Answer :
To solve this question, we need to determine whether the number of boys with heights between 158 cm and 163 cm is approximately the same as the number of boys with heights between 163 cm and 167 cm.
Here's a step-by-step process:
1. List the Boys' Heights: Consider the list of boys' heights: 157, 158, 160, 161, 163, 164, 166, 167, 168, 169.
2. Count Boys Between 158 and 163 cm:
- We include boys with heights starting from 158 cm up to, but not including, 163 cm.
- Heights in this range are: 158, 160, 161.
- Count: 3 boys.
3. Count Boys Between 163 and 167 cm:
- We include boys with heights starting from 163 cm up to, but not including, 167 cm.
- Heights in this range are: 163, 164, 166.
- Count: 3 boys.
4. Compare the Counts:
- The number of boys between 158 and 163 cm is 3.
- The number of boys between 163 and 167 cm is also 3.
Since there are an equal number of boys in both height ranges, the statement "There are approximately as many boys between 158 and 163 as there are between 163 and 167" is True.
Here's a step-by-step process:
1. List the Boys' Heights: Consider the list of boys' heights: 157, 158, 160, 161, 163, 164, 166, 167, 168, 169.
2. Count Boys Between 158 and 163 cm:
- We include boys with heights starting from 158 cm up to, but not including, 163 cm.
- Heights in this range are: 158, 160, 161.
- Count: 3 boys.
3. Count Boys Between 163 and 167 cm:
- We include boys with heights starting from 163 cm up to, but not including, 167 cm.
- Heights in this range are: 163, 164, 166.
- Count: 3 boys.
4. Compare the Counts:
- The number of boys between 158 and 163 cm is 3.
- The number of boys between 163 and 167 cm is also 3.
Since there are an equal number of boys in both height ranges, the statement "There are approximately as many boys between 158 and 163 as there are between 163 and 167" is True.
