To determine whether there are "approximately as many boys" between 158 cm and 163 cm as there are between 163 cm and 167 cm, we will count the number of boys whose heights fall into each of these two ranges. Remember that "approximately as many" here is taken to mean exactly equal.
Let's start with the first range of heights between 158 cm and 163 cm. We consider boys to be in this range if their height is greater than or equal to 158 cm but less than 163 cm.
From the given heights, the boys within this range are:
- 158 cm
- 160 cm
- 161 cm
There are a total of 3 boys in the 158 cm to 163 cm range.
Next, let's count the boys whose heights are in the second height range, between 163 cm and 167 cm. Boys are considered to be in this range if their height is greater than or equal to 163 cm but less than 167 cm.
From the given heights, the boys within this range are:
- 164 cm
- 166 cm
There are a total of 2 boys in the 163 cm to 167 cm range.
We compare the counts: there are 3 boys in the first height range and 2 boys in the second height range.
Since 3 is not equal to 2, the statement that there are "approximately as many boys between 158 cm and 163 cm as there are between 163 cm and 167 cm" is false according to the strict mathematical definition provided.
Therefore, the answer is:
False
