Consider the age of 12 students in our class as a sample data: 12 17 17 18 19 19
ID: 3207707 • Letter: C
Question
Consider the age of 12 students in our class as a sample data: 12 17 17 18 19 19 19 25 25 28 31 56 Find the mean and the mode. Find and interpret the standard deviation. Why don't we calculate it by simply adding all the deviation from the mean and divide it by the number of data set? Construct a plot of the data (with units). How does the shape (right skewed, left skewed, or symmetric).of the plot suggest that the sample mean and median will the compare? By how much could the value 56 be decreased without affecting the value of sample median? Give the five-number summary (minimum, first quartile, median, third quartile, maximum e) Is there any outlier in the dataset? Why or why not? And draw the corresponding box plot after identify any outlier. Calculate the trimmed mean for the sample by deleting the smallest and largest observation. What is the trimming percentage?Explanation / Answer
mean= 23.83
mode=19 because it has higher frequency
var=84.46
sd=9.190
min=12, max=56, 1st quartile=17, 2nd quartile=19, 3rd quartile=28.
stem and leaf
1 | 2,7,7,8,9,9,9
2 | 5,5,8
3 | 1
5 | 5
positively skewed.