List of top Questions asked in CBSE Class XI

Find the equation for the ellipse that satisfies the given conditions \(b =3\), \(c =4\), center at the origin; foci on the \(x-axis.\)

Find the equation for the ellipse that satisfies the given conditions: Ends of major axis \((±3,0)\) ends of the minor axis \((0,±2)\)

Find the equation for the ellipse that satisfies the given conditions: Vertices \((0, ±13),\) foci \((0, ±5)\)

From the data given below state which group is more variable, A or B?

Find the mean, variance and standard deviation using short-cut method.

Height in cms	70-75	75-80	80-85	85-90	90-95	95-100	100-105	105-110	110-115
No. of children	3	4	7	7	15	9	6	6	3

Find the mean and variance for the following frequency distribution.

Classes	0-30	30-60	60-90	90-120	120-150	150-180	180-210
Frequencies	2	3	5	10	3	5	2

Find the mean and standard deviation using short-cut method.

\(x_i\)	60	61	62	63	64	65	66	67	68
\(f_i\)	2	1	12	29	25	12	10	4	5

Find the mean and variance for the data

\(x_i\)	62	93	97	98	102	104	106
\(f_i\)	3	2	3	2	6	3	3

Find the mean and variance for the data

\(x_i\)	6	10	14	18	24	28	30
\(f_i\)	2	4	7	12	8	4	3

Calculate the mean deviation about median age for the age distribution of 100 persons given below

Age (in years)	16-20	21-25	26-30	31-35	36-40	41-45	46-50	51-55
Number	5	6	12	14	26	12	16	9

Find the mean deviation about median for the following data

Marks	0-10	10-20	20-30	30-40	40-50	50-60
Number of Girls	6	8	14	16	4	2

Find the mean deviation about the mean for the data

Height in cms	95-105	105-115	115-125	125-135	135-145	145-155
Number of boys	9	13	26	30	12	10

Find the mean deviation about the mean for the data.

Income per day	0-100	100-200	200-300	300-400	400-500	500-600	600-700	700-800
Number of persons	4	8	9	10	7	5	4	3

Find the mean deviation about the median for the data

x_i	15	21	27	30	35
f_i	3	5	6	7	8

Find the mean deviation about the mean for the data

\(x_i\)	10	30	50	70	90
\(f_i\)	4	24	28	16	8