# SD and Normal Distribution Worksheet ```Multiple Choice Warm-up to go with SD and Normal Distribution
Worksheet
1)
2)
3)
4)
There is no 5 and 6.
#1) 28 31 34 35 37 41 42 42 42 47
49 51 52 52 60 61 67 72 75 77
#3) Age:
18 19 20 21 22 23
24 25 32
Number of students:14 120 200 200
90
30
10
2
1
Quiz on 2.4 and 2.5 Next class!
• Make sure you understand cummulative
percentile graphs
• Understand normal distribution problems:
know how to draw the curve with labels.
• Know how to solve the for the percentile or
proportion of data between or below a
number in distribution curve.
2.5 H.W. #63 - 65
63) i. 0.6318 or 63.18% ii. 0.0394 or 3.94% iii. 0.3101 or 31%
64) Mean is 511 and the standard deviation is 112
The college is looking for the top 20% or 80th percentile or
above. You could use invNorm(0.8, 511, 112) = 605 OR estimated
using the 68, 95, 99.7 rule.
From 0 to the mean of 511 is 50% of the scores, plus 1 SD
would make it 84% (near the 80th percentile) 511+ 112= 623
65) For males normalcdf (62, 72, 70.1, 2.5) = 0.7758 or 77.6%
For females normalcdf(62,72,64.8,2.5) = 0.8667 or 86.7%
Student of the day!
Block 4
Student of the day!
Block 5
Student of the day!
Block 6
Chebychev’s Rule Re-visited
#6 of Multiple Choice Yesterday
A set of 5,000 scores on a college readiness exam with a
mean of 72 and an s.d. of 6. If the scores are not normally
distributed, what can be said of the scores less than 58.
First: Use z-score to find how many s.d. 58 is from the
58  72  14
mean.

  2.33
6
6
Using Chebyshev’s rule for what is NOT within 2.33 s.d.
1
from the mean:
 18 .37 %
2
2.33
This is above 2.33 and below 2.33; 18.37% of 5,000 is 918
students ….that is the closest to the correct answer that can
be chosen since the curve is not normally distributed.
#10 of Multiple Choice use InvNorm
The mean was 2.05 with an s.d. of 1, to the nearest
tenth what was a score of someone in the 90th
percentile.
InvNorm reverses normalcdf
InvNorm (when mean and s.d. are entered) give
the proportion below that value.
InvNorm(.9, 2.05, 1) = 3.33 or choice B
a
e
d
b
d
b
e
a
d
b
Using the z-score table.
SD and Normal Distribution Worksheet
Problem #1
SD and normal distribution worksheet
Problem #3
Draw and label the bell curve for both cows.
SD and normal distribution worksheet
Problem #4
H.W. Assignment
• Normal Distribution Worksheet #1 and #2
• Be prepared for quiz on 2.4 and 2.5 next class!
• Have your notes and warm-ups organized in the notes
section of your notebook. You should all 10 terms copied
and defined for 2.4 and 2.5 in your definition section in