Question

the results of rolling a six - sided die 30 times are shown. construct a frequency distribution and a frequency histogram for the data set using 6 classes. describe the shape of the histogram as symmetric, uniform, negatively skewed, or positively skewed.
1 3 6 2 5 4 2 5 4 6
1 2 5 3 5 6 3 2 3 1
6 6 2 4 1 3 3 6 2 4
determine what are the six classes
a. the frequency multiplied by the midpoint, $x f$, in the equation $\bar{x}=\frac{sum(xf)}{n}$
b. the possible dice rolls, therefore 1, 2, 3, 4, 5, 6
c. the classes are the weighted means of each die being rolled.
d. the frequency of each die being rolled.

Explanation:

Step1: Identify classes for dice - roll data

When rolling a six - sided die, the possible outcomes are the numbers on the die.

Step2: Analyze options

Option A refers to a calculation for the mean and not classes. Option C about weighted means is incorrect for defining classes here. Option D is about frequency not classes. Option B is correct as the classes for the data of rolling a six - sided die are the possible values on the die: 1, 2, 3, 4, 5, 6.

Answer:

B. The possible dice rolls, therefore 1, 2, 3, 4, 5, 6.