Students should refer to Worksheets Class 11 Mathematics Statistics Chapter 15 provided below with important questions and answers. These important questions with solutions for Chapter 15 Statistics have been prepared by expert teachers for Class 11 Mathematics based on the expected pattern of questions in the class 11 exams. We have provided Worksheets for Class 11 Mathematics for all chapters on our website. You should carefully learn all the important examinations questions provided below as they will help you to get better marks in your class tests and exams.

**Statistics Worksheets Class 11 Mathematics**

**Question. Karl-Pearson’s coefficient of skewness of a distribution is 0.32. Its S.(d) is 6.5 and mean 39.6. Then the median of the distribution is given by: **

(a) 28.61

(b) 38.81

(c) 29.13

(d) 28.31

## Answer

B

**Question. Maximize z = 3x + 2y, subject to x + y ≥1, y − 5x ≤ 0, x − y ≥ −1, x + y ≤ 6, x ≤ 3 and x, y ≥ 0 **

(a) x = 3

(b) y = 3

(c) z =15

(d) All the above

## Answer

D

**Question. Maximum value of 4x + 5y subject to the constraints x + y ≤ 20, x + 2y ≤ 35, x − 3y ≤12 is **

(a) 84

(b) 95

(c) 100

(d) 96

## Answer

B

**Question. The maximum value of μ = 3x + 4y subjected to the conditions x + y ≤ 40, x + 2y ≤ 60; x, y ≥ 0 is **

(a) 130

(b) 120

(c) 40

(d) 140

## Answer

D

**Question. z = ax + by,a,b being positive, under constraints y ≥1, x − 4y + 8 ≥ 0, x, y ≥ 0 has: **

(a) Finite maximum

(b) Finite minimum

(c) An unbounded minimum solution

(d) An unbounded maximum solution

## Answer

B,D

**Question. A, B, C, D are non-zero constants, such that **

(a) both A and C are negative.

(b) A and C are of opposite sign.

If coefficient of correlation between x and y is r, then that between AX + B and CY + D is

(a) r

(b) –r

(c) A/(c)r

(d) –A/(c)r

## Answer

A,B

**Question. Karl-Pearson’s coefficient of skewness of a distribution is 0.32. Its S.(d) is 6.5 and mean 39.6. Then the median of the distribution is given by: **

(a) 28.61

(b) 38.81

(c) 29.13

(d) 28.31

## Answer

B

**Question. Let r be the**

## Answer

A

**Question. Given that the regression coefficients are – 1.5 and – 0.5, the value of the correlation coefficient is: **

(a) 0.75

(b) 0.7

(c) – 0.87

(d) – 0.5

## Answer

C

**Question. Angle between two lines of regression is given by:**

## Answer

C

**Question. The solution of set of constraints x + 2 y ≥ 11, 3x + 4 y ≤ 30, 2x + 5 y ≤ 30, x ≥ 0, y ≥ 0 includes the point: **

(a) (2, 3)

(b) (3, 2)

(c) (3, 4)

(d) (4, 3)

## Answer

C

**Question. The standard deviation of 25 numbers is 40. If each of the numbers is increased by 5, then the new standard deviation will be: **

(a) 40

(b) 45

(c) 40 + 21/25

(d) None of these

## Answer

A

**Question. The quartile deviation for the following data is (**

(a) 0

(b) 1/4

(c) 1/2

(d) 1

## Answer

D

**Assertion and Reason****Note: Read the Assertion (A) and Reason (R) carefully to mark the correct option out of the options given below:**

(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.

(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.

(c) If assertion is true but reason is false.

(d) If the assertion and reason both are false.

e. If assertion is false but reason is true.

**Question. Assertion:** The variance of first n even natural numbers is = (n+1)(n-1)/3 = n^{2}–1/3 ? **Reason:** Arithmetic mean and the variance are same.

## Answer

B

**Question. The graph of x ≤ 2 and y ≥ 2 will be situated in the: **

(a) First and second quadrant

(b) Second and third quadrant

(c) First and third quadrant

(d) Third and fourth quadrant

## Answer

A

**Question. Let x _{1} , x_{2},…., x_{n} be n observations, and let x be their arithmetic mean and σ2 be the variance? **

**Assertion:**Variance of 2x

_{1}, 2x

_{2}……2x

_{n}is 4σ

^{2}.

