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Updated Comprehensive Statistics and Mathematics Chapterwise MCQs Test Bank Complete Exam Questions and Answers with Step-by-Step Solutions, Detailed Working, Formula Applications, Problem-Solving Techniques, Quantitative Reasoning, Probability and Algebr

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This updated comprehensive Statistics and Mathematics chapterwise MCQs test bank is designed to help students strengthen both mathematical and statistical skills through structured multiple-choice questions with detailed step-by-step solutions. It covers a wide range of topics including algebra, calculus, probability, statistics, numerical analysis, and applied mathematical concepts commonly tested in academic and competitive examinations. Each question is supported with clear explanations that guide learners through formulas, calculations, and logical reasoning, helping them understand not only the correct answers but also the methods used to reach them. The content is structured to improve problem-solving ability, analytical thinking, and accuracy in quantitative reasoning. It is aligned with current academic standards and is suitable for preparation across 2025–2026 and 2026–2027 academic cycles, including midterms, finals, coursework assessments, and competitive exams. This resource is ideal for students in mathematics, statistics, engineering, business, and science-related fields who want to improve exam performance, strengthen numerical skills, and gain confidence in solving structured quantitative problems efficiently and accurately.

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Institution
Statitics
Course
Statitics

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1
Prepared by: Dawood Shahid CA & CIMA Affiliate, CPA, MPhil, MBA, OCE
jl

, QM (PRC - 02)
Last Assignment
1300 Questions
For
March 2022
by
Sir Dawood Shahid



2
Prepared by: Dawood Shahid CA & CIMA Affiliate, CPA, MPhil, MBA, OCE
jl

, Last Assignment Mixed Questions of Al chapters F




1) Construction of frequency distribution: F




a) Helps in deleting the data
j l jl jl jl jl b) Begins by recording the numb
j l j l j l j l j l


er
of times a particular value occurs
jl jl jl jl jl


c) Is the only way to assess mode o
j l j l j l j l j l j l j l j l d) All of the above
j l jl jl jl


d population. jl



2) Which of the following is correct? F F F F F




a) Results of sampling enquiries or a
j l j l j l j l j l j l j b) The data which is
j l F F FF F




census is called raw data
l jl jl jl jl collected specifically for the ongoing jl FF F FF




investigation is called primary data jl jl jl jl


c) The data which is stored
j l F F F F F d) Both (a) and (b)
j l jl jl jl


after classification is called secondary jl jl jl jl jl


data
3) Which of the following is correct? F F F F F




a) Results of sampling enquiries or a
j l j l j l c j l j l j l b) The data which is
j l F F FF F




census is called raw data jl jl jl jl collected specifically for the ongoing jl FF F FF




investigation is called primary data jl jl jl jl


c) The data which is stored after
j ljl F F F F F d) Both (a) and (b)
j l jl jl jl


classification and summation is called s jl jl jl jl jl


econdary data jl



4) If a frequency distribution is skewed to the left (negatively skewed), then:
a) Mean<median>mode
j l b) Mean>median>mode
jljl


c) Mode>median> Mean
j l jl d) Arithmetic mean < geometric mea
j l j l j l j l j l


n
< harmonic mean
jl jl



5) Following is the data related to number of persons per house in a village town:
No. of persons per house
jl jl 1 2 3 4 5 jl jl 6 7 8 9 10
No. of houses
jl jl 25 114 120 90 50 41 20 12 3 2
The mean, median and modal number of persons per house are:
jl jl jl jl jl jl jl jl jl jl




a) 3.67, 3, 3
j l jl jl b) 3.62, 4, 5
jljl jl jl


c) 3.67, 3, 5
j ljl jl jl d) 3.42, 3, 3
jljl jl jl



6) Which of the following statement is CORRECT about the median?
a) The upper quartile is also called the median
F F F F F F F F




b) It is a measure of central tendency
F F F F F F F




c) It is middle value no matter the data is arranged in any order
F F F F F F F F F F F F F




