Quantitative Aptitude

Statistics

606 Questions

All Ungrouped data dispersion and consistency 209 Unknown terms from given average 124 Grouped data central tendencies 101 Merging means and variances of groups 53 Replacement change in average 27 Alligation and weighted average 21 Data interpretation from tables and charts 20 Net successive percentage change 19 Grouped data variance via step deviation 18 Combination of multiple ratios 1

Statistics Questions

Multiple choice

Consider the frequency distribution of the given number Value 1 2 3 4 frequency 5 4 0 f If mean of the distribution is equal to 3, then the value of ' f ' is

$7$
$9$
$12$
$14$

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Multiple choice

Class 10-20 20-30 30-40 40-50 50-60 60-70 70-80 Frequency 180 $f_1$ 34 180 136 $f_2$ 50 If the total frequency is $685$ and median is $42\dfrac{7}{12}$ then the missing frequencies are

$81, 24$
$80, 25$
$82, 23$
$83, 22$

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Multiple choice

The missing frequencies in the following distribution. It is given that the median of distribution is 28 and number of observation are 50: Grain in weight 0-10 10-20 20-30 30-40 40-50 No.of children 5 ${ f }{ 1 }$ 15 ${ f }{ 2}$ 6

${ f }_{ 1 }=8,{ f }_{ 2 }=10$
${ f }_{ 1 }=16,{ f }_{ 2 }=8$
${ f }_{ 1 }=8,{ f }_{ 2 }=16$
${ f }_{ 1 }=10,{ f }_{ 2 }=8$

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Multiple choice

If the mode of observations $5,4,4,3,5,x,3,4,3,5,4,3,5$ is $3$, then median of the observations is

$3$
$4$
$5$
$3.5$

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Multiple choice

From a frequency distribution table if $N = 100, h = 10 ;c.f. = 38 ;f = 18 ;L = 50$, then find the median for the distribution. Choose the correct alternative.

$56.67 $
$55.76 $
$56.76 $
$ 55.87 $

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Multiple choice

The mean of following distribution is $x_i$ $10$ $12$ $15$ $25$ $f_i$ $2$ $3$ $7$ $8$

$18.50$
$18.05$
$18.15$
$18.25$

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Multiple choice

In a monthly test the marks obtained in mathematics by $16$ students of a class are as follows $0, 0, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 7, 8 $ The arithmetic mean of the marks obtained is

$3$
$4$
$5$
$6$

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Multiple choice

The arithmetic mean of the set of observations $1, 2, 3, ..., n$ is

$\displaystyle \frac{n+1}{2}$
$\displaystyle \left ( \frac{n}{2}+1 \right )$
$\displaystyle \frac{n}{2}$
$\displaystyle \frac{1}{2}\left ( n-1 \right )$

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Multiple choice

$2, 10, m, 12, 4$ A group of $5$ integers is shown above. If the average (arithmetic mean) of the numbers is equal to $m$, find the value of $m$.

$7$
$8$
$9$
$10$
$11$

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Multiple choice

Find the mean of the following distribution: ${ X }{ i }$ 12 13 14 15 16 17 18 ${ f }{ i }$ 1 3 4 8 10 3 1

15.1
15.2
14.9
15.0

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Multiple choice

If mean of $7$ observation is $10$ & mean of set of $ 3 $ observation is $5$ , then mean of combined set is $8.5$.

Both Assertion &. Reason are individually true & Reason is correct explanation of Assertion.
Both Assertion & Reason are individually true but Reason is not the correct (proper) explanation of Assertion.
Assertion is true Reason is false.
Assertion is false Reason is true.

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Multiple choice

Marks obtained by 60 students of a class are shown as Marks 30-40 40-50 50-60 60-70 70-80 80-90 90-100 Number of students 8 7 $f_1$ 15 5 $f_2$ 7 the mean marks are 64, then $f_1$ : $f_2$ is

$7 : 4$
$4 : 5$
$5 : 4$
None of these

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Multiple choice

The weights of $40$ students of class VIII are given below : Weight (kg) $38$ $40$ $41$ $43$ $45$ $48$ No. of students $3$ $ 8$ $ 9$ $7$ $6$ $7$ Find the mean weight.

$40.75$ kg
$41.75$ kg
$42.75$ kg
$43.75$ kg

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Multiple choice

In a group of students, the mean weight of boys is $65$ kg. and mean weight of girls is $55$ kg. If the mean weight of all students of group is $61$ kg, then the ratio of the number of boys and girls in the group is

2 : 3
3 : 1
3 : 2
4 : 3

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Multiple choice

A distribution consists of three components with frequencies $45, 40$ and $15$ having their means $2, 2.5, 2$ respectively. The mean of the combined distribution is

$2.1$
$2.2$
$2.3$
$2.4$

Reveal answer Fill a bubble to check yourself

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