Math

QuestionIs the frequency distribution normal based on the criteria? Choose A, B, or C based on the given temperature ranges and frequencies.

Studdy Solution

STEP 1

Assumptions1. The data is given in a frequency distribution table. . The data is divided into temperature ranges and their corresponding frequencies.
3. The temperature ranges are in Fahrenheit.
4. The frequency represents the number of occurrences of each temperature range.
5. A normal distribution is a bell-shaped curve, symmetric about the mean, with frequencies decreasing from the maximum frequency to a low frequency on both sides of the maximum.

STEP 2

First, we need to observe the given frequency distribution. The frequencies should increase to a maximum and then decrease symmetrically.

STEP 3

The given frequency distribution is as follows\begin{tabular}{c|c}Temperature ()\left({ }^{\circ} \mathrm{}\right) & Frequency \\ \hline 353935-39 &2 \\ 404440-44 &0 \\ 454945-49 & \\ 505450-54 &12 \\ 555955-59 &6 \\ 606460-64 &5 \\ 656965-69 &1\end{tabular}

STEP 4

From the table, we can see that the frequencies do not increase to a maximum and then decrease symmetrically. The frequencies increase from2 to12, then decrease to1, but there is a sudden drop to0 between the first and second temperature ranges.

STEP 5

Based on the above observation, the frequency distribution does not follow a normal distribution. A normal distribution would have a symmetrical pattern with frequencies increasing to a maximum and then decreasing symmetrically.
The answer isA. No, the frequencies do not decrease from the maximum frequency to a low frequency.

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