Histogram, with data hours of sleep per night at 5 to 11 hours and scores from a quiz starting at 38 points to 92 points, how would that look?
I'm assuming your teacher means a bar chart. For examples of histograms, google, 'google images histograms' and you will find many types of histograms. Choose one that looks like the ones you have been doing in class.
To create a histogram with the given data of hours of sleep per night and quiz scores, follow these steps:
1. Determine the number of intervals or bins you want to use for each variable. For hours of sleep per night, we have data ranging from 5 to 11 hours. You could use 1 hour intervals or any other interval size that is appropriate for your data. For quiz scores, we have data ranging from 38 to 92 points. You could use 5-point intervals or any other interval size that suits your data.
2. Calculate the range for each variable. For hours of sleep per night, the range is (11 - 5) = 6 hours. For quiz scores, the range is (92 - 38) = 54 points.
3. Divide the total range by the number of intervals to determine the width of each interval. For example, if you decide to use 1-hour intervals for sleep hours, divide the range of 6 hours by the number of intervals (6/1) = 6. This means each interval will represent 1 hour of sleep. Similarly, if you choose 5-point intervals for quiz scores, divide the range of 54 points by the number of intervals (54/5) = 10.8. Round the result to the nearest whole number, so each interval will represent 11 points.
4. Create intervals for each variable based on the determined width. For hours of sleep, starting from the minimum value (5 hours), you can create intervals like [5-6), [6-7), [7-8), [8-9), [9-10), [10-11), where the square bracket indicates a closed interval (including the lower bound) and the rounded parenthesis indicates an open interval (excluding the upper bound). For quiz scores, you can create intervals like [38-49), [49-60), [60-71), [71-82), [82-93), where again, the square bracket represents a closed interval and the rounded parenthesis represents an open interval.
5. Count the number of observations falling within each interval for each variable. For example, if you have a dataset with 100 samples, you need to count how many observations fall within each interval.
6. Create a horizontal or vertical bar chart where the x-axis (horizontal) or y-axis (vertical) represents the intervals, and the y-axis (horizontal) or x-axis (vertical) represents the frequency (count) of observations within each interval. The bars should represent the respective frequencies.
7. Label the axes appropriately, including titles and units of measurement.
This way, you will have a histogram that visually represents the distribution of data for both hours of sleep per night and quiz scores, highlighting the frequency of observations within each interval.