Question

question 4
what is the lower class limit in the class 6-10 ?
○ a. 6.5
○ b. 5.5
○ c. 8
○ d. 6

Explanation:

Step1: Recall lower class limit

The lower class limit of a class interval (like \(6 - 10\)) is the smallest value that can belong to that class. In the interval \(6-10\), the lower bound (lower class limit) is the left - most value of the interval.

Step2: Identify the lower class limit

For the class \(6 - 10\), the lower class limit is \(6\). The option \(a\) (\(6.5\)) is the class mid - point (\(\frac{6 + 10}{2}=\frac{16}{2}=8\)? Wait, no, \(\frac{6+10}{2}=8\)? Wait, no, \(\frac{6 + 10}{2}=8\) is wrong, \(\frac{6+10}{2}=8\)? Wait, \(6+10 = 16\), \(16\div2 = 8\)? No, wait, the mid - point formula is \(\frac{\text{lower limit}+\text{upper limit}}{2}\), so \(\frac{6 + 10}{2}=8\). But the lower class limit is the starting value of the class. The option \(b\) (\(5.5\)) would be the lower class boundary (if we consider continuous data, but the question is about class limit, not boundary). The option \(c\) (\(8\)) is the mid - point. The option \(d\) (\(6\)) is the lower class limit as it is the smallest value in the class \(6-10\).

Answer:

d. 6