Question

14 37 40 42 42 68 35 34 22

98 70 50 49 67 45 38 42 55
52 66 61 25 34 60 68 39 54
make a frequency distribution for the data set, including the class limits, frequency and midpoints. (you do NOT have to make a histogram)

Answer 1

The class limits are:

1. 10-20
2. 20-30
3. 30-40
4. 40-50
5. 50-60
6. 60-70
7. 70-80
8. 80-90
9. 90-100

The frequencies are:

1. 1
2. 0
3. 1
4. 2
5. 3
6. 6
7. 6
8. 5
9. 2

The midpoints are:

1. 15
2. 25
3. 35
4. 45
5. 55
6. 65
7. 75
8. 85
9. 95

Step-by-step explanation:

To create a frequency distribution for the given data set, we need to first determine the class limits, frequencies, and midpoints.

To determine the class limits, we divide the data into intervals. Taking a range of 10, we start with the lowest value in the data set (14) and create intervals of 10.

The class limits are:

1. 10-20
2. 20-30
3. 30-40
4. 40-50
5. 50-60
6. 60-70
7. 70-80
8. 80-90
9. 90-100

To determine the frequencies, we count the number of data points that fall within each interval. The frequencies are:

1. 1
2. 0
3. 1
4. 2
5. 3
6. 6
7. 6
8. 5
9. 2

To determine the midpoints, we take the average of the lower and upper class limits. The midpoints are:

1. 15
2. 25
3. 35
4. 45
5. 55
6. 65
7. 75
8. 85
9. 95