Using the given frequency distribution table for the 2-hour intervals of the temperatures for June 24, determine the average temperature which occurred during the 24-hour period. $$\begin{array}{l}
\text { Frequency Distribution of June } 24 \text { Temperatures }\
\begin{array} { c | c | c | c | }
\hline \begin{array} { c }
\text { Temperature } \
\text { Interval }
\end{array} & \text { Midpoint } & \text { Tally } & \text { Frequency } \
\hline 70 - 74 ^ { \circ } & 72 ^ { \circ } & / / I & 3 \
75 - 79 ^ { \circ } & 77 ^ { \circ } & \text { Htt } & 5 \
80 - 84 ^ { \circ } & 82 ^ { \circ } & / / I & 3 \
85 - 89 ^ { \circ } & 87 ^ { \circ } & & 0 \
90 - 94 ^ { \circ } & 92 ^ { \circ } & / / & 2 \
\hline
\end{array}
\end{array}$$
A)77o
B)82o
C)79.3o
D)92o

Question

Using the given frequency distribution table for the 2-hour intervals of the temperatures for June 24, determine the average temperature which occurred during the 24-hour period. $$\begin{array}{l}
\text { Frequency Distribution of June } 24 \text { Temperatures }\
\begin{array} { c | c | c | c | } 
\hline \begin{array} { c } 
\text { Temperature } \
\text { Interval }
\end{array} & \text { Midpoint } & \text { Tally } & \text { Frequency } \
\hline 70 - 74 ^ { \circ } & 72 ^ { \circ } & / / I & 3 \
75 - 79 ^ { \circ } & 77 ^ { \circ } & \text { Htt } & 5 \
80 - 84 ^ { \circ } & 82 ^ { \circ } & / / I & 3 \
85 - 89 ^ { \circ } & 87 ^ { \circ } & & 0 \
90 - 94 ^ { \circ } & 92 ^ { \circ } & / / & 2 \
\hline
\end{array}
\end{array}$$
A)77o
B)82o
C)79.3o
D)92o

Quizplus · Accepted Answer

To find the average temperature, we need to find the midpoint of each interval, multiply it by its frequency, add all the products and divide by the total frequency.

Midpoint × Frequency
70 - 74: 72 × 3 = 216
75 - 79: 77 × 5 = 385
80 - 84: 82 × 3 = 246
85 - 89: 87 × 0 = 0
90 - 94: 92 × 2 = 184

Total frequency = 13

Sum of products = 216 + 385 + 246 + 0 + 184 = 1031

Average temperature = Sum of products/Total frequency = 1031/13 = 79.3

Therefore, the average temperature which occurred during the 24-hour period is 79.3 degrees. The answer is C.

Using the Given Frequency Distribution Table for the 2-Hour Intervals