Answer :
Final answer:
The arithmetic mean of the data set is 45.7. The median is 38.7. The mode is 63.4.
Explanation:
The arithmetic mean of a data set is the average of all the values. To find the mean, add up all the values and divide by the total number of values. In this data set: 31.8 + 63.4 + 47.2 + 26.8 + 44.6 + 32.8 + 63.4 + 63.4 + 45.4 + 59.4 = 457. The mean is 457/10 = 45.7.
The median of a data set is the middle value when the values are arranged in ascending order. Since this data set has 10 values, the median would be the average of the 5th and 6th values when arranged in order. The 5th value is 32.8 and the 6th value is 44.6, so the median is (32.8 + 44.6)/2 = 38.7.
The mode of a data set is the value that appears most frequently. In this data set, the value 63.4 appears twice, which is more than any other value, so the mode is 63.4.
Learn more about Mean, Median, Mode here:
https://brainly.com/question/30891252
#SPJ12
