STATISTIC : ORGANIZING DATA Raw Data Information obtained by observing values of variable. Frequency distribution List all categories and the number of elements that belong to each categories Relative frequency Obtained by dividing the frequency for a category by the sum of all the frequencies The sum of the relative frequencies will always equal one Percentage Obtained by multiplying the relative frequency for that category by 100 See Table 2.0

STATISTIC : ORGANIZING DATA CATEGORYFREQUENCYRELATIVE FREQUENCY PERCENTAGE Rape22/25= x 100 = 8% Robbery33/25= x 100 = 12% Burglary33/25= x 100 = 12% Arson33/25= x 100 = 12% Murder33/25= x 100 = 12% Theft88/25= x 100 = 12% Manslaughter33/25= x 100 = 12% Total % Table 2.0

STATISTIC : ORGANIZING DATA Bar graph Graphs composed of bars whose height are the frequencies of different categories Figure 2.0 Pie Chart Used to graphically display qualitative data. A circle divided into portions that represent relative frequency or percentages belonging to each categories. Figure 2.1 Histograms Graph that displays the classes on the horizontal axis and the frequencies of classes on the vertical axis (x, y). Although is similar to bar graph a histogram utilizes classes or intervals and frequencies while bar graph utilizes categories and frequencies. Figure 2.2

STATISTIC : ORGANIZING DATA Class limits, Class Boundaries, Class Marks, And Class Width Frequency Distributions When forming a frequency distribution, these general guidelines should Be followed (i) The number of classes should be between 5 and 15 (ii) Each data value must belong to one, and only one, class (iii) When possible all classes must be in equal width See Table 2.1

STATISTIC : ORGANIZING DATA Frequency Distributions Score/ Class Limits FrequencyLower Limit Upper Limit Class BoundariesClass WidthClass Marks Boundaries If the lower class limit for second class, 95, is added to the upper class limit for the first class 94, and the sum divided by 2 the upper boundary and lower boundary for the second class is determined. Class Marks If the lower class limit is added to the upper class limit for any class and the sum divided by 2, the class mark is obtained. Table 2.1

Camping 29% Swimming 32% Horse Riding 39% Figure 2.1 A BC Figure Number of students for each grade in a Class Types of Most Favored Hobbies and the percentages STATISTIC : ORGANIZING DATA Frequency Distributions

Figure Price for 1 liter mineral water in several outlets Price Frequency

CATEGORYFREQUENCYRELATIVE FREQUENCY PERCENTAGE India2 China5 Japan10 Malaysia10 Australia4 Indonesia4 Total Exercise 1 : Fill the empty spaces with the required details Create a pie chart using the details you’ve got from the table above

Exercise 2 : Fill the empty spaces with the required details Cholesterol value Frequency Lower limit Upper Limit Lower boundary Upper boundary Class mark Create a Histogram with the answers you get from the filled table above