Answer: Therefore, Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Two class midpoints are 62.5 and 65.5
So, the class interval would be
[tex]65.5-62.5=3[/tex]
So, the limits of lower class are [tex]x_1\ and\ x_2[/tex]
The limits of upper class are [tex]x_2\ and\ x_3[/tex]
So, it becomes,
[tex]\dfrac{x_1+x_2}{2}=62.5\\\\x_1+x_2=62.5\times 2=125[/tex]
and
[tex]\dfrac{x_2+x_3}{2}=65.5\\\\x_2+x_3=65.5\times 2=131[/tex]
Since we have given that interval is 3.
So, [tex]x_2-x_1=3\ and\ x_3-x_2=3[/tex]
So, by solving all the questions, we get that
[tex]x_2+x_1=125\\\\x_2-x_1=3\\\\-------------------------\\\\2x_2=128\\\\x_2=64\\\\x_2-x_1=3\\\\64-x_1=3\\\\x_1=61\\\\and\\\\x_3-x_2=3\\\\x_3-64=3\\\\x_3=67[/tex]
Hence, the class limits would be
(61,64) and (64,67).
And the class limits of lowest class are 61 and 64.
Therefore, Option 'A' is correct.
