Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?
Weight (g)-----------Frequency
5.5000-5.5499-----1
5.5500-5.5999-----4
5.6000-5.6499-----7
5.6500-5.6999-----13
5.7000-5.7499-----16
5.7500-5.7999-----9
a. No, the frequencies do not increase from the low frequency to a maximum frequency.
b. Yes, all the requirements are met.
c. No, the distribution is not symmetric.
To determine if the frequency distribution appears to have a normal distribution using a strict interpretation of the relevant criteria, we need to consider the characteristics of a normal distribution.
Here are the relevant criteria for a normal distribution:
1. The frequencies must increase from the low frequency to a maximum frequency and then decrease.
2. The distribution must be symmetric, meaning the shape of the distribution is the same on both sides of the mean.
Looking at the frequency distribution table provided:
Weight (g)-----------Frequency
5.5000-5.5499-----1
5.5500-5.5999-----4
5.6000-5.6499-----7
5.6500-5.6999-----13
5.7000-5.7499-----16
5.7500-5.7999-----9
We can see that the frequencies do increase from the low frequency (1) to a maximum frequency (16), and then decrease. So, the first criteria is met.
However, based on the given frequency distribution, we cannot determine if the distribution is symmetric or not. We do not have information about the shape of the distribution.
Therefore, given the information provided, the answer is:
c. No, the distribution is not symmetric.
Please note that without additional information, it is not possible to determine if the distribution truly follows a normal distribution.