Final answer:
To answer the student's question, you need to create a histogram with five to six intervals showing the distribution of onion sizes based on the given data. This histogram will depict the frequency of each size range and can be used to understand the shape, center, and spread of the data.
Step-by-step explanation:
The question is asking us to construct a histogram based on a given set of data to visualize the distribution of values, such as the sizes of onions. A histogram is a type of graph that is used in statistics to represent the frequency distribution of quantitative data. In this case, you would be creating bars that represent the frequency of onion sizes within specified intervals.
To construct the histogram, follow these steps:
- Determine the number of intervals (or bins), which can be between five to six based on the instruction.
- Calculate the range of the data and divide it by the number of intervals to find the interval width.
- Draw the horizontal axis (x-axis) to represent the size of onions and the vertical axis (y-axis) to represent the frequency.
- Plot a bar for each interval with the height corresponding to the frequency of onion sizes within that interval.
When interpreting a histogram, one can observe the shape (normal, skewed), center (middle value), and spread (the variability). For instance, a right-skewed histogram, like the provided data set, suggests a greater number of smaller values and that the mean is pulled towards the tail. Understanding the center and spread is essential for summarizing data effectively.
Additionally, histograms are useful when compared to other types of charts like the box plot or when using frequency polygons to overlay multiple distributions for comparison purposes.