College

Imagine that you created a histogram to represent final grades in your statistics class based on this grouped frequency table:

\[
\begin{tabular}{|l|l|}
\hline
Grade & Frequency \\
\hline
[tex]$90-99.99$[/tex] & 5 \\
\hline
[tex]$80-89.99$[/tex] & 10 \\
\hline
[tex]$70-79.99$[/tex] & 8 \\
\hline
[tex]$60-69.99$[/tex] & 4 \\
\hline
[tex]$50-59.99$[/tex] & 2 \\
\hline
\end{tabular}
\]

What would be the midpoint for the first interval?

A. 90
B. 99.9
C. 95
D. 93.5

Answer :

Sure, let's break it down step by step.

We need to find the midpoint for the first interval of grades, which is from 90 to 99.99.

1. Identify the interval limits:
- The lower limit of the first interval is 90.
- The upper limit of the first interval is 99.99.

2. Add the lower limit and the upper limit:
[tex]\[
90 + 99.99 = 189.99
\][/tex]

3. Divide the sum by 2 to find the midpoint:
[tex]\[
\frac{189.99}{2} = 94.995
\][/tex]

Therefore, the midpoint for the first interval (90-99.99) is 94.995.

Other Questions