Final answer:
The measures of central tendency that summarize data are the median, mode, and mean. They help describe the typical value in a data set, with the median being less affected by outliers compared to the mean. The mode indicates the most frequent value present in the dataset.C is the correct answer.
Step-by-step explanation:
The measures used to summarize data by indicating the center of a distribution are the median, mode, and mean. These measures are known as measures of central tendency and provide a summary of what a typical response looks like within a dataset. The median is the middle value in an ordered dataset, the mode is the most frequently occurring value, and the mean, also known as the average, is the sum of all the data points divided by the number of points.
In a symmetrical distribution, the mean, median, and mode will all have the same value. When examining the shape of the data, the most appropriate measure of center can be determined. For data without significant outliers, the mean can be an appropriate measure, while for datasets with outliers or extreme values, the median may be more suitable as it does not get affected by extreme values. The mode is most useful when you want to know which value appears most often in the data set.
Regarding the given data set (10; 11; 15; 15; 17; 22), to compute the mean, you would add all numbers together and then divide by the count of numbers (6 in this case), and to compute the standard deviation, you would use the sample formula for the standard deviation which measures the spread of data around the mean.