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CHAPTER 7

STATISTICSGrouped Data, Upper Boundary, Lower Boundary and Class Interval.{Definition: Grouped data can be defined as a set of data which have been arranged in groups or classes rather than showing all the original figures, for example,

GROUPED DATAMarksFrequency21-30331-40741-50651-60561-70871-8014Upper Boundary And Lower BoundaryUpper Boundary can be defined as a number that is greater than or equal to every number in a given set of real numbers wheares Lower Boundary is known as a number less than or equal to any number in a set.

MarksFrequencyLower BoundaryUpper Boundary21-30320.530.531-40730.540.541-50640.550.551-60550.560.561-70860.570.571-801470.580.5To find the midpoint of a set of grouped data, one must add the two apparent limits together and dividing it by two, for instance,

Take:(1)21+30=51 (2) [51] 2= 25.5Hence, the midpoint for this class is 25.5

Midpoint of a set of grouped dataMarksFrequencyLower BoundaryUpper BoundaryMidpoint21-30320.530.5 25.5A set of data is grouped into several classes and the range of each class is called the class interval.HOW TO FIND THE SIZE OF THE CLASS INTERVAL

SIZE OF CLASS INTERVALUPPER BOUNDARY LOWER BOUNDARYMarksFrequencyLower BoundaryUpper Boundary21-30320.530.531-40730.540.541-50640.550.551-60550.560.561-70860.570.571-801470.580.530.5-20.5 10.0Related SPM QuestionsScore0123Frequency546XThe table shows the scores by a student in a game.If the mean score is 2, find: The value of x The lower boundary and upper boundary of all the classes The size of class

The following frequency distribution table shows the scores obtained by a group of participants in a competition.ScoreNumber of participants586127x8695102Find the value of x if the median score is 6.Find the midpoint. Find the size of class.

Amount(RM)Frequency(f)60-69870-791080-891390-9916100-10912110-1191The table shows the salary earned by construction workers .Find the size of class.Determine the lower and upper boundary.Midpoint THANK YOU!!!!!! =D