Philip was tracking the temperatures in Tampa, Florida at noon during the month of January.
The temperatures for the first week were as follows: 80, 71, 52, 58, 67, 71, 77
Find the mean, median, mode and range for this set of data.
Select the correct response:
Mean = 65, Median = 70, Mode = 71, Range = 25
Mean = 68, Median = 71, Mode = 71, Range = 28
Mean = 70, Median = 68, Mode = 70, Range = 30
Mean = 72, Median = 72, Mode = 69, Range = 19

Question

28-05-2024
Mathematics

Answered

Philip was tracking the temperatures in Tampa, Florida at noon during the month of January.
The temperatures for the first week were as follows: 80, 71, 52, 58, 67, 71, 77
Find the mean, median, mode and range for this set of data.
Select the correct response:
Mean = 65, Median = 70, Mode = 71, Range = 25
Mean = 68, Median = 71, Mode = 71, Range = 28
Mean = 70, Median = 68, Mode = 70, Range = 30
Mean = 72, Median = 72, Mode = 69, Range = 19

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-05-28T14:11:25-04:00

To solve this problem, we'll analyze the given temperatures: 80, 71, 52, 58, 67, 71, 77. We need to calculate the mean, median, mode, and range. Let's go through each step-by-step:

1. Mean (Average) Calculation:
- The mean is calculated by adding all the temperatures together and dividing by the number of temperatures.
- Sum of temperatures = 80 + 71 + 52 + 58 + 67 + 71 + 77 = 476
- Number of temperatures = 7
- Mean = Sum of temperatures / Number of temperatures = 476 / 7 = 68

2. Median Calculation:
- The median is the middle number in a sorted list of numbers.
- First, sort the temperatures: [52, 58, 67, 71, 71, 77, 80]
- Since there are 7 numbers, the median is the 4th number in the sorted list.
- Median = 71

3. Mode Calculation:
- The mode is the number that appears most frequently in the list.
- In the sorted list [52, 58, 67, 71, 71, 77, 80], the number 71 appears most frequently.
- Mode = 71

4. Range Calculation:
- The range is the difference between the highest and lowest numbers in the list.
- Highest number = 80
- Lowest number = 52
- Range = Highest number - Lowest number = 80 - 52 = 28

Based on the calculations:
- Mean = 68
- Median = 71
- Mode = 71
- Range = 28

Therefore, the correct response is:
Mean = 68, Median = 71, Mode = 71, Range = 28