porate 10 me year?
The marks obtained by 30 students of a class in an examination are given below:
22, 17, 13, 26, 29, 11, 22,15, 24,21, 24,23, 21, 27, 29, 25,15, 18, 27, 19, 14, 21, 15, 29, 20, 12, 21, 10, 16, 20
find the arithmetic mean, mode and range of the data.
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Answer:
Arithmetic Mean = 20.2
Range = 19
Mode = 21
Step-by-step explanation:
Arranging the marks obtained by 30 students of a class in an examination given to us in ascending order, we get;
10, 11, 12, 13, 14, 15, 15, 15, 16, 17, 18, 19, 20, 20, 21, 21, 21, 21, 22, 22, 23, 24, 24, 25, 26, 27, 27, 29, 29, 29
(a) Arithmetic Mean = Sum of all values ÷ Total number of observations
= 606 ÷ 30 = 20.2
(b) Range = Highest value in data - Lowest value in data
= 29 - 10 = 19
(c) Mode is the number which appears maximum number of times in our data. So, on seeing the data it is clear that 21 is appearing maximum times i.e. 4. Therefore, mode of data is 21.
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