Final answer:
For a chart on measures of center for variables, the mean, median, and mode should be entered. The median is the most appropriate measure when data is skewed or contains outliers, and for symmetrical distributions, the mean, median, and mode are equal.
Step-by-step explanation:
In filling the chart concerning the measures of center for the variables, the correct entries would be b) Mean, Median, and Mode. These three are the central tendency measures that represent the center of a dataset. The mean is the average of the data, the median is the middle value when the data are ranked in order, and the mode is the most frequently occurring value.
When examining the shape of the data, if the data is symmetrical, then the mean, median, and mode will coincide. This is true for a normal distribution. However, in case the data are skewed or contain outliers, the median is often the most appropriate measure of center because it is not as influenced by extreme values as the mean.
To answer the specific exercise questions, when given a dataset—such as 10; 11; 15; 15; 17; 22—you would first calculate the mean by summing all the numbers and dividing by the number of values. To calculate the sample standard deviation, you would use the corresponding formula that considers the mean and the squared differences from the mean. For a data set that is symmetrical, the mean, median, and mode would all be equivalent.