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If the difference between mean and Mode is 63, then the difference between Mean and Median will be ____________.
- a)63
- b)31.5
- c)21
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the difference between mean and Mode is 63, then the difference bet...
Mean, Mode, and Median are measures of central tendency used to describe the distribution of a set of data. The mean is the average of all the values in a dataset, the mode is the value that appears most frequently, and the median is the middle value when the dataset is arranged in order.
Given that the difference between mean and mode is 63, we can say that:
Mean - Mode = 63
We can also say that the mode is smaller than the mean because the mean is an average of all the values, so it is influenced by larger values in the dataset. Therefore:
Mean > Mode
To find the relationship between the mean and median, we need to consider the distribution of the dataset. If the dataset is symmetrical, the mean and median will be the same. If the dataset is skewed, the mean will be pulled in the direction of the skew, and the median will be closer to the center of the dataset.
In this case, we do not have information about the distribution of the dataset, so we cannot determine whether the mean is greater or less than the median. However, we can use the fact that the mode is less than the mean to make an estimate of the difference between the mean and median.
If the mode is less than the mean, and the difference between the mean and mode is 63, then the median will be closer to the mode than the mean. Therefore, we can estimate that:
Mean - Median > 63/2 = 31.5
So, the difference between the mean and median will be approximately 31.5. Therefore, option (c) is the correct answer.
Given that the difference between mean and mode is 63, we can say that:
Mean - Mode = 63
We can also say that the mode is smaller than the mean because the mean is an average of all the values, so it is influenced by larger values in the dataset. Therefore:
Mean > Mode
To find the relationship between the mean and median, we need to consider the distribution of the dataset. If the dataset is symmetrical, the mean and median will be the same. If the dataset is skewed, the mean will be pulled in the direction of the skew, and the median will be closer to the center of the dataset.
In this case, we do not have information about the distribution of the dataset, so we cannot determine whether the mean is greater or less than the median. However, we can use the fact that the mode is less than the mean to make an estimate of the difference between the mean and median.
If the mode is less than the mean, and the difference between the mean and mode is 63, then the median will be closer to the mode than the mean. Therefore, we can estimate that:
Mean - Median > 63/2 = 31.5
So, the difference between the mean and median will be approximately 31.5. Therefore, option (c) is the correct answer.
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If the difference between mean and Mode is 63, then the difference between Mean and Median will be ____________.a)63b)31.5c)21d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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