Basic Statistics and Data Analysis

Lecture notes, MCQS of Statistics

MCQs Basic Statistics 5

This test contains multiple choice questions on measure of dispersion such as range, variance, standard deviation, mean deviation, characteristics and properties of measure of dispersion, absolute measure of dispersion or relative measure of dispersion etc. Don’t forget to share and like post.

Q.1) The sum of values divided by their number is called

A) Median
B) Harmonic Mean
C) Mean
D) Mode
E) None of these

Q. 2) ——— is based on all observations of data

A) Median
B) Mode
C) Mean
D) None of these

Q.3) The calculation of mean and variance is based on
A) Small values only
B) Large values only
C) Extreme values only
D) All values

Q.4)  Arithmetic Mean is ———- affected by extreme values
A) Not
B) Highly
C) Less
D) None of these

Q.5) Arithmetic mean of two positive  numbers “X” and “Y” is
A) $\frac{ab}{2}$
B) $\frac{2a}{2}$
C) $\frac{a+b}{2}$
D) $\frac{a-b}{2}$
E) $\frac{2}{a+b}$

Q.6) The mean of 10 numbers is 9, then sum of these numbers will be
A) 9
B) 0.9
C) 70
D 90

Q.7) For a certain distribution if $\sum(x-2)=18, \sum(x-24)=0, \sum(x-28)=-24)$ then arithmetic mean is
A) 21
B) 24
C) 28
D) 0

Q.8) If C= A – B then $\overline{C}$ is
A) $\overline{A}-\overline{A}$
B) $\overline{A}+\overline{A}$
C) $\overline{X} \times \overline{Y}$
D) 0

Q.9) Sum of deviations will be zero if it is taken from
A) Mean
B) Mode
C) Median
D) Standard Deviation

Q.10) The sum of squared deviation is least from
A) Median
B) Mean
C) Mode
D) Standard Deviation

Q.11) If “X” is  a constant then $\sum_{i=1}^2 a =$———–
A) X
B) 2X
C) nX

Q.12) The mean of a constant “b” is
A) Zero
B) b
C) None

Q.13)  Which of the following is least if $\overline{X}=14$
A) $\sum(X-10)^2$
B) $\sum(X-12)^2$
C) $\sum(X-14)^2$
D) $\sum(X-15)^2$

Q.14) The average of first $n$ natural numbers is
A) $\frac{n+1}{2}$
B) $\frac{n}{2}$
C) None of these

Q.15) The combined arithmetic mean is calculated as
A) $\frac{\overline{X}_1 + \overline{X}_2}{n_1 + n_2}$
B) $\frac{n_1+n_2}{2}$
C) $\frac{n_1 \overline{X}_1 + n_2 \overline{X}_2 }{n_1+n_2}$
D) $\frac{n_1 X_1 + n_2 X_2 }{n_1+n_2}$

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MCQs on Arithmetic Mean

This Quiz contains MCQs on Measure of central tendency, such as Mean (average).
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The Author

Muhammad Imdadullah

Student and Instructor of Statistics and business mathematics. Currently Ph.D. Scholar (Statistics), Bahauddin Zakariya University Multan. Like Applied Statistics and Mathematics and Statistical Computing. Statistical and Mathematical software used are: SAS, STATA, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis etc.

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