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The data below show the number of question a student solve each day in the past four day 18 16 18 what is the fuse number of question the student should solve on the 5th day so that that the mean number of question solve each day is at least 14?
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The data below show the number of question a student solve each day in...
To determine how many questions the student should solve on the 5th day to achieve a mean of at least 14 questions per day, follow these steps:
Understanding the Problem
- The student solved questions over the past four days: 18, 16, 18.
- We need to find the number of questions (let's call it X) that should be solved on the 5th day.
Calculating Total Questions
- First, calculate the total number of questions solved in the first four days:
- Total = 18 + 16 + 18 = 52 questions.
Setting Up the Mean Equation
- To find the mean number of questions solved over 5 days, we use the formula:
- Mean = Total Questions / Number of Days
- We want the mean to be at least 14:
- (Total + X) / 5 ≥ 14.
Simplifying the Equation
- Multiply both sides by 5 to eliminate the fraction:
- Total + X ≥ 70.
- Substitute the total from above:
- 52 + X ≥ 70.
Finding the Value of X
- Now, solve for X:
- X ≥ 70 - 52.
- X ≥ 18.
Conclusion
- Therefore, the student should solve at least 18 questions on the 5th day to ensure that the mean number of questions solved each day is at least 14.
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The data below show the number of question a student solve each day in the past four day 18 16 18 what is the fuse number of question the student should solve on the 5th day so that that the mean number of question solve each day is at least 14?
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