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Recent questions and answers in Statistics
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JEEMAIN and NEET
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Mathematics
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Class11
>>
Statistics
The variance of the first 50 even natural numbers is:
jeemain
math
statistics-and-probability
jeemain-2014
q35
statistics
answered
May 3, 2019
by
clairtom2001
1
answer
A local TV company produced a batch of 100 TVs. Four of the TVs are defective. What is the probability a customer randomly selects three good TVs ?
jeemain
math
cbse
class11
probability
easy
answered
Apr 2, 2014
by
balaji.thirumalai
1
answer
There are 10 cinema tickets with seat number from 1 to 10 in a row. Ram and Shyam are friends and they do not want to be apart. If they are asked to randomly pick up their tickets, what is the probability for Ram and Shyam to sit next to each other?
jeemain
math
class11
probability
easy
answered
Apr 2, 2014
by
balaji.thirumalai
1
answer
What is the probability that a leap year chosen at random will have 53 Sundays?
jeemain
math
class11
probability
easy
answered
Apr 2, 2014
by
balaji.thirumalai
1
answer
For two variables $x$ and $y$ with the same mean the two regression lines are $x+2y-5=0$ $ 2x+3y-8=0$ and variance $(x)=12$ Then $ \sigma_y$ is
cl25510
jeemain
math
cbse
class11
statistics
variance-and-standard-deviation
difficult
q29
answered
Mar 26, 2014
by
balaji
1
answer
Karl - Pearson's coefficient of Skewness of a distribution is $0.4$ If SD is 6 and mean 40, then median of the distribution is
jeemain
math
cbse
class11
statistics
measures-of-dispersion-(median)
easy
q93
answered
Feb 1, 2014
by
thanvigandhi_1
1
answer
If SD of $X$ is $ \sigma $ then SD of $ \large\frac{aX+b}{c}$ ( where $a,b,c$ are constants ) is
jeemain
math
cbse
class11
statistics
variance-and-standard-deviation
difficult
q50
answered
Feb 1, 2014
by
thanvigandhi_1
1
answer
The average speed of a car running at the rate of 15 km/hr during the first 30 km at 20 km/hr during the second 30 km and at 25 km/hr during the third 30 km is
jeemain
math
cbse
measures-of-dispersion
class11
statistics
difficult
q49
answered
Feb 1, 2014
by
thanvigandhi_1
1
answer
For a perfect correlation between the variables $x$ and $y$ the line of regression is $ ax+by+c=0$ where $a,b,c > 0$ then $ r$ is
jeemain
math
cbse
class11
statistics
easy
analysis-of-frequency-distributions-(correlation-coefficient)
q92
answered
Feb 1, 2014
by
thanvigandhi_1
1
answer
Two regression lines intersect at
jeemain
math
cbse
class11
statistics
easy
analysis-of-frequency-distributions
q99
answered
Feb 1, 2014
by
thanvigandhi_1
1
answer
If an experiment with 15 observations on $x$ the following results were available: $\Sigma x^2=2830 \: \Sigma x = 170$. One observation that was 20 was found to be wrong and was replaced by the correct value 30. The corrected variance is
jeemain
math
cbse
class11
statistics
variance-and-standard-deviation
difficult
q48
answered
Feb 1, 2014
by
thanvigandhi_1
1
answer
In a college of 300 students every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspaper is
jeemain
math
cbse
class11
statistics
difficult
analysis-of-frequency-distributions
q47
answered
Feb 1, 2014
by
thanvigandhi_1
1
answer
For $a$ bivariate distribution $(x,y)$ if $ \Sigma x = 50 \: \Sigma y = 60 \: \Sigma xy = 350 \: \overline x = 5\: \overline y = 6 \: var \: x=4\: var \: y=9\: then \: r(x,y)=$
jeemain
math
cbse
class11
statistics
analysis-of-frequency-distributions-(coefficient-correlation)
difficult
q46
answered
Feb 1, 2014
by
thanvigandhi_1
1
answer
If two random variables $x$ and $y$ are connected by the relation $ 2x+y=3$ then $ r_{xy} = $
jeemain
math
cbse
class11
statistics
analysis-of-frequency-distributions-(coefficient-correlation)
difficult
q46
answered
Feb 1, 2014
by
thanvigandhi_1
1
answer
$cov (x,y) $ if $ \Sigma x = 55\: \Sigma y = 82\: \Sigma xy = 565\: n=8$ is
jeemain
math
cbse
class11
statistics
analysis-of-frequency-distributions-(coefficient-correlation)
difficult
q44
answered
Feb 1, 2014
by
thanvigandhi_1
1
answer
If $b_{yx} = \large\frac{1}{2}$ and $b_{xy} = \large\frac{2}{3}$ and $ \theta$ is the acute angle between the two regression lines then $ \tan \theta$ =
