# Probability and Measures of Central Tendency

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Probability & Measures of Central Tendency Part 1 The data collected for this paper will be the number of minutes spent on the commute to school each day for a ten day period. The commute is generally between 20 and 30 minutes, though traffic problems, particularly accidents, can greatly increase the time for the commute. Minutes Per Day Spent on Commuting EMBED Excel.Sheet.12 Part II Using the data you have collected in above, please do the following: Calculate the mean, median, and mode. The mean is the number many people refer to as the arithmetic average. It is the sum of the results divided by the total number of data points collected. The mean is: (23+23+27+22+19+30+32+23+24+47)/10 = 27 The median is the number in the middle of a distribution, once that distribution has been placed in ascending or descending order. In ascending order, the results are: 19, 22, 23, 23, 23, 24, 27, 30, 32, 47. Because 10 is an even number, the median is the mean of the two middle numbers. The two middle numbers are 23 and 24. Therefore, the median is 23.5. The mode is the number occurring most frequently in the distribution. The results are: 19, 22, 23, 23, 23, 24, 27, 30, 32, 47. Therefore, the mode is 23. Are these numbers higher or lower than you would have expected? The numbers are what I expected. Which of these measures of central tendency do you think most accurately describes the lifestyle variable you are looking at? Both the median and the mode do