Frequency Distributions and Cumulative Frequency Distributions OBJ: Make frequency distributions and cumulative frequency distributions

P.644 #6 The maximum Fahrenheit temperatures at the municipal airport for each of the 30 days of September were:

Below are different terms associated with frequency distributions: Classes A group of data Frequency # of times a data is used Frequency distribution Table giving frequency of data Cumulative frequency % of total data at upper class limit Cumulative frequency distribution Table giving cumulative % of data Range Highest data – lowest data Lower class limit Lowest value of a class Upper class limit Highest value of a class Class mark Average of lowest & highest values Class width Range / # of classes Always moves up to the next whole #, even if whole # after division is done What is the range for the frequency distribution of the temperatures? 83 – 52 = 31 What is the class width? 31 / 8 = 3 7/8 → 4 What are the lower class limits ? 52, 56, 60, 64, 68, 72, 76, 80 What are the upper class limits? 55, 59, 63, 67, 71, 75, 79, 83 What are the class marks? 53.5, 57.5, 61.5, 65.5,…81.5

Data can also be given in a frequency table. The column labeled “frequency” gives the numbers of data in each class, or group, of temperatures. The column labeled “cumulative frequency,” gives the number of data (from the entire set of temperatures) less than or equal to the largest temperature in each class.

For #6: Construct a frequency table and a cumulative frequency table with 8 classes. ClassCumulative Frequency 30 ClassRelative Frequency 30

For #6: Construct a frequency table and a cumulative frequency table with 8 classes. Class < 52 Cum. Freq 0 0 % < % < % < % < % < % < % < % < % ClassRelative Frequency 52 – – – – – – – –