Question

The following data set represents the math test scores for a class of 20 students. 90 , 60 , 85 , 100 , 100 , 90 , 100 , 75 , 100 , 95 , 95 , 85 , 30 , 100 , 40 , 15 , 100 , 90 , 70 , 80 Identify the best measure of central tendency for this data set.

Answer 1

Answer: (20+1)/2=10.5

Step-by-step explanation:

The best measure of central tendency for this data set would be the median score, as it is not affected by outliers like the mean score.To calculate the median score, we need to arrange the data in ascending order and then find the middle score. According to the data set, the middle score is 85. Therefore, the median score is 85.Alternatively, we can use the formula for the median score:(n+1)/2, where n is the number of data points in the set.For this data set, n=20, so the formula becomes:(20+1)/2=10.5Rounded to the nearest whole number, the median score is 10, which is consistent with the previous method.Therefore, the median score is the best measure of central tendency for this data set, as it provides a robust representation of the central value, which is not skewed by outliers.