n$

= ${10 × 7.6 - 3 + 8}/{10} = {81}/{10}$ = 8.1

Question : 4

Read the following information and answer the four items that follow .Let the distribution of number of scooters of companies X and Y sold by 5 showrooms (A, B, C, D and E) in a certain year be denoted by S1 and the distribution of number of scooters of only company X sold by the five showrooms in the same year be denoted by S2

 Showroom A B C D E Total number of scooters sold S1 (in%) 19 21 15 33 12 6400 S2(in%) 24 18 20 30 8 3000
Number of scooters of company Y sold by showroom E is what per cent of the number of scooters of both companies sold by showroom C ?

a) 54

b) 55

c) 52

d) 56

No. of scooters of Y sold by E

= 12% × 6400 – 8% × 3600

= 528

No. of total scooters by showroom

c = 15% × 6400 = 960

Reqd. % = ${528}/{960}$ × 100 = 55%

Question : 5

Consider the following statements in respect of the set S = {1, 2, 3, ..., n}.
I. ${(n + 1)}/2$ is the median of the numbers in S.
II. n is the mode of the numbers in S.
Which of the above statements is/are correct?

a) Only II

b) Both I and II

c) Only I

d) Neither I nor II

S = {1, 2, 3, ..., n}

Statement I

Median : It is the middle term. So, ${n + 1}/2$ here it is not define n is even or odd.

Hence, we cannot say that ${n + 1}/2$ is median. It is not correct.

Mode : It is the value that appears most of ten in a set of data.

S = {1, 2, 3, ..., n}

Here, all elements in S have same frequency.

So, both the statements are not correct.

## Recently Added Subject & Categories For All Competitive Exams

#### Top Compound Interest MCQ Questions, PDF IBPS RRB CLERK

Important Compound Interest Questions and Detailed Answers, PDF for IBPS RRB CLERK. Aptitude Practice Test Series for all Banks, Govt and Competitive Exams

20-Sep-2024 by Careericons

#### Top 100+ Profit Loss MCQ Questions, PDF IBPS RRB CLERK

Important Profit Loss Questions and Detailed Answers, PDF for IBPS RRB CLERK. Aptitude Practice Test Series for all Banks, Govt and Competitive Exams

20-Sep-2024 by Careericons

#### Top 100+ Spelling Test MCQ Questions, PDF IBPS RRB CLERK

Important Spelling Test Questions and Detailed Answers, PDF for IBPS RRB CLERK. English Practice Test Series for all Banks, Govt and Competitive Exams

20-Sep-2024 by Careericons

#### Top One Word Substitution Questions, PDF IBPS RRB CLERK

Important One Word Substitution Questions and Detailed Answers, PDF for IBPS RRB CLERK. English Practice Test Series for Banks, Govt and Competitive Exams

20-Sep-2024 by Careericons