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AP Statistics UPDATED ACTUAL Questions and CORRECT Answers

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AP Statistics UPDATED ACTUAL Questions and CORRECT Answers How do you check if there is outliers? - CORRECT ANSWER - calculate IQR; anything above Q3+1.5(IQR) or below Q1-1.5(IQR) is an outlier If a graph is skewed, should we calculate the median or the mean? Why? - CORRECT ANSWER - median;...

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  • October 30, 2024
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  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • AP Statistics
  • AP Statistics
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AP Statistics UPDATED ACTUAL
Questions and CORRECT Answers
How do you check if there is outliers? - CORRECT ANSWER - calculate IQR; anything
above Q3+1.5(IQR) or below Q1-1.5(IQR) is an outlier


If a graph is skewed, should we calculate the median or the mean? Why? - CORRECT
ANSWER - median; it is resistant to skews and outliers


If a graph is roughly symmetrical, should we calculate the median or the mean? Why? -
CORRECT ANSWER - mean; generally is more accurate if the data has no outliers



What is in the five number summary? - CORRECT ANSWER - Minimum, Q1, Median,
Q3, Maximum


Relationship between variance and standard deviation? - CORRECT ANSWER -
variance=(standard deviation)^2


variance definition - CORRECT ANSWER - the variance is roughly the average of the
squared differences between each observation and the mean


standard deviation - CORRECT ANSWER - the standard deviation is the square root of
the variance


What should we use to measure spread if the median was calculated? - CORRECT
ANSWER - IQR


What should we use to measure spread if the mean was calculated? - CORRECT
ANSWER - standard deviation

,What is the IQR? How much of the data does it represent? - CORRECT ANSWER - Q3-
Q1; 50%


How do you calculate standard deviation? - CORRECT ANSWER - 1. Type data into L1
2. Find mean with 1 Variable Stats
3. Turn L2 into (L1-mean)
4. Turn L3 into (L2)^2
5. Go to 2nd STAT over to MATH, select sum(
6. Type in L3
7. multiply it by (1/n-1)
8. Square root it


What is the formula for standard deviation? - CORRECT ANSWER -



Categorical variables vs. Quantitative Variables - CORRECT ANSWER - Categorical:
individuals can be assigned to one of several groups or categories
Quantitative: takes numberical values


If a possible outlier is on the fence, is it an outlier? - CORRECT ANSWER - No



Things to include when describing a distribution - CORRECT ANSWER - Center (Mean
or Median), Unusual Gaps or Outliers, Spread (Standard Deviation or IQR), Shape (Roughly
Symmetric, slightly/heavily skewed left or right, bimodal, range)


Explain how to standardize a variable. What is the purpose of standardizing a variable? -
CORRECT ANSWER - Subtract the distribution mean and then divide by standard
deviation. Tells us how many standard deviations from the mean an observation falls, and in
what direction.

, What effect does standardizing the values have on the distribution? - CORRECT
ANSWER - shape would be the same as the original distribution, the mean would become
0, the standard deviation would become 1


What is a density curve? - CORRECT ANSWER - a curve that (a) is on or above the
horizontal axis, and (b) has exactly an area of 1


Inverse Norm - CORRECT ANSWER - when you want to find the percentile: invNorm
(area, mean, standard deviation)


z - CORRECT ANSWER - (x-mean)/standard deviation



pth percentile - CORRECT ANSWER - the value with p percent observations less than is



cumulative relative frequency graph - CORRECT ANSWER - can be used to describe the
position of an individual within a distribution or to locate a specified percentile of the
distribution


How to find and interpret the correlation coefficient r for a scatterplot - CORRECT
ANSWER - STAT plot, scatter, L1 and L2 (Plot 1: ON); STAT --> CALC -->
8:LinReg(a+bx)
No r? --> 2nd 0 (Catalog) down to Diagnostic ON


r - CORRECT ANSWER - tells us the strength of a LINEAR association. -1 to 1. Not
resistant to outliers


r^2 - CORRECT ANSWER - the proportion (percent) of the variation in the values of y
that can be accounted for by the least squares regression line

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