What are the mean, median, and mode of the data set? 81, 85, 82, 93, 85, 84, 95, 87, 88, 91
To calculate the mean, add up all the numbers and then divide by the number of values in the data set:
(81+85+82+93+85+84+95+87+88+91)/10 = 871/10 = 87.1 (mean)
To calculate the median, first arrange the numbers in increasing order:
81, 82, 84, 85, 85, 87, 88, 91, 93, 95
Since there are 10 numbers (an even amount), we'll find the average of the 5th and 6th numbers:
(85+87)/2 = 86 (median)
To calculate the mode, find the number that appears most frequently in the data set:
85 appears twice in the data set, while all other numbers appear only once. Therefore, the mode is 85.
So, for the given data set:
Mean = 87.1
Median = 86
Mode = 85