In a symmetrical distribution, the mean, median, and mode are:a.Equal to each otherb.Different from each otherc.Not applicabled.Cannot be determined
Question
In a symmetrical distribution, the mean, median, and mode are:
- a. Equal to each other
- b. Different from each other
- c. Not applicable
- d. Cannot be determined
Solution
In a symmetrical distribution, the mean, median, and mode are equal to each other. This is a key characteristic of symmetrical distributions such as the normal distribution.
- Mean: The average of all data points, which is located at the center of the distribution.
- Median: The middle value when all data points are arranged in order, which also coincides with the center in a symmetrical distribution.
- Mode: The most frequently occurring data point, which, in symmetrical distributions, is also located at the center.
Thus, in a symmetrical distribution, all three measures of central tendency coincide, leading us to conclude that the correct answer is:
Final Answer
a. Equal to each other.
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