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Tamil Nadu Board of Secondary EducationHSC Commerce कक्षा ११

HSC Commerce कक्षा ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

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Business Mathematics and Statistics
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The monthly incomes of 8 families in rupees in a certain locality are given below. Calculate the mean, the geometric mean and the harmonic mean and confirm that the relations among them holds true. Verify their relationships among averages.

Family: A B C D E F G H
Income (Rs.): 70 10 50 75 8 25 8 42
[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

A man travelled by car for 3 days. He covered 480 km each day. On the first day, he drove for 10 hours at 48 km an hour. On the second day, he drove for 12 hours at 40 km an hour and for the last day he drove for 15 hours at 32 km. What is his average speed?

[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

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Calculate AM, GM and HM and also verify their relations among them for the following data.

X 5 15 10 30 25 20 35 40
f 18 16 20 21 22 13 12 16
[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

Calculate AM, GM and HM from the following data and also find its relationship:

Marks: 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60
No. of students: 5 10 25 30 20 10
[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

Resolve into Partial Fractions:

`(5x + 7)/((x-1)(x+3))`

[2] Algebra
Chapter: [2] Algebra
Concept: undefined >> undefined

Resolve into Partial Fractions:

`(x - 4)/(x^2 - 3x + 2)`

[2] Algebra
Chapter: [2] Algebra
Concept: undefined >> undefined

Decompose into Partial Fractions:

`(6x^2 - 14x - 27)/((x + 2)(x - 3)^2)`

[2] Algebra
Chapter: [2] Algebra
Concept: undefined >> undefined

Decompose into Partial Fractions:

`(5x^2 - 8x + 5)/((x - 2)(x^2 - x + 1))`

[2] Algebra
Chapter: [2] Algebra
Concept: undefined >> undefined

Which of the following is positional measure?

[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

When calculating the average growth of the economy, the correct mean to use is?

[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

When an observation in the data is zero, then its geometric mean is __________.

[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

The best measure of central tendency is _________.

[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

If `(kx)/((x + 4)(2x - 1)) = 4/(x + 4) + 1/(2x - 1)` then k is equal to:

[2] Algebra
Chapter: [2] Algebra
Concept: undefined >> undefined

The harmonic mean of the numbers 2, 3, 4 is:

[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

The geometric mean of two numbers 8 and 18 shall be

[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

The correct relationship among A.M., G.M. and H.M. is

[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

Harmonic mean is the reciprocal of _________

[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

Median is the same as:

[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

The median of 10, 14, 11, 9, 8, 12, 6 is

[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined

The mean of the values 11, 12, 13, 14 and 15 is

[8] Descriptive Statistics and Probability
Chapter: [8] Descriptive Statistics and Probability
Concept: undefined >> undefined
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