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Answer :
The question asks us to determine if there are approximately as many boys with heights between 167 cm and 169 cm as there are with heights between 169 cm and 170 cm.
Here's how we can analyze this step-by-step:
1. List the Heights: First, let's look at the given list of heights: 154, 150, 157, 158, 160, 161, 163, 164, 166, 167, 168, 169, and 170.
2. Count Boys Between 167 cm and 169 cm (inclusive):
- Look for the heights that fall within this range: 167, 168, and 169.
- Count these heights: There are 3 boys within this range.
3. Count Boys Between 169 cm and 170 cm (inclusive):
- Look for the heights that fall within this range: 169 and 170.
- Count these heights: There are 2 boys within this range.
4. Compare the Counts:
- Count of boys between 167 cm and 169 cm is 3.
- Count of boys between 169 cm and 170 cm is 2.
5. Determine if Counts are Approximately Equal:
- The two counts are 3 and 2. These numbers differ by 1.
- In many situations, counts differing by 1 can be considered approximately equal.
Therefore, considering that the counts only differ by one, it is reasonable to say that there are approximately as many boys between 167 cm and 169 cm as there are between 169 cm and 170 cm. The statement is True.
Here's how we can analyze this step-by-step:
1. List the Heights: First, let's look at the given list of heights: 154, 150, 157, 158, 160, 161, 163, 164, 166, 167, 168, 169, and 170.
2. Count Boys Between 167 cm and 169 cm (inclusive):
- Look for the heights that fall within this range: 167, 168, and 169.
- Count these heights: There are 3 boys within this range.
3. Count Boys Between 169 cm and 170 cm (inclusive):
- Look for the heights that fall within this range: 169 and 170.
- Count these heights: There are 2 boys within this range.
4. Compare the Counts:
- Count of boys between 167 cm and 169 cm is 3.
- Count of boys between 169 cm and 170 cm is 2.
5. Determine if Counts are Approximately Equal:
- The two counts are 3 and 2. These numbers differ by 1.
- In many situations, counts differing by 1 can be considered approximately equal.
Therefore, considering that the counts only differ by one, it is reasonable to say that there are approximately as many boys between 167 cm and 169 cm as there are between 169 cm and 170 cm. The statement is True.
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