QuestionConsider the distribution of the numbers of the ages of patrons who visit an amusement park. Complete parts (a) through (d) below. D. There would probably be no peaks. People of all ages are equally likely to visit an amusement park and the distribution would be uniform. b. Make a sketch of the distribution. Choose the correct answer below. A. B. C. D. c. Would you expect the distribution to be symmetric, left-skewed, or right-skewed? Explain. A. The distribution would probably be right-skewed because there is a clear minimum age but no obvious maximum age for people who visit an amusement park. B. The distribution would probably be symmetric because there are no obvious factors to indicate that any particular age group is more likely to visit an amusement park. C. The distribution would probably be left-skewed because there is a clear maximum age but no obvious minimum age for people who visit an amusement park. D. The distribution would probably be symmetric because there are four distinct age groups that visit amusement parks. d. Would you expect the variationpf the distribution to be small, moderate, or large? Explain. A. The variation would probably be large because there are many amusement parks that people can visit, not just a single amusement park. B. The variation would probably be large because people of ages far from the mode also visit amusement parks. C. The variation would probably be moderate because there are no obvious factors that would make it small or large. D. The variation would probably be small because most people who visit amusement parks are about the same age.
Studdy Solution
STEP 1
1. The problem involves understanding the distribution of ages of patrons visiting an amusement park.
2. The task is to complete parts (a) through (d) based on the given options and descriptions.
STEP 2
1. Analyze part (a) regarding the presence of peaks in the distribution.
2. Sketch the distribution for part (b) by selecting the correct graph.
3. Determine the skewness of the distribution for part (c).
4. Assess the variation of the distribution for part (d).
STEP 3
Analyze part (a):
- The statement suggests that there are no peaks, implying a uniform distribution where all ages are equally likely.
STEP 4
Sketch the distribution for part (b):
- Based on the description in part (a), the correct graph would be one that represents a uniform distribution.
- Choose Graph C, which shows a flat line, indicating a uniform distribution.
STEP 5
Determine the skewness for part (c):
- Option A is selected, indicating a right-skewed distribution.
- This suggests that there is a clear minimum age but no obvious maximum age for amusement park visitors.
STEP 6
Assess the variation for part (d):
- Option B is appropriate, indicating that the variation is large because people of ages far from the mode also visit amusement parks.
The solution for each part is:
- Part (a): No peaks, uniform distribution.
- Part (b): Graph C is the correct sketch.
- Part (c): Right-skewed distribution (Option A).
- Part (d): Large variation (Option B).
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