## Statistics – Exercise 15.2 – Class XI

the mean and variance for the data 6, 7, 10, 12, 13, 4, 8, 12 Solution: Given data is 6, 7, 10, 12, 13, 4, 8, 12 xi (xi -  x) (xi -  x)2 6 -3 9 7 -2 4 10 -1 1 12 3 9 13 4 16 4 -5 25 8 -1 1… Continue reading Statistics – Exercise 15.2 – Class XI

11th mathematics exercise questions with answers

## Straight Lines – Exercise 10.2 – Class XI

Write the equations for the x and y-axes. Solution: The y-coordinate of every point on the x-axis is 0. Therefore, the equation of the x-axis is y = 0. The x-coordinate of every point on the y-axis is 0. Therefore, the equation of the y-axis is y = 0. Find the equation of the line… Continue reading Straight Lines – Exercise 10.2 – Class XI

## Straight Lines – Exercise 10.1 – Class XI

Draw a quadrilateral in the Cartesian plane, whose vertices are (–4, 5), (0, 7), (5, –5) and (–4, –2). Also, find its area. Solution: Let ABCD be the given quadrilateral with vertices A (–4, 5), B (0, 7), C (5, –5), and D (–4, –2). Now let us plot A, B, C, and D on… Continue reading Straight Lines – Exercise 10.1 – Class XI

## Probability – Exercise 16.3 – Class XI

Which of the following cannot be valid assignment of probabilities for outcomes of sample space? S = {ω1, ω2, ω3, ω4, ω5, ω6, ω7} Assignment ω1 ω2 ω3 ω4 ω5 ω6 ω7 (a) 0.1 0.001 0.05 0.03 0.01 0.2 0.6 (b) 1/7 1/7 1/7 1/7 1/7 1/7 1/7 (c) 0.1 0.2 0.3 0.4 0.5 0.6… Continue reading Probability – Exercise 16.3 – Class XI

## Probability – Exercise 16.2 – Class XI

A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive? Solution: When a die is rolled, the sample space is given by S = {1, 2, 3, 4, 5, 6} Then, E = {4} and F = {2,… Continue reading Probability – Exercise 16.2 – Class XI

## Probability – Exercise 16.1 – Class XI

Describe the sample space for the indicated experiment: A coin is tossed three times. Solution: A coin has two faces: head (H) and tail (T). It is given that, a coin is tossed three times, then the total number of possible outcomes is 23= 8 Thus, when a coin is tossed three times, the sample… Continue reading Probability – Exercise 16.1 – Class XI