HSC Commerce Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

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.

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?

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

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

Resolve into Partial Fractions:

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

Resolve into Partial Fractions:

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

Decompose into Partial Fractions:

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

Decompose into Partial Fractions:

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

Which of the following is positional measure?

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

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

The best measure of central tendency is _________.

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

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

The geometric mean of two numbers 8 and 18 shall be

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

Harmonic mean is the reciprocal of _________

Median is the same as:

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

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