The first class in a relative frequency table is 50–59 and the corresponding relative frequency is 0.2. What does the 0.2 value indicate?

The value of 0.2 in this relative frequency table indicates the proportion or percentage of the total data set that falls within the range of 50-59.

To understand how this value is obtained, we need to know how relative frequencies are calculated. Relative frequency is determined by dividing the frequency of a specific class (the number of times a data point falls within that class) by the total number of data points or observations in the entire data set.

In this case, the relative frequency of the class 50-59 is given as 0.2. This means that 20% of the total data set falls within the range of 50-59.

To calculate the relative frequency:

1. Determine the frequency: Count the number of times the data falls within the class 50-59.
2. Determine the total number of data points: Sum up the frequencies of all classes in the table.
3. Divide the frequency of the specific class by the total number of data points to obtain the relative frequency. For example, if the frequency of the class 50-59 is 50 and the total number of data points is 250, then the relative frequency would be 50/250 = 0.2 or 20%.

So, the value of 0.2 indicates that 20% of the total data set falls within the class range of 50-59.