jeemain
math
cbse
class11
statistics
analysis-of-frequency-distributions
difficult
q43
answered
Feb 1, 2014
by
thanvigandhi_1
1
answer
Correlation coeffiecient between $x$ and $y$ is $0.5 \: cov ( x,y )=8$ and $\sigma_y=4$ then $ \sigma_x$ is
jeemain
math
cbse
class11
statistics
easy
analysis-of-frequency-distributions-(coefficient-correlation)
q100
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
If $ \sigma_x= \sigma_y$ and $x,y$ are related by $u=x+y\: v=x-y$ then $cov (u,v)$ is
jeemain
math
cbse
class11
statistics
analysis-of-frequency-distributions-(correlation-coefficient)
difficult
q42
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
If two variables $x, y$ are related by $ax+by+c=0$ with $ab < 0$ then correlation coefficient between $x$ and $y$ is given by
jeemain
math
cbse
class11
statistics
analysis-of-frequency-distributions-(correlation-coefficient)
difficult
q41
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
The value of covariance of two variable $x$ and $y$ is $- \large\frac{148}{3}$ variance of $x$ is $ \large\frac{272}{3}$ and variance of $y$ is $ \large\frac{131}{3}$. Then coefficient of correlation is
jeemain
math
cbse
class11
statistics
analysis-of-frequency-distributions-(correlation-coefficient)
easy
q91
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
If the two lines of regression are $ 5x+3y=55$ and $ 7x+y=45$ then find the correlation coefficient between $x$ and $y$
jeemain
math
cbse
class11
statistics
analysis-of-frequency-distributions-(correlation-coefficient)
difficult
q40
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
If SD of 15 items is 6 and each item is decreased by 1, find the SD of the new set.
jeemain
math
cbse
class11
statistics
variance-and-standard-deviation
easy
q90
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
Given $ n=10, \: \Sigma x = 3,\: \Sigma x^2=8,\: \Sigma y^2=9,\: \Sigma xy=3$ Find correlation coefficient
jeemain
math
cbse
class11
statistics
analysis-of-frequency-distributions-(correlation-coefficient)
difficult
q39
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
In a bivariate data $ \Sigma x = 30\: \: \Sigma y = 400 \: \: \Sigma x^2=196 \: \: \Sigma xy = 850 \: \: n=10$ \[\] Find the regression coefficient of $y$ and $x$
jeemain
math
cbse
class11
statistics
analysis-of-frequency-distributions-(regression-coefficient)
medium
q50
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
The one which is the measure of the central tendency is
jeemain
math
cbse
class11
statistics
easy
measures-of-dispersion
q89
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
The first of the two sample has 100 items with mean 15 and S.D= 3. If the whole group has 250 items with mean 15.6 and SD = $ \sqrt{13.44}$ the S.D of the second group is?
jeemain
math
cbse
class11
statistics
variance-and-standard-deviation
difficult
q38
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
If $r_{xy}$ between two variates $x$ and $y$ is 0.6 $ cov (x,y)=4.8\: \sigma_x^2=9$ then $\sigma_y$ is
jeemain
math
cbse
class11
statistics
variance-and-standard-deviation
difficult
q37
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
$x$ and $y$ are two correlated variables with the same standard deviation and the correlation coefficient $r$ , the correlation coefficient between $x$ and $x+y$ is
jeemain
math
cbse
class11
statistics
correlation-coefficient
difficult
q36
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
The two variates $x$ and $y$ are uncorrelated and have standard deviation $ \sigma_x$ and $ \sigma_y$ respectively, the correlation coefficient between $x+y\: and \: x-y$ is
jeemain
math
cbse
class11
statistics
coefficient-correlation
difficult
q35
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
Lines of regression of $y$ on $x$ and $x$ on $y$ are respectively $y=ax+b$ and $x=\alpha y+ \beta$. If mean of $x$ and $y$ series is same then its value is
jeemain
math
cbse
class11
statistics
easy
analysis-of-frequency-distributions
q88
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
Median of $ ^{2n}C_0, ^{2n}C_1, ^{2n}C_2, ^{2n}C_3...... ^{2n}C_n$ ( where n is even ) is
jeemain
math
cbse
class11
statistics
easy
measures-of-dispersion-(median)
q87
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
