Answer: To construct a histogram for the given English quiz scores, you can follow these steps:
1. Determine the range of the scores.
2. Create bins (intervals) for the histogram.
3. Count the frequency of scores falling within each bin.
4. Draw the histogram with bins and their respective frequencies.
Given data: 18, 45, 20, 32, 9, 35, 49, 28, 25, 19, 5, 30, 22, 24, and 14.
Let’s organize the data and construct the histogram:
Scores: 5, 9, 14, 18, 19, 20, 22, 24, 25, 28, 30, 32, 35, 45, 49
Now, determine the range of scores: Range = Maximum score - Minimum score
Range = 49 - 5 = 44
Next, choose the number of bins for the histogram. For simplicity, let’s choose 5 bins.
Bin width = Range / Number of bins = 44 / 5 = 8.8 (round it to 9 for simplicity)
Create the bins:
• Bin 1: 5 - 13
• Bin 2: 14 - 22
• Bin 3: 23 - 31
• Bin 4: 32 - 40
• Bin 5: 41 - 49
Count the frequencies within each bin:
• Bin 1 (5-13): 3 scores
• Bin 2 (14-22): 4 scores
• Bin 3 (23-31): 4 scores
• Bin 4 (32-40): 3 scores
• Bin 5 (41-49): 1 score
Now, draw the histogram with the bins and frequencies: Frequency
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Bin 1 Bin 2 Bin 3 Bin 4 Bin 5
5-13 14-22 23-31 32-40 41-49 This histogram visually represents the frequency distribution of the English quiz scores across the specified bins.