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Statistics MCQ

‘Board Question Paper : March 2022 · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 19 questions.

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19 questions · timed · auto-graded

MCQ 11 Mark
If $y=a x+b, a$ and $b$ are constant then what will be $\frac{d y}{d x}$ ?
  • ✓
    $a$
  • B
    $b$
  • C
    $b$
  • D
    0
Answer
Correct option: A.
$a$
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MCQ 21 Mark
What is the value of $\lim _{x \rightarrow 3} \frac{x^4-81}{x-3}$.
  • A
    $192$
  • B
    $324$
  • C
    $36$
  • ✓
    $108$
Answer
Correct option: D.
$108$
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MCQ 31 Mark
What is the value of $\lim _{x \rightarrow-2} 10$ ?
  • ✓
    $10$
  • B
    $-2$
  • C
    $8$
  • D
    Indeterminate
Answer
Correct option: A.
$10$
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MCQ 41 Mark
If the distribution of normal variable is shown as $N(20,4)$ then which of the following intervals includes $99.73 \%$ of observations?
  • A
    $(18,22)$
  • B
    $(16,24)$
  • ✓
    $(14,26)$
  • D
    $(12,28)$
Answer
Correct option: C.
$(14,26)$
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MCQ 51 Mark
What is the area under the normal curve to the left hand side of perpendicular line $\mu$ ?
  • A
    $0$
  • ✓
    $0.5$
  • C
    $1$
  • D
    $-0.5$
Answer
Correct option: B.
$0.5$
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MCQ 61 Mark
Which of the following are mean and variance of standard normal variable$?$
  • ✓
    Mean $=0$, variance $=1$
  • B
    Mean $=1$, variance $=0$
  • C
    Mean $0 ,$ variance $=0$
  • D
    Mean $1,$ variance $=1$
Answer
Correct option: A.
Mean $=0$, variance $=1$
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MCQ 71 Mark
For a positively skewed Binomial Distribution with $n=10$, which of the following values might be the value of mean?
  • A
    $5$
  • ✓
    $3$
  • C
    $9$
  • D
    $7$
Answer
Correct option: B.
$3$
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MCQ 81 Mark
For the probability distribution of a discrete random variable $X, E(X)=5$ and $E \left( X ^2\right)=35$. What will be the variance of this distribution?
  • A
    $40$
  • B
    $30$
  • C
    $20$
  • ✓
    $10$
Answer
Correct option: D.
$10$
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MCQ 91 Mark
Which variable of the following will be an illustration of discrete variable?
  • A
    Height of a student
  • B
    Weight of a student
  • C
    Blood pressure of a student
  • ✓
    Birth year of a student
Answer
Correct option: D.
Birth year of a student
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MCQ 101 Mark
If $P ( A / B )= P ( A )$ and $P ( B / A )= P ( B )$ then what type of events are $A$ and $B$ ?
  • ✓
    Independent events
  • B
    Complementary events
  • C
    Certain events
  • D
    Impossible events
Answer
Correct option: A.
Independent events
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MCQ 111 Mark
What is the other name of the classical definition of probability?
  • ✓
    Mathematical Definition
  • B
    Axiomatic Definition
  • C
    Statistical Definition
  • D
    Geometric Definition
Answer
Correct option: A.
Mathematical Definition
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MCQ 121 Mark
Which method of finding trend is best to eliminate the effect of repetitive shortterm variations?
  • A
    Graphical method
  • B
    Method of least squares
  • C
    Karl Pearson's method
  • ✓
    Method of moving average
Answer
Correct option: D.
Method of moving average
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MCQ 131 Mark
Which variation is shown in 'decrease in production of company' due to strike?
  • ✓
    Random
  • B
    Trend
  • C
    Seasonal
  • D
    Cyclical
Answer
Correct option: A.
Random
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MCQ 141 Mark
What is coefficient of determination in the study of regression for two variables?
  • A
    Product of two standard deviation
  • ✓
    Square of correlation coefficient
  • C
    Square of covariance
  • D
    Product of two variances
Answer
Correct option: B.
Square of correlation coefficient
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MCQ 151 Mark
The regression line always passes through which point?
  • ✓
    $(\bar{x}, y)$
  • B
    $(0, \bar{y})$
  • C
    $(\bar{x}, 0)$
  • D
    $(0,0)$
Answer
Correct option: A.
$(\bar{x}, y)$
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MCQ 161 Mark
If $r(x, y)=-0.5$ then what is the value of $r(x, y)= ?$
  • A
    $0.5$
  • ✓
    $-0.5$
  • C
    $1$
  • D
    $0$
Answer
Correct option: B.
$-0.5$
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MCQ 171 Mark
What is the range of the correlation coefficient $r\ ?$
  • A
    $-1$
  • B
    $0$ to $1$
  • ✓
    $-1 \leq r \leq 1$
  • D
    $-1$ to $0$
Answer
Correct option: C.
$-1 \leq r \leq 1$
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MCQ 181 Mark
If the purchasing power of moncy is $0.75$ in the year $2021$ with respect to the base year $2020$ then what will be the price index number for the year $2021 ?$
  • A
    $750$
  • B
    $175$
  • ✓
    $133.33$
  • D
    $275$
Answer
Correct option: C.
$133.33$
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MCQ 191 Mark
The price of an item inereased by $4.5$ times in the current year as compared to the base year. What will be the price index number $?$
  • A
    $45$
  • B
    $450$
  • ✓
    $550$
  • D
    $350$
Answer
Correct option: C.
$550$
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MCQ - Statistics STD 12 Commerce Questions - Vidyadip