Questions: Consider the following frequency table representing the distribution of the cost to a pizza parlor of additional toppings on a pizza (in dollars):
Cost of a Topping (in Dollars) Frequency
0.34-0.42 11
0.43-0.51 12
0.52-0.60 14
0.61-0.69 10
0.70-0.78 10
Step 1 of 2: Determine the midpoint for the fifth class.
Transcript text: Consider the following frequency table representing the distribution of the cost to a pizza parlor of additional toppings on a pizza (in dollars):
\begin{tabular}{cc}
Cost of a Topping (in & \multirow{2}{*}{Frequency} \\
Dollars) & \\
\hline
0.34-0.42 & 11 \\
0.43-0.51 & 12 \\
0.52-0.60 & 14 \\
0.61-0.69 & 10 \\
0.70-0.78 & 10
\end{tabular}
Step 1 of 2: Determine the midpoint for the fifth class.
Solution
Solution Steps
Step 1: Identify the Class Range
The given class range is 0.7-0.78, with a frequency of 10.
Step 2: Calculate the Midpoint
To find the midpoint (M) of a class, we use the formula: \[ M = \frac{L + U}{2} \]
Substituting the lower bound (L) = 0.7 and the upper bound (U) = 0.78, we get:
\[ M = \frac{0.7 + 0.78}{2} = 0.74 \]