Question

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?

Noontime Temperature
Mon	Tue	Wed	Thu	Fri	Sat	Sun
66	78	75	69	78	77	70

• A. a<m>f
• B. a<m<f
• C. m<a<f
• D. m<f<a

Answer 1

The Correct Option is B

Given the temperatures for the week: 66, 78, 75, 69, 78, 77, 70.

Let's find m (median), f (mode), and a (average) to determine their correct order.

Step 1: Calculate the Median (m)

Reorder temperatures: 66, 69, 70, 75, 77, 78, 78.

As there are 7 numbers, the median is the 4th number: m = 75

Step 2: Calculate the Mode (f)

Mode is the number that appears most frequently: 78 appears twice.

f = 78

Step 3: Calculate the Average (a)

Add the temperatures: 66 + 78 + 75 + 69 + 78 + 77 + 70 = 513.

Average = Sum / Number of observations = 513 / 7 = a ≈ 73.29

Conclusion

We have a ≈ 73.29, m = 75, f = 78.

The order is a < m < f.