Exercise – Measure of Tendency

         1. Below is a list of grades obtained by a class of 40 students in  Mathematics test.

    (a)   Present the results in a frequency table.

    (b)   Draw the histogram of the distribution.

    (c)   What is the mode?

    (d)   What is the Median?

    (e)   What is the Mean?

          2. In an objective test, the students were asked to answer ten questions. The histogram below
         shows the number of questions attempted by the students.

               (a)    Present this information in a frequency table.

               (b)  i)  How many students attempted 6 questions or less?

                ii)  How many students attempted 8 questions or more?

                iii) How many students attempted exactly 7 questions?

               (c)    How many students took the test?

               (d)   Find the mean, mode and median of the number of questions attempted. 

         3.       Two dice were thrown together and the two numbers were added together to arrive at a
               score.This was repeated for 30 throws. The results are given below.

              (a)    Draw a histogram of the distribution.

              (b)    What are the mode and median of the distribution?

              (c)    What is the mean score?