Explain how the relationship between the mean and median provides information about the symmetry or skewness of the data's distribution. Select the correct answer below. A. The mean is affected by extreme values , while the median is not. If the data set is skewed to the right, then the median is less than the mean. If the data set is symmetric , the mean equals the median. If the data set is skewed to the left.the mean is less than the median. B. The mean is affected by extreme values , while the median is not. If the data set is skewed to the right, then the median is greater than the mean. If the data set is symmetric , the mean equals the median. If the data set is skewed to the left the mean is greater than the median. C. The median is affected by extreme values while the mean is not. If the data set is skewed to the right, then the median is greater than the mean. If the data set is symmetric,the mean equals the median. If the data set is skewed to the left.the mean is greater than the median. D. The median is affected by extreme values , while the mean is not. If the data set is skewed to the right, then the median is less than the mean. If the data set is symmetric the mean equals the median. If the data set is skewed to the left the mean is less than the median.

Question

Explain how the relationship between the mean and median provides information about the symmetry or skewness of the data's distribution. Select the correct answer below. A. The mean is affected by extreme values , while the median is not. If the data set is skewed to the right, then the median is less than the mean. If the data set is symmetric , the mean equals the median. If the data set is skewed to the left.the mean is less than the median. B. The mean is affected by extreme values , while the median is not. If the data set is skewed to the right, then the median is greater than the mean. If the data set is symmetric , the mean equals the median. If the data set is skewed to the left the mean is greater than the median. C. The median is affected by extreme values while the mean is not. If the data set is skewed to the right, then the median is greater than the mean. If the data set is symmetric,the mean equals the median. If the data set is skewed to the left.the mean is greater than the median. D. The median is affected by extreme values , while the mean is not. If the data set is skewed to the right, then the median is less than the mean. If the data set is symmetric the mean equals the median. If the data set is skewed to the left the mean is less than the median.

Answer 1

The correct answer is B. The mean is affected by extreme values, while the median is not. If the data set is skewed to the right, then the median is greater than the mean. If the data set is symmetric, the mean equals the median. If the data set is skewed to the left, the mean is greater than the median.

Answer 2

## Step 1The mean and median are two measures of central tendency in statistics. The mean is the average of all the values in a data set, while the median is the middle value when the data set is ordered from least to greatest.## Step 2The relationship between the mean and median can provide information about the symmetry or skewness of the data's distribution. ## Step 3When a data set is symmetric, the mean and median are equal. This is because the data points are evenly distributed on both sides of the mean and median.## Step 4When a data set is skewed to the right (or positively skewed), the mean is greater than the median. This is because the mean is influenced by extreme values (outliers), while the median is not. In a right-skewed distribution, the outliers are larger than the majority of the data points, which pulls the mean to the right.## Step 5When a data set is skewed to the left (or negatively skewed), the mean is less than the median. This is because the outliers are smaller than the majority of the data points, which pulls the mean to the left.

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