Find the mean, median, and mode of the data set Explain which measure of central tendency best describes the data.
pages of homework: 2 2 2 5 3 9 7 3 5 2
The mean can be found by adding up all the numbers in the data set and dividing by the total number of values:
(2 + 2 + 2 + 5 + 3 + 9 + 7 + 3 + 5 + 2) / 10 = 4.8
The median is the middle value in the dataset when the values are arranged in numerical order. Since there are an even number of values, we take the average of the two middle values:
2, 2, 2, 2, 3, 3, 5, 5, 7, 9
The median is (3 + 5) / 2 = 4.
The mode is the value that occurs most frequently in the data set. In this case, the mode is 2.
Based on these calculations, we could say that the mean best describes the data. However, since there are several repeated values and a clear mode, one could also make an argument for using the mode as the best measure of central tendency. Ultimately, the best choice depends on the context in which the data is being used.