In a data set, if the mode is 15 and the mean is 20, what can be said about the

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Question: In a data set, if the mode is 15 and the mean is 20, what can be said about the data?

Options:

Correct Answer: Positively skewed

Solution:

Since the mean is greater than the mode, the data is positively skewed.

In a data set, if the mode is 15 and the mean is 20, what can be said about the data?

In a data set, if the mode is 15 and the mean is 20, what can be said about the data?

Step 1: Understand what mode means. The mode is the number that appears most often in a data set. In this case, the mode is 15.
Step 2: Understand what mean means. The mean is the average of all the numbers in the data set. Here, the mean is 20.
Step 3: Compare the mean and the mode. The mean (20) is greater than the mode (15).
Step 4: Know what positive skew means. A positively skewed data set has a longer tail on the right side, meaning there are some higher values that pull the mean up.
Step 5: Conclude that since the mean is greater than the mode, the data is positively skewed.

Mode – The mode is the value that appears most frequently in a data set.
Mean – The mean is the average of all values in a data set, calculated by dividing the sum of all values by the number of values.
Skewness – Skewness refers to the asymmetry of the distribution of values in a data set, indicating whether the data is skewed to the left (negatively) or right (positively).