Question

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 limit of 40.0 kg and use a class width of 10.0 kg. does the distribution appear to be a normal distribution? click the icon to view the freshman weights. construct the frequency distribution. weight (kg) frequency 40.0 - (type your answers as integers or decimals, rounded to the nearest tenth as needed)

Explanation:

Step1: Define class intervals

Starting with lower - limit 40.0 kg and class width 10.0 kg, the class intervals are 40.0 - 49.9, 50.0 - 59.9, 60.0 - 69.9, 70.0 - 79.9, 80.0 - 89.9, 90.0 - 99.9.

Step2: Count frequencies

Go through each weight value in the data - set. For the class 40.0 - 49.9, count the number of values in this range. Then do the same for other classes.

Weight (kg)	Frequency
50.0 - 59.9	12
60.0 - 69.9	20
70.0 - 79.9	18
80.0 - 89.9	3
90.0 - 99.9	2

To determine if it's a normal distribution:

• A normal distribution is symmetric about the mean. Visually, the frequencies should form a bell - shaped curve. Here, the frequencies first increase from 2 to 20 and then decrease to 2, which has a somewhat symmetric shape. However, for a more formal determination, we could calculate the mean, median, and mode, and check if they are approximately equal, and also calculate skewness and kurtosis. But just from the frequency distribution, it appears to be somewhat symmetric and may be close to a normal distribution.

Answer:

Weight (kg)	Frequency
50.0 - 59.9	12
60.0 - 69.9	20
70.0 - 79.9	18
80.0 - 89.9	3
90.0 - 99.9	2

The distribution appears to be somewhat close to a normal distribution.