How To Estimate Percentiles And Individual Values Using Cumulative Relative Frequency Graphs

Estimate percentiles and individual values using a cumulative relative frequency graph.

.25 is Q1, .5 is Median, .75 is Q3. Read the x and y axis to find the corresponding information.

A cumulative relative frequency graph is a graphical representation of a cumulative frequency distribution. It can be used to estimate percentiles and individual values.

To estimate percentiles from a cumulative relative frequency graph, follow these steps:

1. Read the cumulative frequency value at the bottom of the graph corresponding to the percentile you want to estimate.
2. Follow the line up to the curve and then to the y-axis to obtain the corresponding value.

For example, if you want to estimate the 75th percentile from a cumulative relative frequency graph, you would read the cumulative frequency value at the bottom of the graph as 0.75. Follow the line up to the curve and then to the y-axis to obtain the corresponding value.

To estimate individual values, follow these steps:

1. Locate the individual value on the x-axis.
2. Follow the line up to the curve and then to the y-axis to obtain the corresponding cumulative frequency value.
3. If necessary, subtract the cumulative frequency value of the previous individual value from the cumulative frequency value of the desired individual value to obtain the number of values in between.

For example, if you want to estimate the value corresponding to a cumulative frequency of 30 from a cumulative relative frequency graph, you would locate the value 30 on the y-axis and follow the line down to the curve. Then, follow the line left to the x-axis to obtain the corresponding individual value. If necessary, subtract the cumulative frequency value of the previous individual value from 30 to obtain the number of values in between.

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