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Maths MCQ(1M)

Statistics · Maharashtra Board STD 9 (MSBSHSE - English Medium). 10 questions.

Questions

MCQ(1M)

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10 questions · auto-graded multiple-choice test.

MCQ 11 Mark
From following table, what is the cumulative frequency of less than type for the class 30 – 40?

Image

  • A
    13
  • B
    15
  • ✓
    35
  • D
    22
Answer
Correct option: C.
35
Cumulative frequency of less than type for the class 30 – 40 = 7 + 3 + 12 + 13 = 35
(C) 35
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MCQ 41 Mark
Mean of $100$ observations is $40.$ The 9th observation is $30.$ If this is replaced by $70$ keeping all other observations same, find the new mean.
  • A
    $40.6$
  • ✓
    $40.4$
  • C
    $40.3$
  • D
    $40.7$
Answer
Correct option: B.
$40.4$
$\text { New mean }=\frac{4000-30+70}{100} $
$=40.4$
$40.4$
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MCQ 51 Mark
The mean of five numbers is $50$, out of which mean of $4$ numbers is $46$, find the 5th number.
  • A
    $4$
  • B
    $20$
  • C
    $434$
  • ✓
    $66$
Answer
Correct option: D.
$66$
$5^ {th } number $=$ Sum of five numbers $-$ Sum of four numbers
$=(5 \times 50)-(4 \times 46)$
$=250-184$
$=66$
$66$
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MCQ 61 Mark
If $\bar{x}$ is the mean of $x_1, x_2, \ldots \ldots, x_n$ and $\bar{y}$ is the mean of $y_1, y_2, \ldots . y _{ n }$ and $\bar{z}$ is the mean of $x_1, x_2, \ldots \ldots, x_n, y_1, y_2, \ldots y_n$, then $z=?$
  • ✓
    $\frac{\bar{x}+\bar{y}}{2}$
  • B
    $\bar{x}+\bar{y}$
  • C
    $\frac{\bar{x}+\bar{y}}{ n }$
  • D
    $\frac{\bar{x}+\bar{y}}{2 n }$
Answer
Correct option: A.
$\frac{\bar{x}+\bar{y}}{2}$
$X_1, X_2, X_3, \ldots \ldots, X_n$
$\therefore \bar{x}=\frac{\sum x}{n} \\
\therefore n \bar{x}=\sum x$

$ $

Similarly, $n \bar{y}=\Sigma y$
Now,
$$
\bar{z}=\frac{\sum x+\sum y}{n+n}=\frac{n \bar{x}+n \bar{y}}{2 n}=\frac{n(\bar{x}+\bar{y})}{2 n}=\frac{(\bar{x}+\bar{y})}{2}
$$
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MCQ 71 Mark
If the classes are 0 – 10, 10 – 20, 20 – 30, …, then in which class should the observation 10 be included?
  • A
    0 – 10
  • ✓
    10 – 20
  • C
    0 – 10 and 10-20 in these 2 classes
  • D
    20 – 30
Answer
Correct option: B.
10 – 20
10 – 20
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MCQ 101 Mark
Which of the following data is not primary ?
  • A
    By visiting a certain class, gathering information about attendance of students.
  • B
    By actual visit to homes, to find number of family members.
  • ✓
    To get information regarding plantation of soyabean done by each farmer from the village Talathi.
  • D
    Review the cleanliness status of canals by actually visiting them.
Answer
Correct option: C.
To get information regarding plantation of soyabean done by each farmer from the village Talathi.
To get information regarding plantation of soyabean done by each farmer from the village Talathi.
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