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
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 |
Updated On: Dec 1, 2025
- a<m>f
- a<m<f
- m<a<f
- m<f<a
Show Solution
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The Correct Option is B
Solution and Explanation
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.
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