The geometric mean of the observations x₁, x₂, x₃, ......., x_n is G₁. The geometric mean of the observations y₁, y₂, y₃, ......, y_n is G₂. The geometric mean of observations $${{{x_1}} \over {{y_1}}},{{{x_2}} \over {{y_2}}},{{{x_3}} \over {{y_3}}},....,{{{x_n}} \over {{y_n}}}$$ is

The arithmetic mean of 1, 8, 27, 64, ...... upto n terms is given by

Consider the following statements.

I. The mean and median are equal in symmetric distribution.

II. The range is the difference between the maximum value and the minimum value in the data.

III. The sum of the areas of the rectangles in the histogram is equal to the total area bounded by the frequency polygon and the horizontal axis.

Which of the above statements are correct?

The scores of 15 students in an examination were recorded as 10, 5, 8, 16, 18, 20, 8, 10, 16, 20, 18, 11, 16, 14 and 12. After calculating the mean, median and mode, an error is found. One of the values is wrongly written as 16 instead of 18. Which of the following measures of central tendency will change?