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

Find the mean deviation from the median for the following ungrouped data $20, 25, 30, 18, 15, 40$

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Multiple choice

The mean deviation of first 8 composite numbers is

$3.0$
$4.83$
$5.315$
$3.5625$

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Multiple choice

The arithmetic mean of the observations 10,8,5,a,b is 6 and their variance 6.8. Then ab=

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Multiple choice

$x$ $10$ $20$ $30$ $40$ $50$ $f$ $5$ $7$ $15$ $13$ $10$ From the given distribution, calculate mean deviation about mean.

$1.021$
$11.231$
$10.256$
$12.214$

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Multiple choice

Find the missing frequency $k$ if mean deviation about mean for the given data is $0.91$ $x$ $3.5$ $4.5$ $5.5$ $6.5$ $7.5$ $8.5$ $9.5$ $f$ $k$ $7$ $22$ $60$ $85$ $32$ $8$

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Multiple choice

In a series of $2n$ observations, half of them equal $a$ and remaining half equal $-a$. If the S.D. of the observations is $2$, then $|a|$ equals

$\dfrac{1}{n}$
$\sqrt{2}$
$2$
$\dfrac{\sqrt{2}}{n}$

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Multiple choice

The mean of the following observation is $10, 19, 22, 16, 15, 18, 20, 18, 14, 18, 23$.

$17.55$
$18$
$15$
$16.5$

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Multiple choice

The mean of seven observations is $18$. A new observation $16$ is added. The mean of eight observations is _____.

$22$
$17.75$
$18$
None of them

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Multiple choice

X and Y are so related that $2x+y-18 = 0$ and mean deviation about mean of x is $3.5$ find mean deviation about mean with respect of y____.

$6.07$
$6.71$
$7.00$
$6.01$

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Multiple choice

The mean age of $25$ students in a class is $12$. If the teacher's age is included, the mean age increases by $1$. Then teacher's age (in years) is:

$24$
$38$
$30$
$48$

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Multiple choice

The following observations are arranged in ascending order: $26, 29, 42, 53, x, x+2, 70, 75, 82, 93$ If the median is $65,$ find the value of $x$.

$62$
$64$
$65$
$68$

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Multiple choice

A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household. Family size 1-3 3-5 5-7 7-9 9-11 Number of families 7 8 2 2 1 The mode of this data 3.286

True
False

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Multiple choice

Find the mean of the data given below, if following are the marks obtained by students in a class test in the mathematics subject. Marks: 10 20 30 40 50 60 Number of student 5 12 32 40 45 48

$44.5$
$43.846$
$46.86$
$44.96$

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Multiple choice

Mode of the distribution Marks 4 5 6 7 8 No. of students $3$ $5$ $10$ $6$ $1$

$6$
$10$
$8$
$4$

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Multiple choice

The mean and mode of a frequency distribution are respectively $25.55$ and $18.30$. Find the median of the distribution.

$23.13$
$21.4$
$20.45$
$22.7$

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