Question

The data set represents the number of minutes a sample of 27 people exercise each week.
108 139 120 123 120 132 123 131 131
157 150 124 111 101 135 119 116 117
127 128 139 119 118 114 127 142 130
b. Display the data using a frequency histogram and a frequency polygon on the same axes.

Accepted Answer

Step 1: Organize the data by determining the range. Find the minimum and maximum values in the data set to understand the spread. The range is calculated as $$	ext{Range} = 	ext{Maximum value} - 	ext{Minimum value}. $$Step 2: Decide on the number of class intervals (bins) for the histogram. A common rule of thumb is to use between 5 and 10 bins depending on the data size. Calculate the class width using $$	ext{Class width} = \frac{	ext{Range}}{	ext{Number of classes}}$$, then round up to a convenient number. Step 3: Create the frequency distribution table by grouping the data into the class intervals determined in Step 2. Count how many data points fall into each class interval to get the frequency for each bin. Step 4: Draw the frequency histogram by plotting the class intervals on the horizontal axis and the corresponding frequencies on the vertical axis. Each bar's height represents the frequency of that class interval, and bars should be adjacent without gaps. Step 5: To add the frequency polygon, plot points at the midpoint of each class interval on the horizontal axis and the frequency on the vertical axis. Connect these points with straight lines. Make sure both the histogram and frequency polygon share the same axes for comparison.

The data set represents the number of minutes a sample of 27 people exercise each week.
108 139 120 123 120 132 123 131 131
157 150 124 111 101 135 119 116 117
127 128 139 119 118 114 127 142 130
b. Display the data using a frequency histogram and a frequency polygon on the same axes.

비슷한 문제에 대한 검증된 영상 답변:

주요 개념

Frequency Histogram

Frequency Polygon

Data Grouping and Class Intervals

The data set represents the number of minutes a sample of 27 people exercise each week.108 139 120 123 120 132 123 131 131157 150 124 111 101 135 119 116 117127 128 139 119 118 114 127 142 130b. Display the data using a frequency histogram and a frequency polygon on the same axes.

비슷한 문제에 대한 검증된 영상 답변:

주요 개념

Frequency Histogram

Frequency Polygon

Data Grouping and Class Intervals

The data set represents the number of minutes a sample of 27 people exercise each week.
108 139 120 123 120 132 123 131 131
157 150 124 111 101 135 119 116 117
127 128 139 119 118 114 127 142 130
b. Display the data using a frequency histogram and a frequency polygon on the same axes.