Directions – Study the information and answer the questions that follow.
Consider the following line graph regarding the outcomes generated when an 8-sided dice is rolled.
| 1. How many times was the dice rolled? | Easy |
| A. 8 B. 10 C. 50 D. None of these |
View Answer
Answer: Option C
Explanation:
Number of times the die was rolled = Sum of the frequencies
= 10 + 6 + 10 + 5 + 5 + 3 + 6 + 5 = 50
| 2. What was the relative frequency of rolling a 6? | Easy |
| A. 0.03 B. 0.06 C. 0.2 D. None of these |
View Answer
Answer: Option A
Explanation:
Relative frequency = frequency of outcome 6/total frequency
= 3/50 = 0.06
| 3. What was the cumulative frequency of rolling a 4? | Medium |
| A. 0.62 B. 0.5 C. 0.26 D. None of these |
View Answer
Answer: Option A
Explanation:
Cumulative frequency = sum of frequencies of all outcomes less than equal to 4/ total frequency
= (10+6+10+5) / (10+6+10+5+5+3+6+5)
= 31/50 = 0.62
| 4. What was the mean outcome? | Medium |
| A. 1.97 B. 3.25 C. 3.94 D. None of these |
View Answer
Answer: Option C
Explanation:
Mean outcome = (10*1 + 6*2 +10*3 + 5*4 + 5*5 + 3*6 + 6*7 + 5*8)/ (10+ 6+10+5+5+3+6+5)
= 3.94
| 5. What was the median outcome? | Difficult |
| A. 1 B. 3 C. 4 D. None of these |
View Answer
Answer: Option B
Explanation:
The median would be the value in the very middle after listing out all the values i.e., 10 1s, 6 2s, 10 3s, 5 4s, 5 5s, 3 6s, 6 7s, 5 8s, which add up to 50 values. Thus, we will have two middle values – the 25th value and the 26th value.
In the full list, the outcome of 3s starts at the 17th value and goes up to the 26th value. So, the 25th and the 26th values are both 3s. Thus, the median outcome is 3.