WEEK #6 DISCUSSION SOLUTION, SECTION B
B.
THREADED DISCUSSION PROBLEMS – Mean, Mode, Median & Standard Deviation
–
WEEK # 6
1)
Use the sample shown below to calculate the
mean
and
standard deviation
using the
instructions in Lecture 6 for either the
TI  83
or the
TI BA II Plus
. Please note
the
UNDERLINED
statement below.
Also, calculate the
median
and
mode
,
manually, for the following sample. This sample
totals
"66"
which is an
EVEN
number.
SEE LECTURE6;
DON’T USE THE FORMULA METHOD SHOWN
TO CALULATE
STANDARD DEVIATION. USE INSTRUCTIONS SHOWN
USING EITHER THE
TI83
PLUS OR
THE TI BA II PLUS.
Observation…Frequency
40………………….
.15
50………………….
.18
60………………….
.14
70………………….
.19
Total……………….
.66 (
EVEN NUMBER
)
Solution:
•
The total of the frequencies is 66.
•
Divide that number by 2 to get 33.
•
The 33
rd
number in sequence is 50.
The first 15 numbers are 40’s followed by
the next 18 numbers being 50’s.
This represents the first 33 #’s.
•
The 34
th
number in sequence would be a 60.
•
Adding the 33
rd
# to the 34
th
# in sequence (the observations
50 + 60
) and then
dividing the result (
110
) by
2
, gets you the median of
55.
Through the use of the calculator the solution to the
Mean, Mode and Standard
Deviation
are as follows:
Mean –
55.61
Standard Deviation 
11.30
Mode 
70
2)
Calculate the
median only
, manually, for the following sample. The calculation of the
mean
,
mode
or
standard deviation
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 Spring '10
 
 Normal Distribution, Standard Deviation, #, $30,000, $60,000, $750,000

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