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**Square root of the Variance:**

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

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**Determines number of standard deviations from the mean:**

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

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**GOALS: move center (mean) to zero change units to standard deviations**

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

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**Standardizing Shift Left/Right – ADD constant to everything EXCEPT**

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

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**Changing Spread (units) – MULTIPLY EVERYTHING by constant!**

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

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**Normal Model +/- 1 std.dev.**

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

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**Normal Model +/- 2 std. dev.**

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

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**Normal Model +/- 3 std.dev.**

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

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**Graphing a Normal Model TI-83**

AP Stats Chapter 6 Review Graphing a Normal Model TI-83 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)

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**Z-Scores Percentiles TI-83**

AP Stats Chapter 6 Review Z-Scores Percentiles TI-83 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

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**Z-Scores Percentiles TI-83**

AP Stats Chapter 6 Review Z-Scores Percentiles TI-83 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

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**Z-Scores Percentiles TI-83**

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

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**Are You Normal? Is a normal model the best for your data?**

AP Stats Chapter 6 Review Are You Normal? 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 doesn’t matter) ZoomStat The more ‘linear’, the more ‘normal’!

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