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Published byBonnie Fisher Modified over 8 years ago
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A way to organize data so that it has meaning!
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Descriptive - Allow us to make observations about the sample. Cannot make conclusions. Inferential – Allow us to generalize our findings from the sample to the population. Allow us to make conclusions.
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Nominal – used to name or categorize Ordinal – used to rank Interval – consistent units of measurement, equal spacing, no true zero point Ratio – same as interval, but with true zero point.
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Measures of Central Tendency Measures of Dispersion
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Describe “typical” score in a distribution Mode, median, mean
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Most frequently occurring number in data set *only measurement of central tendency that can be used with nominal level data If there are 2, call this a bimodal distribution
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Rank data ascending/descending order and find the “middle” number. Best indicator of central tendency when there is a skew b/c it is unaffected by extreme scores If n is odd, will be whole # If n is even, will be between two values
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Arithmetic average of a set Requires interval or ratio data Sum of all scores/n x 1 + x 2 + x 3 +…x n / n n = sample size Problem: Always pulled towards extreme scores or any skew of a distribution Look at standard deviation to help understand how far away most scores are from the average.
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If they are all similar, you have very little distortion/skew! If both the median and mode are to one side of the mean, your data is skewed or distorted!
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On Clear your list Stat button 1: 4 clear list 2 nd 1 (L1) Enter (done) Enter your data Stat button 1: Edit Enter data into L1 Magically calculate all of your descriptive stats!!! Stat button, arrow to calc 1: 1-Var Stats 2 nd 1 (L1) Enter Will list LOTS of numbers (mean, median, mode & S x =standard deviation)
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Bar graph Height of bars indicate % or frequency Titles and axis must be labeled to reflect the aim of the study!
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Amount of spread/variability in data distribution How close is each individual score to the overall mean?
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Distance between top and bottom values of a set. Not for nominal numbers! Advantages: easy to calculate Disadvantages: distorted by extreme scores misleading Doesn’t tell us if the values are closely grouped around the mean or equally spaced across entire range
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The average of how far the scores are from the mean Requires interval or ratio level data
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1. Find mean of data set 2. Subtract mean from each value = deviation (d) 3. Square each (d) 4. Find the sum of d 2 5. Divide step 4 by (N-1) 6. Take the square root of this number!
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This tells you how far away (on average) the scores are from the mean in the sample. The larger the standard deviation, the more variability in your data. The less you can trust your mean score to be an accurate representation of a typical score!
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Clear lists Stat button 4: clear list 2 nd function, 1 (for L1) Enter…screen will say “done” Enter your data Stat button Cursor will be on 1: edit, hit enter Enter your data into L1, hit enter after each number Magical calculation! Stat button Arrow over to Calc Cursor will be on 1: 1-Var Stats, hit enter Screen will say “1-Var Stats” 2 nd 1 (to tell it which list you want it to calculate from ) and hit enter MAGIC!!! S x = standard deviation
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