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MATHS M.C.Q (1 Marks)

PART - 2 CH - 13 Statistics · Rajasthan Board (RBSE) STD 11 Science (Rajasthan - English Medium). 16 questions.

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M.C.Q (1 Marks)

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16 questions · auto-graded multiple-choice test.

MCQ 11 Mark
If the standard deviation of marks of students of a class is $1.6,$ then the variance of the distribution will be :
  • A
    1.6
  • B
    0.4
  • ✓
    2.56
  • D
    $(2.56)^2$
Answer
Correct option: C.
2.56
C
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MCQ 21 Mark
Mean of variable series $\bar{x}=773$ and mean deviation $64.4,$ then coefficient of mean deviation is :
  • ✓
    0.083
  • B
    0.073
  • C
    0.065
  • D
    12.003
Answer
Correct option: A.
0.083
A
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MCQ 31 Mark
If arithmetic mean of a distribution be $\bar{x},$ then its mean deviation is :
  • A
    $\frac{\sum f_i\left(x_i-\bar{x}\right)}{ N }$
  • B
    $\Sigma f_i\left|x_i-\bar{x}\right|$
  • ✓
    $\frac{\Sigma f_i\left|\left(x_i-\bar{x}\right)\right|}{ N }$
  • D
    $\frac{\sum f_i\left|x_i-\bar{x}\right|^2}{N}$
Answer
Correct option: C.
$\frac{\Sigma f_i\left|\left(x_i-\bar{x}\right)\right|}{ N }$
C
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MCQ 41 Mark
Marks of five students in statistics are $20,35,25,30$ and $15.$ Find out range :
  • A
    15
  • ✓
    20
  • C
    25
  • D
    30
Answer
Correct option: B.
20
B
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MCQ 51 Mark
If a range is divided into classes $5-10,10-15,15-20,$ $20-25,25-30$ and $30-35,$ then the range of the series will be :
  • A
    5
  • ✓
    30
  • C
    35
  • D
    10
Answer
Correct option: B.
30
B
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MCQ 61 Mark
If the median of a distribution is $8$ and the mean deviation from the median is $64.8,$ the coefficient of mean deviation will be :
  • ✓
    8.1
  • B
    81
  • C
    810
  • D
    0.81
Answer
Correct option: A.
8.1
A
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MCQ 71 Mark
If A is the mean from which the mean deviation is taken, then the coefficient of mean deviation is :
  • ✓
    $\frac{\text { Mean deviation }}{ A }$
  • B
    $\frac{\bar{x}}{\sigma}$
  • C
    $\frac{\sigma}{x}$
  • D
    $\frac{ A }{\text { Mean deviation }}$
Answer
Correct option: A.
$\frac{\text { Mean deviation }}{ A }$
A
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MCQ 81 Mark
The assumed mean of a distribution is $a$ and Arithmetic mean is $\bar{x},$ then its variance is :
  • A
    $\frac{\sum f_i\left(x_i-a\right)^2}{N}$
  • B
    $\sqrt{\frac{\sum f_i\left(x_i-a\right)^2}{N}}$
  • ✓
    $\frac{\sum f_i\left(x_i-\bar{x}\right)^2}{N}$
  • D
    $\frac{\sum f_i\left(x_i-\bar{x}\right)}{ N }$
Answer
Correct option: C.
$\frac{\sum f_i\left(x_i-\bar{x}\right)^2}{N}$
C
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MCQ 91 Mark
If in a group of data the sum of squares deviations from the arithmetic mean is 605 and the number of terms is 5, then the standard deviation will be :
  • A
    10
  • B
    2
  • ✓
    11
  • D
    5
Answer
Correct option: C.
11
C
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MCQ 101 Mark
If the assumed mean of a distribution is $a$ and arithmetic mean is $\bar{x}$, then its standard deviation will be :
  • ✓
    $\sqrt{\frac{\sum f_i\left(x_i-\bar{x}\right)^2}{N}}$
  • B
    $\frac{\sum f_i\left(x_i-a\right)^2}{N}$
  • C
    $\frac{\sum f_i\left(x_i-a\right)^3}{N}$
  • D
    $\frac{\sum f_i\left(x_i-\bar{x}\right)^3}{N}$
Answer
Correct option: A.
$\sqrt{\frac{\sum f_i\left(x_i-\bar{x}\right)^2}{N}}$
A
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MCQ 111 Mark
The variance of marks of students of class is $2.56,$ then the standard deviation of this distribution is :
  • A
    2.56
  • ✓
    1.6
  • C
    $\frac{1}{2.56}$
  • D
    $(2.56)^2$
Answer
Correct option: B.
1.6
B
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MCQ 121 Mark
In a group of data the sum of absolute values of deviations from the arithmetic mean is 256 and the number of terms is 4, then the mean deviation is :
  • A
    8
  • B
    1024
  • ✓
    64
  • D
    16
Answer
Correct option: C.
64
C
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MCQ 131 Mark
If mean of $6,10,4,7, x$ and $5$ be $6,$ then the value of $x$ will be :
  • A
    5
  • B
    32
  • C
    36
  • ✓
    4
Answer
Correct option: D.
4
D
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MCQ 141 Mark
What is the standard deviation of the data $6,10,4,7$, 4 and $5?$
  • ✓
    $\sqrt{\frac{13}{3}}$
  • B
    $\frac{13}{3}$
  • C
    $\sqrt{26}$
  • D
    $\frac{\sqrt{26}}{6}$
Answer
Correct option: A.
$\sqrt{\frac{13}{3}}$
A
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MCQ 151 Mark
If standard deviation $\sigma=\sqrt{\frac{\sum f d^2}{N}-\left(\frac{\sum f d}{30}\right)^2},$ then the value of N is :
  • A
    10
  • ✓
    30
  • C
    15
  • D
    20
Answer
Correct option: B.
30
B
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M.C.Q (1 Marks) - MATHS STD 11 Science Questions - Vidyadip