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How to mentally succeed in this course.. Limit catastrophic thoughts You will be fine if you think you’ll be fine – Jocelin Many people have the same anxiety as you. - Madison Start early/time management Educate yourself on the basics for statistics before you begin other aspects of the course. – Amy Balancing your time isn’t easy, but it is something we all have to face in our lives - Emily Math is not a talent, but an effort “Keep up” – Madison, Samuel, Antonia, Jocelin, Destiny, Caroline I will commit to practicing more and watching more tutorials - Aizhan.
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PSY330 Statistics for the Behavioral and natural sciences.
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To gain a better understanding of: Measures of Central Tendency (Mean, Median Mode) Standard Deviation Normal Distributions.
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Some tricky things about central tendency…. Measures of Central Tendency.
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This is NOT the mode!!. This is the mode. Mode. *Note: The mode will always be on the x-axis..
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Median. Median - the value that is the mid-point of a variable. Half the values are smaller than the median and half the values are bigger.
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Median. Median - the value that is the mid-point of a variable. Half the values are smaller than the median and half the values are bigger.
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Mean is the average data point of all the variables in your data set. Can only be used to describe interval and ratio data (not ordinal or nominal) ∑xi N Simply add up the data points and divide by the total number of data points..
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∑xi N. = (20 + 21+ 24+22+26) = 22.6 5. Mean. x̅ = 22.6.
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∑xi N. = (20 + 23+ 29+23+35) = 26 5. Mean. ȳ = 26.
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Age (xi) 1 2 2 2 2 2 3 3 3 100. Age (yi) 10 10 11 11 12 12 13 13 14 14.
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Standard Deviation (Sx) - the average distance between the mean and the scores in the data set The larger the difference between individual scores, the higher your standard deviation (Sx).
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Lets describe what these symbols mean: Sx = Standard Deviation ∑ = “the sum of” Xi = the specific data point in the sample X = mean of the sample n = # of data points in the data set.
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Income (xi) 20 23 29 23 35. X̄ = 26. Income (xi) Xi - X̄ 20 20-26 = -6 23 23-26 = -3 29 29-26 = 3 23 23-26 = -3 35 35-26 = 9.
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[image] M = 52 SD = 12 M -52 SD -24 4 16 28 40 52 64 76 88 100.
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Image:Standard deviation diagram.svg. Image:Standard deviation diagram.svg.
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[image] 34.1% 2.1% 13.6% 34.1% 2.1% 0.1% 13.6% |.
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They help us estimate how much of the population falls within certain scores. X̄ ± 2 S = Range of scores that 95% of the population will be in If the X̄ = 100 and the S = 15, then 95% of the population falls between two scores? 100 – (15 x 2) = 70 100 + (15 x 2) = 130 THEREFORE, 95% of the population falls between 70 and 130.
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If the X̄ = 200 and the S = 45, then 95% of the population falls between two scores? 200 – (45 x 2) = 110 200 + (45 x 2) = 290 THEREFORE, 95% of the population falls between 110 and 290..
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If the X̄ = 10 and the S = 2, then 68% of the population falls between two scores? 10 – (2 x 1) = 8 10 + (2 x 1) = 12 THEREFORE, 68% of the population falls between 8 and 12. And 95% of the population falls between ___ and ___?.
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55 70 85 100 115 130 145. The Normal Distribution.