Statistics Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 1 EXERCISES
The following question based on Statistics topic of quantitative aptitude
(a) 12, 8
(b) 16, 4
(c) 15, 5
(d) 18, 2
The correct answers to the above question in:
Answer: (b)
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Read more model question set 1 Based Quantitative Aptitude Questions and Answers
Question : 1
In a pi-diagram there are three sectors. If the ratio of the angles of the sectors is 1 : 2 : 3, then what is the angle of the largest sector?
a) 180°
b) 150°
c) 200°
d) 120°
Answer »Answer: (b)
Sum of angles of a pie diagram = 360°
∴ θ + 2θ + 3θ = 360°
6θ = 360°
θ = 60°
Hence, angle of Largest sector
6θ = 3 × 60°
= 180°
Question : 2
Read the following information carefully to answer the questions that follow. The arithmetic mean, geometric mean and median of 6 positive numbers a, a, b, b, c, c, where a < b < c are $7/3$, 2, 2, respectively.What is the value of c?
a) 2
b) 3
c) 1
d) 4
Answer »Answer: (d)
a < b < c
Total numbers = 6
Increasing order a, a, b, b, c, c
∴ Median = ${\text"(6/2)th term + (6/2 + 1)th term"}/2$
= ${\text"3rd term + 4th term"}/2$
2 = ${b + b}/2$ = b
Arithmetic mean = ${a + a + b + b + c + c}/6$
⇒ $7/3 = {a + b + c}/3$
⇒ a + b + c = 7
⇒ a + c = 7 – 2 = 5 ... (i)
Geometric mean = $(a^2 × b^2 × c^2)^{1/6}$
⇒ 2 = $(abc)^{1/3}$
⇒ abc = 8
⇒ ac = $8/2$ = 4 ... (ii)
⇒ c = $4/a$
From equation (i),
a + $4/a$ = 5
⇒ ${a^2 + 4}/a$ = 5
⇒ $a^2$ – 5a + 4 = 0
⇒ $a^2$ – 4a – a + 4 = 0
⇒ a(a – 4) – 1(a – 4) = 0
⇒ (a – 4) (a – 1) = 0
if a = 1 then c = 4
a = 4 then c = 1
a = 1, c = 4 and b = 2
The value of c is 4.
Question : 3
Consider the following data:
| x | 1 | 2 | 3 | 4 | 5 |
| f | 3 | 5 | 9 | - | 2 |
a) 6
b) 7
c) 4
d) 8
Answer »Answer: (a)
| x | f | xf |
| 1 | 3 | 3 |
| 2 | 5 | 10 |
| 3 | 9 | 27 |
| 4 | $f_1$ | $4f_1$ |
| 5 | 2 | 10 |
| Total | 19 + $f_1$ | 50 + $4f_1$ |
∴ Mean = ${Σx_if_i}/{Σ_i}$
⇒ 2.96 = ${50 + 4f_1}/{19 + f_1}$ [given]
⇒ 56.24 + 2.96 $f_1 = 50 + 4f_1$
⇒ 6.24 = 1.04 $f_1$
⇒ $f_1$ = 6
Question : 4
The following pairs relate to frequency distribution of a discrete variable and its frequency polygon. Which one of the following pairs is not correctly matched ?
a) Ordinates of the – Class vertices of the polygon frequencies
b) Abscissa of the vertices – Class marks of of the polygon the frequency distribution
c) Base line of the polygon – X-axis
d) Area of the – Total polygon frequency of the distribution
Answer »Answer: (d)
Area of the polygon gives sum of $f_i x_i$ not sum of frequency distribution $(f_i)$.
Question : 5
Frequency density of a class is computed by the ratio
a) Class frequency to total frequency
b) Class frequency to total number of classes
c) Class frequency to the class width
d) Cumulative frequency up to that class to total frequency
Answer »Answer: (c)
Question : 6
The number of girls studying Statistics is what percent (approximate) of the total number of students studying Chemistry?
a) 73.5
b) 78.7
c) 58.8
d) 80.6
Answer »Answer: (a)
According to the question,
250 = x% of 340 ⇒ x = ${250 × 100}/{340}$ = 73.5%
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