Question

11. Students were given a crossword puzzle. The time taken (in
minutes) by them to complete the crossword is given below: 10, 12,
15, 8, 10, 12, 12, 8, 10, 8, 12, 11, 11 Find the median and mode for the
above data
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Answer 1

Answer:

Given observations: 10 ,12 ,15 ,8 ,10 ,12 ,12 ,8 ,10 ,8 ,12 ,11 ,11.

First arrange these observations in ascending order

               8, 8, 8, 10,10,10,11 ,11 ,12 ,12 ,12 ,12 ,15

The total number of terms = n = 13

Median = {(n+1)/2}th term = {(13+1)/2}th term

            = 7th term = 11 (the 7th term in the arranged observation list)

MEDIAN = 11(Ans)

Since, the number '12' is repeated for the most number of times

Therefore, MODE = 12(Ans)

Step-by-step explanation: