Solution

(a) $\text{Categorical/qualitative}$ variables places the individuals into a category, while a $\text{quantitative}$ variable is a numerical variable.

$\textbf{quantitative}$

The red blood cell count takes on numerical values, thus the variable is a quantitative variable.

The appropriate graph types for a quantitative variable are stem and leaf plot, dot plot, and relative frequency histogram.

However, tin this case, we only have small number of data values and then a dot-plot is the most appropriate (as it will be hard to determine the shape of the distribution in a stem and leaf plot and in a relative frequency histogram.

$\textbf{Categorical/qualitative}$

$$\text{Dotplot}$$

Create a number line

For every given data value place a dot above the corresponding number on the number line.

(b) The distribution is skewed left, because most of the dots in the dot-plot lie to the right in the dot-plot with a tail of more unusual dots to the left. The location of the red blood cell count is approximately 5.2, because most of the dot in the dot-plot lie above 5.2.

(c) We would consider a red blood cell count of 5.7$\times 10^6$/$\mu$L, because there are no dots above 5.7 in the dot-plot and a dot at 5.7 would be separated from the other dots by a gap.

The cause of the higher blood cell count could be due to the person not being a healthy person, which implies that the person could be ill.

Answers

(a) Use a dot-plot

(b) Skewed left, 5.2

(c) Yes, Person could be sick

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