the marks of 20 students in a test were as follows 2,6,8,9,10,1112,13,13,14,14,15,15,15,16,16,17,18,19 and 20 calculate mean median mode answer step by step solution
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The marks of 20 students in a test were as follows: 5, 6, 8, 9, 10, 11, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 18, 19, 20. Calculate the mean, median and mode.
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Step-by-step explanation:
As it is an ungrouped data,formulae are not required. Let's see them :-
1) Mean = sum of total value by number of values
=
= 12.789
2) Median = The middle value or if it has two middle values then two middle values by two.
(Note :- while deriving median,the values must be arranged in ascending order)
As their are 19 values,the middle value is the 10th one.
So,
M = 14
3) Mode = The most repeated value.
Here,the number 15 is repeated three times. So
Mode = 15
Hope it helps
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