For a bell-shaped distribution with µ = 30, what is the most probable value for the mode?Group of answer choicesgreater than 30less than 30300
Question
For a bell-shaped distribution with , what is the most probable value for the mode?
Group of answer choices
- greater than 30
- less than 30
- 30
- 0
Solution
In a bell-shaped distribution, which is typically a normal distribution, the mode is the value that occurs most frequently. For a normal distribution:
- Mean (µ): This is the average of the distribution.
- Median: This is the middle value when the data is sorted.
- Mode: This is the most frequently occurring value in the distribution.
In a perfectly symmetrical bell-shaped (normal) distribution, the mean, median, and mode are all the same. Since you specified that the mean (µ) is 30, it follows that:
- The mode = µ = 30.
Final Answer
The most probable value for the mode is 30.
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