11th Business Maths Monthly Test - 4 ( Descriptive Statistics and Probability )

MABS Institution

11th Business Maths Monthly Test - 4 ( Descriptive Statistics and Probability )-Aug 2020

Time : 2.00 Hours

Part - A

Generic 5 - Answer All Question

Find D₆,D₈,P₇ and P₂₀ for the data 57, 58, 61, 42, 38, 65, 72, 66.

Compute mean deviation about median from the following data:

Height in inches 58 59 60 61 62 63 64 65 66

No. of students 15 20 32 35 35 22 20 10 8

A, B and C was 50% , 30% and 20% of the cars in a service station respectively. They fail to clean the glass in 5% , 7% and 3% of the cars respectively. The glass of a washed car is checked. What is the probability that the glass has been cleaned?

Compute upper Quartiles, lower Quartiles, D4 and P60, P75 from the following data

CI 10-20 20-30 30-40 40-50 50-60 60-70 70-80

Frequency 12 19 5 10 9 6 6

Calculate Mean deviation about median of the following data.

Class interval: 0-10 10-20 20-30 30-40 40-50 50-60

Frequency: 6 7 15 16 4 2

There are 1000 students in a school out of which 450 are girls. It is known that out of 450, 20% of the girls studying in class XI. A student is randomly selected from 1000 students. What is the probability that the selected student is from class XI given that the selected student is a girl?

Calculate the quartile deviation and its coefficient from the following data:

Age in Years: 20 30 40 50 60 70 80

No. of members: 13 61 47 15 10 18 36

Age in Years:	20	30	40	50	60	70	80
No. of members:	13	61	47	15	10	18	36

In a Shooting test, the probabilities of hitting the target are \(\frac { 1 }{ 2 } \) for A, \(\frac { 2 }{ 3 } \) for B and \(\frac { 3 }{ 4 } \) for C. If all of them fire at the same target, calculate the probabilities that only one of them hit the target.

Compute the mean deviation about mean from the following data:

Class Interval 0-5 5-10 10-15 15-20 20-25

Frequency f 3 5 12 6 4

Class Interval	0-5	5-10	10-15	15-20	20-25
Frequency f	3	5	12	6	4

A factory has 3 machines A₁, A₂, A₃ producing 1000, 2000, 3000 bolts per day respectively. A₁ produces 1% defectives, A₂ produces 1.5% and A₃ produces 2% defectives. A bolt is chosen at random and found defective. What is the probability that it comes from machine A₁?

In a shooting test the probability of hitting the target are \(\frac{3}{4}\) for A, \(\frac{1}{2}\) for B and \(\frac{2}{3}\) for C. If all of them fire at the same target, calculate the probabilities that
(i) All the three hit the target
(ii) Only one of them hits the target
(iii) At least one of them hits the target

Bag I contains 3 Red and 4 Black balls while another Bag II contains 5 Red and 6 Black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from Bag I.

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Height in inches	58	59	60	61	62	63	64	65	66
No. of students	15	20	32	35	35	22	20	10	8

Class interval:	0-10	10-20	20-30	30-40	40-50	50-60
Frequency:	6	7	15	16	4	2

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Institutions

12th Standard English Medium

12th Standard Tamil Medium

11th Standard English Medium

11th Standard Tamil Medium

10th Standard English Medium

9th Standard English Medium

8th Standard English Medium

7th Standard English Medium

Class XII

Class XI

12Th Standard

11Th Standard

10Th Standard

9Th Standard

11th Business Maths Monthly Test - 4 ( Descriptive Statistics and Probability )

MABS Institution

11th Business Maths Monthly Test - 4 ( Descriptive Statistics and Probability )-Aug 2020

Part - A

Generic 5 - Answer All Question

Find D6,D8,P7 and P20 for the data 57, 58, 61, 42, 38, 65, 72, 66.

Compute mean deviation about median from the following data: Height in inches 58 59 60 61 62 63 64 65 66 No. of students 15 20 32 35 35 22 20 10 8

A, B and C was 50% , 30% and 20% of the cars in a service station respectively. They fail to clean the glass in 5% , 7% and 3% of the cars respectively. The glass of a washed car is checked. What is the probability that the glass has been cleaned?

Compute upper Quartiles, lower Quartiles, D4 and P60, P75 from the following data CI 10-20 20-30 30-40 40-50 50-60 60-70 70-80 Frequency 12 19 5 10 9 6 6

Calculate Mean deviation about median of the following data. Class interval: 0-10 10-20 20-30 30-40 40-50 50-60 Frequency: 6 7 15 16 4 2

There are 1000 students in a school out of which 450 are girls. It is known that out of 450, 20% of the girls studying in class XI. A student is randomly selected from 1000 students. What is the probability that the selected student is from class XI given that the selected student is a girl?

Calculate the quartile deviation and its coefficient from the following data: Age in Years: 20 30 40 50 60 70 80 No. of members: 13 61 47 15 10 18 36

In a Shooting test, the probabilities of hitting the target are \(\frac { 1 }{ 2 } \) for A, \(\frac { 2 }{ 3 } \) for B and \(\frac { 3 }{ 4 } \) for C. If all of them fire at the same target, calculate the probabilities that only one of them hit the target.

Compute the mean deviation about mean from the following data: Class Interval 0-5 5-10 10-15 15-20 20-25 Frequency f 3 5 12 6 4

A factory has 3 machines A1, A2, A3 producing 1000, 2000, 3000 bolts per day respectively. A1 produces 1% defectives, A2 produces 1.5% and A3 produces 2% defectives. A bolt is chosen at random and found defective. What is the probability that it comes from machine A1?

Bag I contains 3 Red and 4 Black balls while another Bag II contains 5 Red and 6 Black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from Bag I.

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Tamilnadu Stateboardszs - Class

Find D₆,D₈,P₇ and P₂₀ for the data 57, 58, 61, 42, 38, 65, 72, 66.

Compute mean deviation about median from the following data:

Height in inches 58 59 60 61 62 63 64 65 66

No. of students 15 20 32 35 35 22 20 10 8

Compute upper Quartiles, lower Quartiles, D4 and P60, P75 from the following data

CI 10-20 20-30 30-40 40-50 50-60 60-70 70-80

Frequency 12 19 5 10 9 6 6

Calculate Mean deviation about median of the following data.

Class interval: 0-10 10-20 20-30 30-40 40-50 50-60

Frequency: 6 7 15 16 4 2

Calculate the quartile deviation and its coefficient from the following data:

Age in Years: 20 30 40 50 60 70 80

No. of members: 13 61 47 15 10 18 36

Compute the mean deviation about mean from the following data:

Class Interval 0-5 5-10 10-15 15-20 20-25

Frequency f 3 5 12 6 4

A factory has 3 machines A₁, A₂, A₃ producing 1000, 2000, 3000 bolts per day respectively. A₁ produces 1% defectives, A₂ produces 1.5% and A₃ produces 2% defectives. A bolt is chosen at random and found defective. What is the probability that it comes from machine A₁?