Find the mean, median, and modes of the data set: 91, 93, 89, 97, 89, 98, 94, 93.
(2 points)
The mean is__
The median is__
The first mode in the data set is__
The second mode in the data set is__
Mean: (91 + 93 + 89 + 97 + 89 + 98 + 94 + 93) / 8 = 92.75
To find the median, we first need to arrange the data set in numerical order:
89, 89, 91, 93, 93, 94, 97, 98
Since there is an even number of data points, the median is the average of the two middle numbers:
(93 + 94) / 2 = 93.5
Modes are the numbers that appear most frequently in the data set. In this case, the modes are 89 and 93 since they each appear twice.