Sequences and Series (p-1) — Maths (commerce) STD 11 Commerce / Arts — Question

Ten students appeared for a test in Mathematics and Statistics and they obtained the marks as follows:

Sr. No.	1	2	3	4	5	6	7	8	9	10
Marks In Mathe Matics	42	38	36	32	23	25	35	37	25	23
Marks In Statics	22	26	29	34	50	45	23	28	32	36

If the median will be the criteria, in which subject, the level of knowledge of the students is higher?

There are 2 red and 3 black balls in a bag. 3 balls are taken out at random from the bag. Find the probability of getting 2 red and 1 black ball or 1 red and 2 black balls.

Find the derivatives of the following w.r.t. x. : \begin{equation}
\frac{3 e^x-2}{3 e^x+2}
\end{equation}

Compute statistic from the following data:

	Graduates	Post-Graduates
Male	28	22
Female	32	18

Compute the variance and standard deviation for the following data:

X	2	4	6	8	10
F	5	4	3	2	1

Line y = mx + c passes through the points A(2, 1) and B(3, 2). Determine m and c.