What does the histogram of homework completion times by 44 students show?
The histogram shows information about the times taken by 44 students to complete their homework. To analyze the histogram, follow these stepwise explanations:
1. Understand the horizontal axis
The horizontal axis of the histogram represents the range of time taken to complete the homework. It is divided into intervals or bins, which are usually of equal width.
2. Interpret the vertical axis
The vertical axis represents the frequency or count of students falling into each time interval. The height of each bar in the histogram corresponds to the number of students in that time interval.
3. Analyze the shape of the histogram
Look for patterns or trends in the distribution of the data. Is it symmetric, skewed to the left or right, or does it have any outliers?
4. Identify the mode
The mode is the time interval with the highest frequency. It represents the most common time taken by the students to complete their homework.
5. Determine the range
The range is the difference between the maximum and minimum values on the horizontal axis. It gives an idea of the spread of the data.
6. Calculate the mean
The mean can be estimated by finding the midpoint of each time interval and multiplying it by the frequency. Add up these products and divide by the total number of students (44 in this case). The mean provides an average time taken.
In summary, the histogram provides a visual representation of the distribution of times taken by the students to complete their homework. By analyzing its shape, mode, range, and mean, we can gain insights into the data.