Statistics
Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?
IQ Score------Frequency
50-69----------24
79-89----------228
90-109--------490
110-129--------232
130-149-------26
a. Yes, all the requirements are met.
b. No, the frequencies do not decrease from the maximum frequency to a low frequency.
c. No, the distribution does not appear to be normal.
https://www.google.com/search?client=safari&rls=en&q=normal+distribution&ie=UTF-8&oe=UTF-8
C=8
To determine whether the frequency distribution appears to have a normal distribution using a strict interpretation of the relevant criteria, we need to consider a few factors.
One important criterion is that the frequencies should decrease from the maximum frequency to a low frequency, indicating a symmetric shape. In this case, we can observe that the frequencies start with 24 and gradually increase to 228, then decrease to 232 before dropping to 26. Thus, the frequencies do not strictly follow a decreasing pattern, which suggests that the distribution may not be normal.
Therefore, the correct answer is option c. No, the distribution does not appear to be normal.
To determine if the frequency distribution appears to have a normal distribution using a strict interpretation of the relevant criteria, we need to consider a few factors.
1. First, check if the distribution is symmetric. In a normal distribution, the data should be evenly distributed on both sides of the mean. In the given frequency distribution, we can see that the frequencies increase from 50-69 to 90-109, peak at 90-109, and then decrease from 110-129 to 130-149. This suggests that the data may not be symmetric.
2. Next, consider the shape of the distribution. A normal distribution typically exhibits a bell-shaped curve, where the frequencies gradually increase, peak at the mean, and then gradually decrease. In the given data, the frequencies do not follow this pattern. There is a relatively high frequency in the 79-89 range, and the frequencies decrease in both directions from that point. Therefore, the data does not seem to exhibit a bell-shaped curve.
Based on these observations, we can conclude that the frequency distribution does not appear to have a normal distribution using a strict interpretation of the relevant criteria. Therefore, the correct answer is option c: No, the distribution does not appear to be normal.