New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Statistics question

2023 · 24 Jan · Shift 2 · Q33

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Statistics
2023 · 24 Jan · Shift 2 · Q33

Statistics question

2023 · 24 Jan · Shift 2 · Q33

JEE MainMathematicsStatisticsMCQ+4 / −1

Let the six numbers

\mathrm{a_1,a_2,a_3,a_4,a_5,a_6}

, be in A.P. and

\mathrm{a_1+a_3=10}

. If the mean of these six numbers is

\frac{19}{2}

and their variance is

\sigma^2

, then 8

\sigma^2

is equal to :

A
220
B
210
C
105
D
200

More from Statistics

The mean and variance of the marks obtained by the students in a test are 10 and 4 respectively. Later, the marks of one of the students is increased from 8 to 12. If the new mean of the marks is 10.2, then their new variance is equal to :2023 · MCQ
Three rotten apples are mixed accidently with seven good apples and four apples are drawn one by one without replacement. Let the random variable X denote the number of rotten apples. If $μ$ and $σ^{2}$ represent mean and variance of…2023 · MCQ
Let $X = {11, 12, 13, ...., 40, 41}$ and $Y = {61, 62, 63, ...., 90, 91}$ be the two sets of observations. If $\overline{x}$ and $\overline{y}$ are their respective means and $σ^{2}$ is the variance of all the observations in $X \cup Y$ ,…2023 · Numerical
The mean and variance of 7 observations are 8 and 16 respectively. If one observation 14 is omitted and a and b are respectively mean and variance of remaining 6 observation, then $a + 3b - 5$ is equal to .2023 · Numerical
Let $S$ be the set of all values of $a_{1}$ for which the mean deviation about the mean of 100 consecutive positive integers $a_{1}, a_{2}, a_{3}, \dots ., a_{100}$ is 25 . Then $S$ is :2023 · MCQ
If the variance of the frequency distribution is 3, then $α$ is equal to . Includes table2023 · Numerical
Let the mean and standard deviation of marks of class A of 100 students be respectively 40 and $α (>$ 0 ), and the mean and standard deviation of marks of class $B$ of $n$ students be respectively 55 and 30 $- α$ . If the mean and…2023 · MCQ
If the mean deviation about median for the numbers 3, 5, 7, 2k, 12, 16, 21, 24, arranged in the ascending order, is 6 then the median is :2022 · MCQ