Download S3 Mod 12 Nearly Normal – Act 2 –

S3 Mod 12 Nearly Normal – Act 2 – Exploration 2 Pg 349
names:
First, complete the table by finding the relative frequency:
Simulating May Precipitation Using 12 Coins
Precipitation (cm)
# of heads
Frequency
Relative Frequency
[0, 2)
[2, 4)
[4, 6)
[6, 8)
[8, 10)
[10, 12)
[12, 14)
[14, 16)
[16, 18)
[18, 20)
[20, 22)
[22, 24)
[24, 26)
1)
mean:
2)
0
1
2
3
4
5
6
7
8
9
10
11
12
0
0
2
7
11
25
23
13
12
4
2
1
0
Using the sample data provided find the following data in terms of number of heads:
median:
standard deviation:
a) draw a relative frequency histogram and
b) a relative frequency polygon for the number of heads.
 On the x-axis – of each of these:
o identify and label where the mean occurs
o identify and label the x-values 1 standard deviation on either side of the mean
o identify and label the x-values 2 standard deviations on either side of the mean
y
x
3)
Determine the theoretical probability distribution for 12 coins
(Hint: Pg 346 Discussion 1 question a…Pascal’s triangle)
o create a table showing # of heads, Frequency, Probability
o create a relative frequency polygon of this distribution
Number of Heads
Frequency
0
1
2
3
4
5
6
7
8
9
10
11
12
1
12
Probability
924
66
y
x
4)
Use the formulas   np and   np(1  p) to calculate the mean and standard deviation of the
binomial distribution for tossing a coin 12 times and counting the number of heads that appear.
  np :
 Compare these to your values from #1.
  np(1  p) :