Question 84

The table below shows the temperatures in degrees Fahrenheit in a city over one week. If m represents the median temperature, f represents the temperature that occurs most often, and a represents the average (arithmetic mean) of the seven temperatures, which of
the following is the correct order of m, f, and a?

Q84

Solution

When arranged in ascending order, we get the noontime temperatures as:

66, 69, 70, 75, 77, 78 and 78.

m= 75.

f= 78 (occurs twice)

a= $$\ \frac{\ \left(66+69+70+75+77+78+78\right)}{7}=\ \ \frac{\ 513}{7}=73.29$$

So, a<m<f. -Option B


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