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The ages (in years) of some teachers of a school are given in the box. 26, 32,38, 41,26, 31, 35,33,26,37 Based on this information, answer the following questions.
Q. What is the range of the ages of the teachers?
  • a)
    15 years     
  • b)
    26 years
  • c)
    41 years  
  • d)
    32 years
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The ages (in years) of some teachers of a school are given in the box....
To find the range of the ages of the teachers, we need to:

1. Identify the youngest and oldest teacher:
- Youngest age: 26 years
- Oldest age: 41 years

2. Calculate the range:
- Range = Oldest age - Youngest age
- Range = 41 - 26
- Range = 15 years

Therefore, the range of the ages of the teachers is 15 years.

- Answer: A: 15 years
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Most Upvoted Answer
The ages (in years) of some teachers of a school are given in the box....
Range of Ages of Teachers

The range is a measure of dispersion that calculates the difference between the highest and lowest values in a dataset. In this case, we have the ages of ten teachers:

26, 32, 38, 41, 26, 31, 35, 33, 26, 37

To calculate the range, we need to subtract the lowest value from the highest value:

41 - 26 = 15

Therefore, the range of the ages of the teachers is 15 years.

Explanation:

The range is the difference between the highest and the lowest value of a dataset. In this case, the highest age among the ten teachers is 41 years and the lowest age is 26 years. Therefore, the range is 41 - 26 = 15 years. Option A is the correct answer.

It is important to note that while the range is a simple and useful measure of dispersion, it can be affected by outliers, which are extreme values that are significantly different from the rest of the dataset. In this case, there are three teachers with an age of 26 years, which could be considered outliers. If we remove them from the dataset, the range would be reduced to 41 - 31 = 10 years.
Community Answer
The ages (in years) of some teachers of a school are given in the box....
Range = greatest obs.- smallest obs
so,
G=41 and S=26
range =41-26
=15 years
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The ages (in years) of some teachers of a school are given in the box. 26, 32,38, 41,26, 31, 35,33,26,37 Based on this information, answer the following questions.Q.What is the range of the ages of the teachers?a)15 yearsb)26 yearsc)41 yearsd)32 yearsCorrect answer is option 'A'. Can you explain this answer?
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