A frequency histogram is to be drawn using the information given in the frequency table below:
| Science Score | Frequency |
| :------------ | :-------- |
| 5 | 2 |
| 15 | 5 |
| 25 | 10 |
| 45 | 15 |
| 55 | 8 |
(a) What word(s) will you use to label the horizontal axis?
Answer:
(b) What word(s) will you use to label the vertical axis?
Answer:
(c) What number corresponds to the height of the highest column?
Answer:
(d) What number corresponds to the height of the lowest column?
Answer (1)
The horizontal axis represents the data categories, so it's labeled as 'Science Score'.
The vertical axis represents the frequency of each category, so it's labeled as 'Frequency'.
The highest frequency in the table is 15, corresponding to the highest column.
The lowest frequency in the table is 2, corresponding to the lowest column.
The answers are: (a) Science Score (b) Frequency (c) 15 (d) 2
Explanation
Analyze the problem We are given a frequency table and asked to determine the labels for the horizontal and vertical axes of a frequency histogram, as well as the heights of the highest and lowest columns.
Determine the label for the horizontal axis The horizontal axis of a frequency histogram represents the data categories. In this case, the data categories are the science scores. Therefore, the horizontal axis should be labeled 'Science Score'.
Determine the label for the vertical axis The vertical axis of a frequency histogram represents the frequency of each data category. Therefore, the vertical axis should be labeled 'Frequency'.
Determine the height of the highest column To find the height of the highest column, we need to find the highest frequency in the table. The frequencies are 2, 5, 10, 15, and 8. The highest frequency is 15.
Determine the height of the lowest column To find the height of the lowest column, we need to find the lowest frequency in the table. The frequencies are 2, 5, 10, 15, and 8. The lowest frequency is 2.
State the final answer (a) The horizontal axis will be labeled as Science Score. (b) The vertical axis will be labeled as Frequency. (c) The height of the highest column is 15. (d) The height of the lowest column is 2.
Examples
Frequency histograms are used in many real-life scenarios. For example, a teacher can use a frequency histogram to visualize the distribution of test scores in a class. A business can use a frequency histogram to visualize the distribution of customer ages. A scientist can use a frequency histogram to visualize the distribution of measurements in an experiment. In each case, the frequency histogram provides a visual representation of the data that can be used to identify patterns and trends.
