https://file.aiquickdraw.com/mathbot/file/1730258272412rotbcqgb.jpg

https://file.aiquickdraw.com/mathbot/file/17302582724138jk4b7ed.jpg

Let's start by creating the frequency distribution for the weights given in the second image, using the intervals specified in the first image. I'll count how many weights fall into each of these intervals and then help you assess whether the distribution appears normal.

### Frequency Distribution Intervals:
1. **40 - 49.9 kg**
2. **50 - 59.9 kg**
3. **60 - 69.9 kg**
4. **70 - 79.9 kg**
5. **80 - 89.9 kg**
6. **90 - 99.9 kg**

I’ll go through the weight data and tally up the frequencies for each interval. One moment while I complete this.The frequency distribution based on the weight intervals is as follows:

1. **40 - 49.9 kg**: 2
2. **50 - 59.9 kg**: 24
3. **60 - 69.9 kg**: 21
4. **70 - 79.9 kg**: 14
5. **80 - 89.9 kg**: 2
6. **90 - 99.9 kg**: 4

### Assessing Normality
The frequencies are highest in the middle intervals (50-59.9 kg and 60-69.9 kg) and taper off towards the ends, suggesting a roughly normal distribution. However, there are small counts in the extreme intervals, so it’s not a perfectly symmetrical normal distribution but does approximate a bell-shaped curve.

Would you like a more detailed explanation on interpreting the normality of this data?

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#### Related Questions
1. How do you calculate the mean weight from this frequency distribution?
2. What is a normal distribution, and how can we formally test if data is normally distributed?
3. How do class intervals and widths affect the appearance of a distribution?
4. Can we estimate the standard deviation from this distribution?
5. What is the skewness of this distribution?

#### Tip:
When constructing a frequency distribution, choosing equal class widths helps in visualizing trends and potential symmetry in the data, aiding in identifying normality.

Weights of 67 college students in kilograms in September of freshman year are provided in the accompanying data set. Construct a frequency distribution. Begin with a lower class limit of 40 kg and use a class width of 10 kg. Does the distribution appear to be a normal distribution?

Construct a frequency distribution for the weights of 67 college students using a 10 kg class width starting at 40 kg. Evaluate whether this distribution appears to follow a normal distribution based on the frequency data.

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