Question

The data set represents the number of movies that a sample of 20 people watched in a year.
121 148 94 142 170 88 221 106 18 67
149 28 60 101 134 168 92 154 53 66
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 minimum is the smallest number, and the maximum is the largest number in the data. 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 for a data set of this size. Calculate the class width using the formula: $$	ext{Class Width} = \frac{	ext{Maximum} - 	ext{Minimum}}{	ext{Number of Classes}}$$, then round up to a convenient number. Step 3: Create the frequency distribution table by listing the class intervals and counting how many data points fall into each interval. This frequency count will be used to plot the histogram and frequency polygon. Step 4: Draw the frequency histogram by plotting the class intervals on the horizontal axis and the frequencies on the vertical axis. For each class interval, draw a bar whose height corresponds to the frequency of that interval. Ensure the bars are adjacent with no gaps to represent continuous data. Step 5: To draw the frequency polygon on the same axes, first find the midpoints of each class interval using $$	ext{Midpoint} = \frac{	ext{Lower Class Limit} + 	ext{Upper Class Limit}}{2}. $$Then plot points at these midpoints with heights equal to the corresponding frequencies. Connect these points with straight lines. Optionally, add points at the beginning and end with zero frequency to close the polygon.

The data set represents the number of movies that a sample of 20 people watched in a year.
121 148 94 142 170 88 221 106 18 67
149 28 60 101 134 168 92 154 53 66
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 movies that a sample of 20 people watched in a year.121 148 94 142 170 88 221 106 18 67149 28 60 101 134 168 92 154 53 66b. 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 movies that a sample of 20 people watched in a year.
121 148 94 142 170 88 221 106 18 67
149 28 60 101 134 168 92 154 53 66
b. Display the data using a frequency histogram and a frequency polygon on the same axes.