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Question 4
Learning Check 2
A normal distribution has a mean equal to 5 . What is the value of the median and mode in this distribution?
Use the editor to format your answer
Question 4
Learning Check 2
A normal distribution has a mean equal to 5 . What is the value of the median and mode in this distribution?
Use the editor to format your answer
Ask by Davey Reese. in the United States
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Median = 5, Mode = 5
Solution
- A normal distribution is symmetric about its mean.
- Therefore, the mean, median, and mode are all equal.
- Given that the mean is
, it follows that the median is and the mode is .
Final answer: Median =
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
In a normal distribution, the mean, median, and mode are all the same value. So, if the mean is 5, that means the median and mode are also equal to 5. This is one of the delightful properties of a normal distribution, reflecting its symmetry around the mean!
To visualize, imagine a perfectly shaped bell curve centered at 5. This implies that half of the data falls below 5, and half falls above it. The peak of the bell, where most values gather, also corresponds to 5, highlighting the harmony in these statistical measures!
