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Mathematics

Find the mean of :

(i) 5, 15, 20, 8 and 12.

(ii) 28, 24, 37, 42, 56, 59, 67, 28, 15 and 32.

Statistics

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Answer

(i) 5, 15, 20, 8 and 12.

Mean=Sum of all observationsTotal number of observations=5+15+20+8+125=605=12\text{Mean} = \dfrac{\text{Sum of all observations}}{\text{Total number of observations}}\\[1em] = \dfrac{5 + 15 + 20 + 8 + 12}{5}\\[1em] = \dfrac{60}{5}\\[1em] = 12

Hence, mean = 12.

(ii) 28, 24, 37, 42, 56, 59, 67, 28, 15 and 32.

Mean=Sum of all observationsTotal number of observations=28+24+37+42+56+59+67+28+15+3210=38810=38.8\text{Mean} = \dfrac{\text{Sum of all observations}}{\text{Total number of observations}}\\[1em] = \dfrac{28 + 24 + 37 + 42 + 56 + 59 + 67 + 28 + 15 + 32}{10}\\[1em] = \dfrac{388}{10}\\[1em] = 38.8

Hence, mean = 38.8.

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