for a given large data set exactly half of the data values a

for a given large data set exactly half of the data values are equal to 5 with the other half equal to 15

a. what is the median of the data set

b. what is the mode of the data set

c. what is the mean of the data set

Solution

Let number of data points=n

a) median = (5+15)/2 = 10

b) In case of mode, since two adjacent variables have same frequency, mode = 10

c) mean = ( (n/2)*5+(n/2)*15)/n = 10