2. Explain the difference between mean and median in a skewed distribution.

Think of your own example of a data set that would follow a normal distribution and explain why.

105, 82, 94.5, 72.5, 92, 91, 52, 86, 100, 96, 98, 109, 96, 36, 98, 95

2. Given the following observations from a sample, calculate the mean, the median, and the mode. 4 0 -6 1 -3 -4

For the sample scores in the frequency distribution table below, the median is 1 4 4. 1 1 1 3.

It is widely claimed that a histogram is skewed to the left when the median is greater than the mean and to the right when the median is less than the mean. But there are exceptions to this claim. Demonstrate this exception by creating a data set that has at least 15 samples and plot the histogram.

AFTER ENTERING TEST SCORES FROM HER STATISTICS CLASS, THE INSTRUCTOR CALCULATES THE MEAN AND THE MEDIAN AND FINDS THAT THE MEAN IS SIGNIFICANTLY SMALLER THAN THE MEDIAN? WHAT MIGHT THIS IMPLY ABOUT THE SHAPE OF THE DISTRIBUTION OF HER STUDENTS' TEST SCORES?

ryan has collected data on individual income (reported in dollars) and has not found any outliers. ryan wants to calculate the average income in his data. which measure of central tendency should he use? -mean -variance -mode -median

Is the mean, median, or mode most sensitive to the presence of outliers?

3. Explain the concept of mode in statistics.