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Recent questions and answers in Statistics

Questions >> JEEMAIN and NEET >> Mathematics >> Class11 >> Statistics

The variance of the first 50 even natural numbers is:

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 ?

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?

answered Apr 2, 2014 by balaji.thirumalai

1 answer

What is the probability that a leap year chosen at random will have 53 Sundays?

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

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

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

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

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

answered Feb 1, 2014 by thanvigandhi_1

1 answer

Two regression lines intersect at

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

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

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)=$

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} = $

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

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$ =

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

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

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

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

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 $y$

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.

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

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 $x$

answered Jan 31, 2014 by thanvigandhi_1

1 answer

The one which is the measure of the central tendency is

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?

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

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

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

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

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

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 $i=1$

answered Jan 31, 2014 by thanvigandhi_1

1 answer

The standard deviation of the numbers 31, 32, 33, 46, 47 is

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

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

answered Jan 30, 2014 by thanvigandhi_1

1 answer

The variance of $n$ natural number is

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

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$

answered Jan 29, 2014 by thanvigandhi_1

1 answer

The geometric mean of $ 2.262.....2^n$ is

answered Jan 29, 2014 by thanvigandhi_1

1 answer

The sum of absolute deviation about median is

answered Jan 29, 2014 by thanvigandhi_1

1 answer

The coefficient of correlation $r$ is independent of

answered Jan 29, 2014 by thanvigandhi_1

1 answer

The variance of 6, 8, 10, 12, 14 is

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

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

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

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

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 $b$ ?

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

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

answered Jan 28, 2014 by thanvigandhi_1

1 answer

The standard deviation of -1, -2, -3, -4, -5, -6, -7 is

answered Jan 28, 2014 by thanvigandhi_1

1 answer

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