To construct the frequency distribution for the given weights, let’s follow these steps:

1. Determine Class Intervals:

   • Start with a lower limit of $40 \, \text{kg}$.
   • Use a class width of $10 \, \text{kg}$, so intervals will be: $40-49.9$, $50-59.9$, $60-69.9$, etc.

2. Count Frequencies for each class by categorizing each data point in the provided list.

3. Analyze Normality: After constructing the frequency table, we can look at the distribution shape to assess if it resembles a normal distribution.

Let’s proceed by categorizing the weights.

Frequency Distribution Table

Here's how the frequencies should be grouped based on the intervals and weights:

I'll fill in the frequencies based on the weights.### Completed Frequency Distribution Table

Analysis of Distribution Shape

The frequencies are highest in the middle intervals (50-59.9 and 60-69.9), with lower frequencies at the tails, resembling a bell-shaped distribution. Thus, this data may approximate a normal distribution, although further statistical tests (such as the Shapiro-Wilk test) would confirm this.

Would you like further details on the analysis or an explanation of normal distribution properties?

Related Questions

1. How do you determine if a distribution is normal from a histogram?
2. What are the key properties of a normal distribution?
3. How would you calculate the mean and standard deviation for these weights?
4. What is the importance of class intervals in frequency distribution?
5. How can we visually assess normality using a frequency polygon?

Tip

When constructing frequency distributions, always ensure non-overlapping intervals for accurate data representation.