Question

the botanist decided to count the number of daisies x in each of the 80 randomly selected squares with the field. find the mean and variance

Answer 1

The results are summarised below

$$\sum x=295, \sum x^2=1386$$

$$Mean=\bar{x}=\dfrac{\sum x}{n}=\dfrac{295}{80}=3.6875\approx3.69$$

$$Variance=\sigma^2=\dfrac{\sum x^2}{n}-(\bar{x})^2=\dfrac{1386}{80}-(3.6875)^2$$

$$=\dfrac{1386}{80}-(3.6875)^2=3.72734375\approx3.73$$