Let's evaluate each comparison one by one based on the variances provided in the table.
1. June [tex]${data-answer}lt;$[/tex] August
- June's variance is 3.1.
- August's variance is [tex]$2 \frac{2}{3}$[/tex] or 2.67 (since [tex]$\frac{2}{3} \approx 0.67$[/tex]).
We need to check if 3.1 is less than 2.67. By comparing the numbers, we can conclude that 3.1 is actually greater than 2.67.
Therefore, this comparison is False.
2. April [tex]$=$[/tex] May
- April's variance is -2.5.
- May's variance is [tex]$-2 \frac{1}{2}$[/tex] or -2.5 (since [tex]$\frac{1}{2} = 0.5$[/tex]).
We need to check if -2.5 is equal to -2.5. These values are indeed equal.
Therefore, this comparison is True.
3. May > July
- May's variance is -2.5.
- July's variance is -1.6.
We need to check if -2.5 is greater than -1.6. By comparing the values on a number line, -2.5 is less than -1.6.
Therefore, this comparison is False.
4. May [tex]$=$[/tex] August
- May's variance is -2.5.
- August's variance is 2.67.
We need to check if -2.5 is equal to 2.67. These values are not equal.
Therefore, this comparison is False.
Hence, the detailed evaluation of the given comparisons shows that the true comparison is:
- April [tex]$=$[/tex] May
