A group of students was given a special test in Mathematics. The test was completed by the various students in the following time in (minutes) 24, 30, 28, 17, 22, 36, 30, 19, 32, 18, 20, 24.
Find the mean time and median time taken by the students to complete the test.
Solution:
First arrange the data in descending order
17, 18, 19, 20, 22, 24, 24, 28, 30, 30, 32, 36
So n = 12 which is even
Mean (x̄) = Ʃ xi/n
= (17 + 18 + 19 + 20 + 22 + 24 + 24 + 28 + 30 + 30 + 32 + 36)/2
= 300/12
= 25
Median = ½ [12/2th + (12/2 + 1)th terms]
= ½ (6th + 7th) terms
= ½ (24 + 24)
= ½ (48)
= 24
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