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HSC Science (Electronics) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Mathematics and Statistics
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Construct a matrix A = [aij]3 × 2 whose element aij is given by

aij = `(("i" - "j")^2)/(5 - "i")`

[1.4] Determinants and Matrices
Chapter: [1.4] Determinants and Matrices
Concept: undefined >> undefined

Construct a matrix A = [aij]3 × 2 whose element aij is given by

aij = i – 3j

[1.4] Determinants and Matrices
Chapter: [1.4] Determinants and Matrices
Concept: undefined >> undefined

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Construct a matrix A = [aij]3 × 2 whose element aij is given by

aij = `(("i" + "j")^3)/5`

[1.4] Determinants and Matrices
Chapter: [1.4] Determinants and Matrices
Concept: undefined >> undefined

Calculate coefficient of variation of marks secured by a student in the exam, where the marks are: 85, 91, 96, 88, 98, 82

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Find the coefficient of variation of a sample which has mean equal to 25 and standard deviation of 5

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

A group of 65 students of class XI have their average height is 150.4 cm with coefficient of variance 2.5%. What is the standard deviation of their height?

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Two workers on the same job show the following results:

  Worker P Worker Q
Meantime for completing the job (hours) 33 21
Standard Deviation (hours) 9 7
  1. Regarding the time required to complete the job, which worker is more consistent?
  2. Which worker seems to be faster in completing the job?
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

A company has two departments with 42 and 60 employees respectively. Their average weekly wages are Rs. 750 and Rs. 400. The standard deviations are 8 and 10 respectively: Which department has a larger bill?

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

A company has two departments with 42 and 60 employees respectively. Their average weekly wages are Rs. 750 and Rs. 400. The standard deviations are 8 and 10 respectively: Which department has larger variability in wages?

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

The following table gives weights of the students of two classes. Calculate the coefficient of variation of the two distributions. Which series is more variable?

Weight (in kg) Class A Class B
30-40 22 13
40-50 16 10
50-60 12 17
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Compute coefficient of variation for team A and team B:

No. of goals 0 1 2 3 4
No. of matches played by team A 19 6 5 16 14
No. of matches played by team B 16 14 10 14 16

Which team is more consistent?

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Given below is the information about marks obtained in Mathematics and Statistics by 100 students in a class. Which subject shows the highest variability in marks?

  Mathematics Statistics
Mean 20 25
S.D. 2 3
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Select the correct option from the given alternatives :

Standard deviation of data is 12 and mean is 72 then coefficient of variation is

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Answer the following :

Calculate coefficient of variation of the following data: 23, 27, 25, 28, 21, 14, 16, 12, 18, 16

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Answer the following :

Following data relates to the distribution of weights of 100 boys and 80 girls in a school:

  Boys Girls
Mean 60 47
Variance 16 9

Which of the two is more variable?

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Answer the following :

The mean and standard deviations of two bands of watches are given below :

  Brand-I Brand-II
Mean 36 months 48 months
S.D. 8 months 10 months

Calculate coefficient of variation of the two brands and interpret the results

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Answer the following :

Calculate the coefficient of variation for the data given below:

Size (cm) 5 - 8 8 - 11 11 - 14 14 - 17 17 - 20 20 - 23 23 - 26
No of items 3 14 13 16 19 24 11
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Answer the following :

Calculate coefficient of variation for the data given below:

Income
(Rs.)
3000 - 4000 4000 - 5000 5000 - 6000 6000 - 7000 7000 - 8000 8000 - 9000 9000 - 10000
No. of families 24 13 15 28 12 8 10
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Answer the following :

Compute coefficient of variations for the following data to show whether the variation is greater in the yield or in the area of the field:

Year Area
(in acres)
Yield
(in lakhs)
2011 - 12 156 62
2012 - 13 135 70
2013 - 14 128 68
2014 - 15 117 76
2015 - 16 141 65
2016 - 17 154 69
2017 - 18 142 71
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Answer the following :

There are two companies U and V which manufacture cars. A sample of 40 cars each from these companies are taken and the average running life (in years) is recorded

Life (in years) No of Cars
Company U Company V
0 - 5 5 14
5 - 10 18 8
10 - 15 17 18

Which company shows greater consistency?

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined
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