Question #31036

In a study on survival time for ten patients following a new treatment for AIDS. The time in months were given thus: 24, 12, 8, 20, 3, 18, 24, 25,and 27.Determine the mean for the given data.

a. 20
b. 17.9
c. 24
d. 6.8

Expert's answer

In a study on survival time for ten patients following a new treatment for AIDS. The time in months were given thus: 24, 12, 8, 20, 3, 18, 24, 25, and 27. Determine the mean for the given data. a. 20 b. 17.9 c. 24 d. 6.8

Solution

The time in months was 24 12 8 20 3 18 24 25 27 [Original data set].

The average of the data values in a data set is called mean.


Arithmetic mean=Sum of data valuesNumber of data values.\text{Arithmetic mean} = \frac{\text{Sum of data values}}{\text{Number of data values}}.


The arithmetic mean of the data set is


24+12+8+20+3+18+24+25+27917.9.\frac{24 + 12 + 8 + 20 + 3 + 18 + 24 + 25 + 27}{9} \approx 17.9.


Answer: b. 17.9.

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