**Reason:**Arithmetic mean 2x

_{1}, 2x

_{2}……2x

_{n}is x̅.

## Answer

C

**Paragraph –I****Study the following table carefully and answer the questions given below it.**

Number of boys of standard xi participating in different games

Every student of each section of standard xi participates in a game.

In each class, the number of girls participating in each game is 25% of the number of boys participating in that game.

Each student participates in one and only game.

**Question. All the boys of class XI D passed at the annual examination but a few girls failed If all the boys and girls who passed and entered class XII D and if in class XIII D, the ratio of boys to girls is 5:1, what would be the number of girls who failed in XI D? **

(a) 8

(b) 5

(c) 2

(d) 1

## Answer

C

**Question. Boys of which of the following classes need to be combined to equal to four times the number of girls in XI B and XI C ? **

(a) XI D and XI E

(b) XI A and XI B

(c) XI A and XI E

(d) None of these

## Answer

D

**Question. Girls playing which of the following games need to be combined to yield a ratio of boys to girls of 4:1, if all boys playing Chess and Badminton are combined? **

(a) Chess and Hockey

(b) Hockey and Football

(c) Tables Tennis and Hockey

(d) Badminton and Table Tennis

## Answer

B

**Question. If boys if XI E participates in Chess together with girls of XI V and XI C participating in Table Tennis and Hockey respectively are selected for a course at the college of sports, what percent of the students will get this advantage approximately? **

(a) 13.5

(b) 10.52

(c) 3.51

(d) 4.38

## Answer

C

**Question. What should be the total number of students in the school if all the boys of XII A together with all the girls of XI B and XI C were to be equal to 25% of the total number of students? **

(a) 272

(b) 560

(c) 656

(d) 340

## Answer

A

**Question. If for social work, every boy of XI D and XI C is paired with a girl of the same class, what percentage of the boys of these two classes can participate in Social work? **

(a) 60

(b) 75

(c) 66

(d) 88

## Answer

B

**Paragraph –II****Study the following Pie-diagrams carefully and answer the questions given below it. **

## Answer

D

**Question. In the human body, what part is made of neither bones nor skin?**

(a) 2/5

(b) 3/5

(c) 1/40

(d) None of these

## Answer

B

**Question. What is the ratio of the distribution of proteins in the muscles to that distribution of proteins in the bones? **

(a) 1 : 18

(b) 18 : 1

(c) 2 : 1

(d) 1 : 2

## Answer

C

**Question. To show the distribution of proteins and other dry elements in the human body, they are of the circle should subtend at the centre an angle of : **

(a) 50°

(b) 126°

(c) 108°

(d) 252°

## Answer

C

**Question. What will be the quantity of water in the body of a person weighing 50 kg? **

(a) 20 kg

(b) 35 kg

(c) 71.42 kg

(d) 120 kg

## Answer

B

**Question. What percent of the weight of human body is equivalent to the weight of the skin in human body? **

(a) .016

(b) 1.6

(c) 0.16

(d) Data inadequate

## Answer

B

**Match the Column****The following sub-divided bar diagram depicts the result of (b)Com. Students of a college of a three years. **

**Read the diagram carefully and answer the questions given below it.**

**Question. Observe the following columns: **

(a) A→1; B→3; C→4; D→2

(b) A→1; B→3; C→2-4; D→2

(c) A→2; B→4-5; C→3,1; D→2

(d) A→2; B→1-4; C→3; D→2

## Answer

A

**Question. The mode of the distribution: **

Marks | 4 | 5 | 6 | 7 | 8 |

No. of students | 6 | 7 | 10 | 8 | 3 |

## Answer

6

**Question. If the mean of the distribution is 2.6, then the value of y is: **

Variate x | 1 | 2 | 3 | 4 | 5 |

Frequency f of x | 4 | 5 | Y | 1 | 2 |

## Answer

8

** Question**. **If Q.(d) is 16, the most likely value of S.(d) will be? **

## Answer

24

**Question. In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class are 72, then what are the average marks of the girls? **

## Answer

65

**Question. What is the standard deviation of the following series? **

Measurements | 0-10 | 10-20 | 20-30 | 30-40 |

Frequency | 1 | 3 | 4 | 2 |

## Answer

9