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- 1. 1 Edexcel GCSE 9-1 Psychology Topic 11 Research Methods Data anaysis (pp. 151-155) Learning objectives: 1) To learn about the use of arithmetic mean computation, including using standard and decimal form, estimates and significant figures. 2) To understand the use of maths skills (percentages, ratios, fractions), descriptive statistics (range, mean, median and mode) and how tocalculate them. Data analysis involves summarising data in order to draw conclusions from psychological research, which often produces a great deal of data. Task 1: Key terminology: try to write it in your own words! Data analysis Standard form Decimal form Decimal places Rounding Significant figures Estimate Ratios Fractions Percentages
- 2. 2 Arithmetic and numericalcomputation and decimal places and rounding Task 2: Answer the following questions: 1) Give an example of a number written in standard form. 2) Write the following numbers in decimal form. a) ½ b) 5/100 c) 290/1000 d) 1/6 3) What are the rules for rounding to 2 decimal places? 4) Round the following numbers to two decimal places. a) 49.532 b) 98.997 c) 34.5031 d) 1.345089 5) Answer the following exam style questions. A study was carried out by Smith (1938) to see whether reaction time to a flash of light would inform understanding of the functions of the two hemispheres of the brain. The mean (average) reaction times for left-and-right-hand responses were recorded as 0.248 and 0.251 milliseconds. a) Give each of these reaction times to 2 decimal places. (2 marks) b) Using your answer to part a, explain one problem with using 2 decimal places. ( 2 marks) Significant figures 6) Explain why the first number in any digit is the most significant. 7) What are zeros and why are they not always important? Estimation of results 8) Why are estimates useful in data analysis? 9) Look at the following table: Participant Score on extraversion-introversion scale (out of 40, extraversion is scored high) Score on perceived acceptance of risk (out of 40, risk is scored high) 1 20 15 2 35 28 3 12 10 4 16 34 5 30 25 6 24 20 List two findings from the table.
- 3. 3 Maths skills 10) What are ratios? 11) Ati’s mum has been diagnosed as having depression and Ati wants to know the likelihood of her father having a similar diagnosis. She found out that of a sample of 10, for every six females diagnosed with depression, three men (also from a sample of 100) were diagnosed with depression. State in two different ways the ration of females to males that Ati found when looking at gender and depression. 12) What are fractions used for? 13) How do you reduce fractions? 14) How do you calculate percentages? 15) What must the total percentage always add up to? What form are they written in? To how many decimal places? 16) Koko carried out a survey to find out what proportion of people said they became anxious when taking an exam. He asked 80 people: 35 said they strongly agreed to feeling anxious, 14 said they agreed, 12 said they disagreed and 19 said they strongly disagreed. Showing all your working out, calculate the proportions for Koko using: a) fractions b) decimal form c) percentages Descriptive statistics Key terminology: try to write it in your own words! Descriptive statistics Raw data Range Measure of dispersion
- 4. 4 Mode Bi-modal Multi-modal Median Mean/ arithmetic mean 17) Calculate the range for the following set of data. 10, 8, 5, 6, 7, 11, 5, 15, 11 18) Calculate the range for the following set of data. 15, 12, 11, 16, 14, 12, 10, 17, 15 19) What do we call it then there are two modes? 20) Calculate the mean for the following data set. 15, 12, 11, 16, 14, 12, 10, 17, 15 21) Calculate the median for the following data set. 15, 12, 11, 16, 14, 12, 10, 17, 15 22) Calculate the mode for the following data set. 15, 12, 11, 16, 14, 12, 10, 17, 15