Question

find the range and the mode for the data.
(a) range:
(b) mode:
the eight cats in a pet store were weighed. their weights (in pounds) are given in the dot - plot below. (a dot represents a single cat.)

Explanation:

Step1: Find the range

The range is calculated by subtracting the minimum value from the maximum value.
From the dot - plot, the minimum value \(x_{\text{min}} = 1\) and the maximum value \(x_{\text{max}}=8\).

$$ \text{Range}=x_{\text{max}}-x_{\text{min}} $$

$$ \text{Range}=8 - 1 $$

$$ \text{Range}=7 $$

Step2: Find the mode

The mode is the value that appears most frequently in the data set.
From the dot - plot, the value \(6\) has the most number of dots (4 dots).

Answer:

(a) Range: \(7\)
(b) Mode: \(6\)