The standard deviation of $n$ observations $x_1, x_2, ....x_n$ is 2. If $ \sum_{i=1}^n x_i=20$ and $ \sum_{i=1}^n x_i^2=100$ then $n$ is $i=1$
jeemain
math
cbse
class11
statistics
variance-and-standard-deviation
medium
q49
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
The standard deviation of the numbers 31, 32, 33, 46, 47 is
jeemain
math
cbse
class11
statistics
easy
variance-and-standard-deviation
q86
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
If the variance 1,2,3,4,5....10 is $ \large\frac{99}{12}$ then the standard deviation of 3,6,9,12....30 is
jeemain
math
cbse
class11
statistics
easy
variance-and-standard-deviation
q85
answered
Jan 31, 2014
by
thanvigandhi_1
1
answer
If the mean of $n$ observation $ 1^2, 2^2, 3^2.....n^2$ is $ \large\frac{46n}{11}$ then $n$ is equal to
jeemain
math
cbse
class11
statistics
measures-of-dispersion-(mean)
difficult
q34
answered
Jan 30, 2014
by
thanvigandhi_1
1
answer
The variance of $n$ natural number is
jeemain
math
cbse
class11
statistics
variance
medium
q48
answered
Jan 30, 2014
by
thanvigandhi_1
1
answer
The correlation coefficient of two variables $x$ and $y$ is 0.8. The regression coefficient of $y$ on $x$ is 0.2 then the regression coefficient of $x$ and $y$ is
jeemain
math
cbse
class11
statistics
correlation-coefficient
medium
q47
answered
Jan 29, 2014
by
thanvigandhi_1
1
answer
The correlation coefficient between $x$ and $y$ is from the following data is \[\] $ \Sigma x = 40\: \: \Sigma y=50\: \: \Sigma xy = 220\: \: \Sigma x^2=200\: \: \Sigma y^2 = 262\: \: n=10$
jeemain
math
cbse
class11
statistics
correlation-coefficient
medium
q46
answered
Jan 29, 2014
by
thanvigandhi_1
1
answer
The geometric mean of $ 2.262.....2^n$ is
jeemain
math
cbse
class11
statistics
measures-of-dispersion-(g.m)
medium
q45
answered
Jan 29, 2014
by
thanvigandhi_1
1
answer
The sum of absolute deviation about median is
jeemain
math
cbse
class11
statistics
easy
measures-of-dispersion-(median)
q84
answered
Jan 29, 2014
by
thanvigandhi_1
1
answer
The coefficient of correlation $r$ is independent of
jeemain
math
cbse
class11
statistics
easy
coefficient-of-correlation
q83
answered
Jan 29, 2014
by
thanvigandhi_1
1
answer
The variance of 6, 8, 10, 12, 14 is
jeemain
math
cbse
class11
statistics
variance
easy
q82
answered
Jan 29, 2014
by
thanvigandhi_1
1
answer
If $b_{yx}=1.6$ and $b_{xy}=0.4$ and the angle between two regression lines is $ \theta$ then $ \tan \theta$ is
jeemain
math
cbse
class11
statistics
variance-and-standard-deviation
medium
q44
answered
Jan 29, 2014
by
thanvigandhi_1
1
answer
If 25% of item are less than 10 and 25% are more than 40, then coefficient of quartile deviation is
jeemain
math
cbse
class11
statistics
easy
measures-of-dispersion-(q.d)
q81
answered
Jan 29, 2014
by
thanvigandhi_1
1
answer
If the coefficient of variation of a distribution is 45% and the mean is 12 then its standard deviation is
jeemain
math
cbse
class11
statistics
easy
variance-and-standard-deviation
q80
answered
Jan 29, 2014
by
thanvigandhi_1
1
answer
The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is
jeemain
math
cbse
class11
statistics
measures-of-dispersion
difficult
q33
answered
Jan 29, 2014
by
thanvigandhi_1
1
answer
The mean of the numbers $ a, b, 8, 5, 10$ is $6$ and the variance is $6.80$. Then which one of the following gives possible values of $a$ and $b$ ?
jeemain
math
cbse
class11
statistics
variance-and-standard-deviation
difficult
q32
answered
Jan 29, 2014
by
thanvigandhi_1
1
answer
If the mean deviation of the numbers $ 1, 1+d, 1+2d......1+100d$ from their mean is $255$, then the $d$ is equal to
jeemain
math
cbse
class11
statistics
measures-of-dispersion-(mean)
difficult
q31
answered
Jan 29, 2014
by
thanvigandhi_1
1
answer
For two data sets each of size 5, the variances are given to be 4 and 5 and the corresponding means are given to be 2 and 4 respectively. The variance of the combined data set is
jeemain
math
cbse
class11
statistics
variance-and-standard-deviation
difficult
q31
answered
Jan 28, 2014
by
thanvigandhi_1
1
answer
The standard deviation of -1, -2, -3, -4, -5, -6, -7 is
jeemain
math
cbse
class11
statistics
easy
variance-and-standard-deviation
q79
answered
Jan 28, 2014
by
thanvigandhi_1
1
answer
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