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, 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, xf, 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. construct a frequency distribution for the data set using 6 classes. class frequency 1 2 3 4 5 6

Explanation:

Step1: Count occurrences of 1

Count how many times 1 appears in the data - set. By going through the 30 - roll data, we find that 1 appears 6 times.

Step2: Count occurrences of 2

Count how many times 2 appears. We find that 2 appears 7 times.

Step3: Count occurrences of 3

Count how many times 3 appears. We find that 3 appears 6 times.

Step4: Count occurrences of 4

Count how many times 4 appears. We find that 4 appears 5 times.

Step5: Count occurrences of 5

Count how many times 5 appears. We find that 5 appears 4 times.

Step6: Count occurrences of 6

Count how many times 6 appears. We find that 6 appears 2 times.

Answer:

Class	Frequency
2	7
3	6
4	5
5	4
6	2