Solved: Median When data are summarized in a frequency

Chapter 3, Problem 39

(choose chapter or problem)

Median When data are summarized in a frequency distribution, the median can be foundby first identifying the median class, which is the class that contains the median. We thenassume that the values in that class are evenly distributed and we interpolate. Letting n denotethe sum of all class frequencies, and letting m denote the sum of the class frequencies thatprecede the median class, the median can be estimated as shown here:(lower limit of median class) + (class width) an + 12 b - 1m + 12frequency of median classUse this procedure to find the median of the frequency distribution given in Exercise 29.How does the result compare to the median found from the original list of data, which is 33.0years? Which value of the median is better: the value computed using the frequency table orthe value of 33.0 y