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Standard Deviation Square root of the Variance: AP Stats Chapter 6 Review But use a calculator!! STAT CALC 1-VAR Stats -or- 2 nd STAT MATH stdDev(

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Presentation on theme: "Standard Deviation Square root of the Variance: AP Stats Chapter 6 Review But use a calculator!! STAT CALC 1-VAR Stats -or- 2 nd STAT MATH stdDev("— Presentation transcript:

1 Standard Deviation Square root of the Variance: AP Stats Chapter 6 Review But use a calculator!! STAT CALC 1-VAR Stats -or- 2 nd STAT MATH stdDev(

2 Z - Scores Determines number of standard deviations from the mean: AP Stats Chapter 6 Review

3 Standardizing GOALS: move center (mean) to zero change units to standard deviations AP Stats Chapter 6 Review

4 Standardizing Shift Left/Right – ADD constant to everything EXCEPT spread: range, IQR, standard deviation AP Stats Chapter 6 Review

5 Standardizing Changing Spread (units) – MULTIPLY EVERYTHING by constant! AP Stats Chapter 6 Review

6 Normal Model +/- 1 std.dev. AP Stats Chapter 6 Review

7 Normal Model +/- 2 std. dev. AP Stats Chapter 6 Review

8 Normal Model +/- 3 std.dev. AP Stats Chapter 6 Review

9 Graphing a Normal Model TI-83 AP Stats Chapter 6 Review Enter a formula in y= Defaults: mean=0, std.dev.=1 Turn all STAT PLOTS OFF You will need to set the window to fix xmin, xmax, xscale. ZOOM – 0 (zoomFit)

10 Z-Scores Percentiles TI-83 AP Stats Chapter 6 Review To find the percentage of data that fall below a given z-score*: If min is, use –9999 If max is, use 9999 Defaults: mean=0, std.dev.=1 *you can also use the z-table

11 Z-Scores Percentiles TI-83 AP Stats Chapter 6 Review To find the z-score that cuts off a percentage of data*: Defaults: mean=0, std.dev.=1 *you can also use the z-table

12 Z-Scores Percentiles TI-83 AP Stats Chapter 6 Review If min is, use –9999 If max is, use 9999 Defaults: mean=0, std.dev.=1 To SHADE the desired area given z-scores: Be sure model has been graphed using y= Clear any previous shading by 2 nd DRAW ClrDraw Enter z-scores: 2 nd DISTR DRAW

13 Are You Normal? AP Stats Chapter 6 Review Is a normal model the best for your data? To find out, do a Normal Probability Plot Enter data into L1 Turn a STAT PLOT ON Select the last Type (looks like a line graph) Select the correct Data List Choose Y for Data Axis Specify the Mark you want (it doesnt matter) ZoomStat The more linear, the more normal!


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