Math Problem Statement

Find minimum and maximum value based on the cumulative frequency graph of plant heights.

Solution

To find the minimum and maximum values of the heights of plants based on this cumulative frequency graph:

  1. Minimum Value: The cumulative frequency graph starts at a height of approximately 10 cm. This is the minimum height observed in the data set, as the cumulative frequency begins to increase from this point.

  2. Maximum Value: The cumulative frequency reaches a total of around 80 at a height of approximately 55 cm. This is the maximum height because the cumulative frequency plateaus around this value, indicating no further data beyond this height.

So, the minimum height is 10 cm and the maximum height is approximately 55 cm.

Would you like further details on interpreting cumulative frequency graphs or need additional help with this question?

Here are some related questions for practice:

  1. How do you calculate the median from a cumulative frequency graph?
  2. What is the interquartile range (IQR) and how can it be found using this graph?
  3. How can cumulative frequency be used to estimate percentiles?
  4. How would you find the mode of a dataset if only the cumulative frequency graph is given?
  5. Why is the cumulative frequency graph typically an increasing curve?

Tip: The cumulative frequency graph helps identify the distribution of values by showing how frequencies accumulate across the range of data, making it easier to locate medians, quartiles, and maximum values.