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AP Statistics Normal Distribution Chapter 2 Practice Questions |
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1 |
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What percent of the data is contained within
+1 and -2 standard deviations of the mean?
81.5% |
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2 |
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If the interquartile range of a data set is
200 what is the best estimate of standard deviation?
150 |
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3 |
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If the average verbal SAT score is 500 and the
standard deviation is 100, what % of the SAT test takers score above 700?
2.5% |
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4 |
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The average IQ in the U.S.A. is 100 with a
standard deviation of 15 and is roughly normally distributed. What percent
of the population has an IQ above 70? 97.5% |
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5 |
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Using the normal distribution, what is the
probability of finding an individual with an IQ between 85 and 145?
83.85% |
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6 |
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What is the smallest amount of data contained
within plus or minus 3 sigma of the mean, given any distribution? |
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a) 34% b) 68% c) 75%
d) 89% e) 93% |
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7 |
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Where are the 2 inflection points found on a
normal distribution? Plus or minus 1 sigma |
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8 |
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What is the z-score corresponding to Q1 of a
box and whiskers plot? -2/3 |
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9 |
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For normally distributed data a normal
quantile plot will appear to be ________________.
linear |
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10 |
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Draw a box a box and whiskers plot for normally
distributed data.
The plot is
approximately symetrical and each whiskers is about 1.5 times the length of
the box.
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11 |
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Draw an ogive for a normal
distribution. |
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12 |
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Given the following 5
number summary 2, 3, 7, 11, 12 is the distribution normal?
No, the box is wider than the whiskers |
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13 |
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Given a normal quantile
plot, how can you tell if the distribution is normal?
The plot will look like a straight line. |
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14 |
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What is a density curve?
A mathematical model of a distribution. |
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15 |
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What is the difference
between pdf and cdf? pdf = height at a point,
cdf cumulative area |
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16 |
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What is the actual range
of a normal distribution? infinity |
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17 |
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What is the estimated
range for normally distributed data? 6 sigma |
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18 |
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Given that IQR = 6, what
is the standard deviation. (assume normally distributed data)
4.5 |
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19 |
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Given the following 5
number summary 1, 6, 7, 8, 13 draw an ogive. Is
the data normally distributed? Why or why not?
answer |
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20 |
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For normally distributed
data the mean = 50 and the standard deviation = 10. Draw an ogive for the
data. Find the IQR.
answer |
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