Find the median and mode of given set of numbers.
15,12, 19, 14, 21, 15, 21, 19, 17, 20, 18, 17, 19,17
Answers
Answer:
median us 191 and
mode is 21 and 19
Solution :-
Arranging the data in ascending order we get :- 12, 14, 15, 15, 17, 17, 17, 18, 19, 19, 19, 20, 21, 21 = Total terms = n = 14
So,
→ Median = [(n/2) th term + {(n/2) + 1} th term] / 2
→ Median = [(14/2) th term + (14/2 + 1) th term]/2
→ Median = (7th term + 8th term)/2
→ Median = (17 + 18)/2
→ Median = (35/2)
→ Median = 17.5 (Ans.)
Hence, median of given data is equal to 17.5 .
Now,
→ Mode of data = Data which appears most number of times = 17 and 19 = Both appears 3 times .
Therefore, Mode of data is 17 and 19 .
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