Which statistic is most affected by outliers

We can see this in the distribution below. This distribution has only 10 scores. The one grade of 0 moves the mean into the C grade range. In this example, we look at how skewness in a data set affects the mean and median. The following histogram shows the personal income of a large sample of individuals drawn from U. Notice that it is strongly skewed to the right. This type of skewness is often present in data sets of variables such as income.

Here again we see that the mean income does not represent the typical income for this sample very well. The small number of people with higher incomes increase the mean. Both of these examples also highlight another important principle: Always plot the data.

We need to use a graph to determine the shape of the distribution. By looking at the shape, we can determine which measures of center best describe the data. How would removing the outlier affect the mean, median, and mode of the data? Tom recorded his daily caloric intake for 5 days.

The results were as follows: , , , , and How would removing the outlier affect the mean, median and mode of the data? What is data? Calculate the mean, median and mode of 11,14,14,17,17,41,44,47,71,74, For the above data: 1 Calculate the mean ,mode and the median.

The value that has half of the observations above it and half the observations below it is called the. How would you screen for outliers and what should you do if you find one? What are the measures of central tendency in descriptive statistics? What are measures of central tendency? What are measures of dispersion? What is the difference between measures of central tendency and measures of dispersion?

Arrange the data in ascending order. Round your answer off to the nearest hour. My class got the following marks 10,5,10,10,25,30, WHich average should I use? The mean, median or mode?

Since the mode is the most frequently occurring data value, it. The most frequently occurring value of a data set is called the:. What you notice in Figure 3. In this instance, the IQR is the preferred measure of spread because the sample has an outlier.

Breadcrumb Home 3 3. Example 3. Measures of Spread or Variation Recall the five-number summary from Example 3. Table 3. Dotplot of Salaries What you notice in Figure 3.