Final answer:
The false statement among the options given is that c. 'Variance is a more intuitive measure of dispersion.' Variance is considered less intuitive because it is calculated in squared units, whereas standard deviation is generally more intuitive since it is in the same units as the original data.
Step-by-step explanation:
The correct statement regarding variance and standard deviation that holds true is that both variance and standard deviation are measures of variability. The statement "Variance is the square of the standard deviation" is also true, as variance is indeed calculated as the standard deviation squared.
This leads to the fact that standard deviation is a more intuitive measure of dispersion because it is expressed in the same units as the data, making it easier to understand and interpret in the context of the data set.
However, the statement that "Variance is a more intuitive measure of dispersion" is false. Variance is not generally considered more intuitive because it is expressed as the units of the data squared, which can be harder to conceptualize compared to the standard deviation which is in the same units as the data.
To calculate the standard deviation, one must first compute the variance and then take its square root, defining the standard deviation as the variability around the mean of a dataset. Therefore, it's evident that variance is not more intuitive than standard deviation, making choice (c) the incorrect statement among the options.