Consider the following statements in respect of a histogram.

1. The total area of the rectangles in a histogram is equal to the total area bounded by the corresponding frequency polygon and the X-axis.

2. When class intervals are unequal in a frequency distribution, the area of the rectangle is proportional to the frequency.

Which of the above statements is/are correct?

If m is the geometric mean of $${\left( {{y \over z}} \right)^{\log (yz)}}$$, $${\left( {{z \over x}} \right)^{\log (zx)}}$$ and $${\left( {{x \over y}} \right)^{\log (xy)}}$$, then what is the value of m?

Consider the following statements :

1. Coefficient of variation depends on the unit of measurement of the variable.

2. Range is a measure of dispersion.

3. Mean deviation is least when measured about median.

Which of the above statements are correct?

Given that the arithmetic mean and standard deviation of a sample of 15 observations are 24 and 0 respectively. Then which one of the following is the arithmetic mean of the smallest five observations in the data?