STATISTICSMATH ASSIGNMENT IX D • Kirana Ayu Imani • Siska Mutiara • Niluh Putu Citra Dewi • Zahra Nabilah
What Is Statistics ?• Statistics is the science or scientific method of collecting, organizing, processing, presenting and analyzing data and drawing conclusion according to the result of the data analysis.• Statistics is the study of statistics from a mathematical standpoint, using probability theory as well as other branches of mathematics such as linear algebra and analysis. The term "mathematical statistics" is closely related to the term "statistical theory" but also embraces modelling for actuarial science and non-statistical probability theory.• Statistics is the science of collecting, organizing and summarizing data such that valid conclusions can be made from them. The collecting, organizing and summarizing part is called “descriptive statistics”, while making valid conclusions is inferential statistics.
Collection of Data• Collection of the data is the beginning stage (the first step) in the statistical activity. Collecting data can be performed by interview of questionnaire,then continued by one of the following activities : 1. Counting 2. Measuring 3. Recording data by tallies
Two Types Of Statistica Data• QUANTITATIVE data are obtained from the result of numerical recording(in the form of figures)• QUALITATIVE data are data related to the category of characteristics of an object.
Measure Of Central Tendency• MEAN (arithmetic mean) Mean of data set is the sum of all data values divided by the number of data• MODE Mode is the value that occurs most frequently• MEDIAN Median is measure of central tendency used to analyzed data.
Formula• MEAN mean( x ) = sum all value ( ∑n ) number of data (n)• MODE Mode = the value of highest frequency• MEDIAN Median = middle value after being ordered• RANGE Range = the highest score – the lowest score
For Example4,3,7,6,5,4,8,7,6.Mean = 1+3+4+4+5+6+7+7+8 9 =5Median = 1,3,4,4,5,6,7,7,8 =5Mode = 4 and 7Range = 8 – 1 =7
We had tried to survey about“ How Much Your Daily Pocket Money ?” And “ How Long Your Time To Study ?”In grade VII A , Total students is 30. And the result is …
“ How Much Your Daily Pocket Money ?”A. Rp 5,000,- = 1 personB. Rp 10,000,- = 11 personC. Rp 15,000,- = 18 personLets try to measure the centraltendency !
Data Tally(ies) Frequency X.F 5,000 I 1 5,000 10,000 IIII IIII I 11 110,000 15,000 IIII IIII IIII III 18 270,000 Total : 30 385,000Mean = 385,000 30 = Rp 12,833,-Median = 15,000Mode = 15,000Range = 15,000 – 5,000 = 10,000