Which of the following distribution satisfy the following relationship: Mode < Median < Mean?Answer choicesSelect only one optionREVISITA) Positive skewedB) Negative skewedC) Bi-modalD) Normal8/10 questions attempted
Question
Which of the following distribution satisfy the following relationship: Mode < Median < Mean?Answer choicesSelect only one optionREVISITA) Positive skewedB) Negative skewedC) Bi-modalD) Normal8/10 questions attempted
Solution
The distribution that satisfies the relationship Mode < Median < Mean is a Positive skewed distribution.
Here's why:
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In a positively skewed distribution, most of the data falls to the right, or positive side, of the graph's peak. Thus the "tail" of the distribution skews to the right or positive side.
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The mode, or the most frequently occurring number, will be located at the peak of the distribution on the left side.
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The median, or middle value, will be located to the right of the mode because it is the middle point of the data set and there are more data points to the right.
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The mean, or average, will be located to the right of both the mode and median because it is influenced by the high values in the "tail" of the distribution, pulling it to the right.
So, the correct answer is A) Positive skewed.
Similar Questions
The Mean, Median & Mode are the same for aAnswer choicesSelect only one optionREVISITA) Normal DistributionB) Left Skewed DistributionC) Right Skewed DistributionD) Sampling Distribution3/10 questions attempted
For a moderately skewed distribution, which of the following relationshipholds?(a) Mean – Median = 3 (Median – Mode)(b) Median -Mode = 3 (Mean -Median)(c) Mean – Mode = 3 (Mean – Median)(d) Mean – Median 3 (Mean – Mode)
In a right-skewed distribution, which is greater?Question 3Answera.the meanb.the medianc.the mode
Which of the following statements is true?Group of answer choicesA. When the distribution is skewed to the left, mean > median > mode.B. When the distribution is skewed to the right, mean < median < mode.C. When the distribution is symmetric and unimodal, mean = median = mode.D. When the distribution is symmetric and bimodal, mean = median = mode.E. None of the above is correct.
In a negatively skewed distribution, the mode is ______ the median and ______ mean.Choose onegreater than; greater thanless than; less thangreater than; less thanless than; greater than
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