High School

Determine the mean, median, and mode of the following data set: 38, 56.5, 56.5, 16.1, 23.8, 32.4, 56.5, 42.8, 23.5, 37.

Round answers to the nearest hundredth.

a) Mean = 38.73, Median = 37.9, Mode = 56.5
b) Mean = 39.73, Median = 37.8, Mode = 56.5
c) Mean = 38.73, Median = 37.8, Mode = 56.6
d) Mean = 39.73, Median = 37.9, Mode = 56.6

Answer :

Final answer:

The correct answer is option c. The mean, median, and mode of the given data set are 38.73, 37.8, and 56.5 respectively.

Explanation:

The mean, median, and mode of the given data set are:

Mean: 38.73

Median: 37.8

Mode: 56.5

To find the mean, add up all the values in the data set and divide by the total number of values. To find the median, arrange the values in ascending order and find the middle value. If there are two middle values, find the average of the two. To find the mode, identify the value(s) that occur most frequently in the data set.

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