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 class limit of 40.0 kg and use a class width of 10.0 kg. does the distribution appear to be a normal distribution? (type your answers as integers or decimals, rounded to the nearest tenth as needed.)

Explanation:

Step1: Determine class intervals

Starting with lower - class limit of 40.0 kg and class width of 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 for each class

For the class 40.0 - 49.9:
We go through the data set and count the number of values in this range. There are 2 values (41.9, 48.9).
For the class 50.0 - 59.9:
Counting the values in this range, we find 15 values (50.1, 53.1, 56.1, 57.1, 54.0, 59.2, 53.2, 55.3, 56.2, 57.2, 58.2, 59.8, 54.1, 58.2, 51.2).
For the class 60.0 - 69.9:
There are 18 values (61.0, 64.0, 66.9, 67.1, 68.2, 69.3, 67.7, 68.0, 64.3, 63.1, 63.0, 62.3, 63.8, 63.8, 64.1, 63.8, 66.3, 65.2).
For the class 70.0 - 79.9:
There are 16 values (72.1, 74.2, 70.1, 71.0, 72.1, 73.1, 77.3, 73.8, 73.7, 74.3, 71.1, 75.1, 74.2, 73.7, 73.8, 74.3).
For the class 80.0 - 89.9:
There are 4 values (81.0, 87.0, 80.1, 83.1).
For the class 90.0 - 99.9:
There are 2 values (96.8, 94.2).

Answer:

Weight (kg)	Frequency
50.0 - 59.9	15
60.0 - 69.9	18
70.0 - 79.9	16
80.0 - 89.9	4
90.0 - 99.9	2