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10/3/07
Warm up:
What do you think about “statistics”? What does it mean to you.
Share with a partner.
Notes: Statistics – Measures of Central Tendency
1. Mean- “Average”
a. To find the mean – add the numbers and divide by the number of pieces
of data.
2. Median – Middle Number in the ordered list.
a. Odd number of data point - Order the data and find the middle number.
b. If there is an even number of data points – Find the two middle
numbers and calculate the “Average” of those two numbers.
3. Mode – The mode is the most frequent number in a data set
a. There can be more than one mode
b. There can sometimes be no mode – Don’t say 0 must say NONE or No
Mode as your answer.
EX:
Top 15 Money Amounts for 2007 Golfers
1
1
Tiger Woods
16
$10,867,052
9
9
Sergio Garcia
19
$3,721,185
11
11
Adam Scott
19
$3,413,185
2
2
Phil Mickelson
21
$5,819,988
15
15
Scott Verplank
21
$2,875,089
10
10
Aaron Baddeley
22
$3,441,119
12
12
Geoff Ogilvy
22
$2,943,203
4
4
Steve Stricker
23
$4,663,077
6
6
Rory Sabbatini
23
$4,550,040
7
7
Jim Furyk
23
$4,154,046
8
8
Zach Johnson
23
$3,922,338
13
13
Mark Calcavecchia
24
$2,925,332
5
5
K.J. Choi
25
$4,587,859
14
14
Woody Austin
26
$2,878,902
3
3
Vijay Singh
27
$4,728,376
STATS Key
STAT has two major categories, EDIT and CALC
STAT-EDIT
1. Edit - Use this to enter data into a list.
2. SortA( - This will sort a list in ascending order. This is useful if you want to find the frequencies after you have
already established the limits or boundaries. Since the data is sorted in order, you just have to go through and
count the number in each class. You don't need to do the tally. This will replace the list you tell it sort.
3. SortD( - This will sort a list in descending order. This will replace the list you tell it to sort.
4. ClrList - This will erase any existing lists.
STAT-CALC
1. 1-Var Stats - This is used when there is only one variable. It will handle both raw data and frequency
distributions. X = Mean and Med is the median
LIST-OPS
1. SortA( - This will sort a list in ascending order. This command is equivalent to the SortA( command under the
STATS key.
2. SortD( - This will sort a list in descending order. This command is equivalent to the SortD( command under the
STATS key.
LIST-MATH
1. min( - Returns the minimum value in a list.
2. max( - Returns the maximum value in a list
3. mean( - Returns the arithmetic mean of all numbers in the list. The mean is the sum of the list divided by the
dimension of the list.
4. median( - Returns the median of the list. The median is the middle number when the list is sorted in ascending
order. If the dimension is an even number, the median is the midpoint between the two middle values when the
list is sorted in ascending order.
5. sum - Returns the sum of the values in the list.
6. prod - Returns the product of the values in the list. If the product of a list is zero, then at least one of the numbers
is zero.
If you are just finding the mean and median of a list of data
Mean(L1)
If you have frequency in the first column use Mean (L1, L2)
Word problems: Examples in class 5,7,9
Homework:
With Work page 557-559 (1-30 even)
#14 – Can use calculator find mean, median and mode for each one.