Answer :
To determine whether the statement "There are approximately as many boys between 158 and 163 as there are between 163 and 167" is true or false, we need to consider a few key points regarding distributions and statistics.
1. Understanding of Distribution:
- In many real-world scenarios like height, population, or any similar data, distributions are usually not perfectly uniform. In this context, we can assume the distribution might follow a normal or bell-shaped curve (normal distribution), unless more specific data is provided.
2. Possible Scenarios:
- In a normal distribution, data tends to cluster around a central mean value. The spread of data points (boys' heights, in this case) might be different in each segment, especially if one range flanks more closely to the mean height. If the mean height is not located right between these ranges, one segment could contain more boys than the other.
3. Conclusion:
- Without specific data to confirm the exact number of boys within each range, the assumption that both ranges contain an equal number of boys would generally be incorrect in real-world situations. Thus, the statement is considered to be false because there is no evidence or data to support that the two ranges would logically have the same number of boys in a typically non-uniform distribution.
So, based on these considerations, the statement is considered False.
1. Understanding of Distribution:
- In many real-world scenarios like height, population, or any similar data, distributions are usually not perfectly uniform. In this context, we can assume the distribution might follow a normal or bell-shaped curve (normal distribution), unless more specific data is provided.
2. Possible Scenarios:
- In a normal distribution, data tends to cluster around a central mean value. The spread of data points (boys' heights, in this case) might be different in each segment, especially if one range flanks more closely to the mean height. If the mean height is not located right between these ranges, one segment could contain more boys than the other.
3. Conclusion:
- Without specific data to confirm the exact number of boys within each range, the assumption that both ranges contain an equal number of boys would generally be incorrect in real-world situations. Thus, the statement is considered to be false because there is no evidence or data to support that the two ranges would logically have the same number of boys in a typically non-uniform distribution.
So, based on these considerations, the statement is considered False.