3(n1)
d) The position of the median can be found by using the expression
F F



F F F F F F F F F F F F F




2
7)
Class boundary jl 10--12 12—14 14—16 16—18 18—20
Frequency 14 26 42 38 8
3
Prepared by: Dawood Shahid CA & CIMA Affiliate, CPA, MPhil, MBA, OCE jl

, The geometric mean of the above data is:
jl jl jl jl jl jl jl


a) 1.17 j l b) 14.53 jljl


c) 14.70 j ljl d) 14.87 j l



8) Which of the following statements is correct in respect of the equation? X+2Y+3=0
F F F F F F F F F F F F




a) The value of the intercept on the y-axis is 3
F jl jl jl jl jl jl jl jl jl


b) The value of the intercept on x-axis is –3
F jl jl jl jl jl jl jl jl


c) The slope of the line is 1
F jl jl jl jl jl jl


d) The degree of the equation is 0
F jl jl jl jl jl jl



9) If a negative slope line passes through a point (4,8) and x intercept is ¼ of the y-intercept. Find
F F F F F F F F F F F F F F F F F F F




equation of straight line F F F




a) 4x+y=24
j l b) 4x –y=24 j l jl jl


c) X+4y=24
j ljl d) X –4y=24 j l jl jl



10) Which of the following statements is correct in respect of the equation? 5X+2Y-10=0
F F F F F F F F F F F F




a) The value of the intercept on the y-axis is 2
F jl jl jl jl jl jl jl jl jl


b) The value of the intercept on x-axis is –5
F jl jl jl jl jl jl jl jl


c) The slope of the line is 2.5
F jl jl jl jl jl jl


d) The degree of the equation is 1
F jl jl jl jl jl jl



11) If in a frequency distribution, mode<median<mean then the frequency distribution is
F F F F F F F F F F




a) Symmetrical around the median
j l jl jl jl b) Symmetrical around the mean
j l jl jl jl


c) Skewed to left (negatively skewed)
jljl jl jl jl jl d) Skewed to right (positively skewed)
j l F F F jl




12) If a frequency distribution Skewed to left (negatively skewed), then
F F F F F F F F F




a) Mean<median<mode
j l b) Mean>median>mode
jljl


c) Mode>median>mean
j l d) Arithmetic mean < geometric mea
j l j l j l j l j l


n
< harmonic mean jl jl



13) If the peak of the histogram is in the middle and the frequencies on either side are similar to
F F F F F F F F F F F F F F F F F F




each other, the distribution is said to be (01 mark) F




a) Normal
j l b) Balanced jljl


c) Binomial
j ljl d) Symmetrical j l



14) Which of the following statements is correct?
F F F F F F




a) An Ogive is the graph of a cumulative frequency distribution
F jl jl jl jl jl jl jl jl jl


b) Median of a grouped frequency distribution can be found by constructing an Ogive
F jl jl jl jl jl jl jl jl jl jl jl jl


c)F




An Ogive is constructed by joining the mid points of the top of each rectangle hi
jl jl jl jl jl jl jl jl jl jl jl jl jl jl jl


stogram with straight lines jl jl jl


d) Both (a) and (b)
F jl jl jl



15) Which of the following statements is correct?
F F F F F F




a) A frequency polygon can be constructed by joining two symmetrical ogives
F jl jl jl jl jl jl jl jl jl jl


b) A histogram can be converted to an ogive by joining the mid-
F jl jl jl jl jl jl jl jl jl jl jl


point of the top of each of its rectangle with a straight line
jl jl jl jl jl jl jl jl jl jl jl jl


c) An ogive is the graph of a cumulative frequency distribution
F jl jl jl jl jl jl jl jl jl



4
Prepared by: Dawood Shahid CA & CIMA Affiliate, CPA, MPhil, MBA, OCE jl

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