Calculating
the Mean
(SAMPLE)
Average Rubythroat First Arrival Dates
Step
1) Organize the data
List the dates of first sightings. (You don't have to include the years.)
Find the earliest first sighting. Then write "1st" down in the
"order" column next to that date. Then find the 2nd earliest
sighting. Write "2nd" next to that date. Continue to do this.
If hummers were seen on the same date in two different years, give them
the same order number.
First
Spring Hummer in St. Louis, MO
Observations by Lanny
Chambers
1994-2003
|
Date
of 1st Sighting |
Order (1st, 2nd, etc) |
04/22 |
5th |
04/20 |
4th |
04/20 |
4th |
04/19 |
3rd |
4/16 |
1st |
4/19 |
3rd |
4/16 |
1st |
4/19 |
3rd |
4/17 |
2nd |
4/23 |
6th |
Step
2)
Determine
the range (the
difference between the earliest and latest dates in a set of data).
- The
earliest date is April 16.
- The
latest date is April
23.
- The
range is 7
days.
Step
3)
Enter data on this second chart
- Write
in calendar dates, beginning with the earliest sighting (on line 1)
and ending with the latest one.
- Enter
all first sighting dates in the next column. When you have more than
one date that's the same, it goes on the same line.
-
In the last column, write in the values (order numbers) for each date
entered.
- Add the
values for all the dates on your chart to get the total.
Value
|
Calendar
Date |
Date
of First Sighting
in St. Louis |
Values
for each date |
1
|
04/16 |
4/16/98,
4/16/00
|
1,
1 |
2
|
04/17 |
4/17/02 |
2 |
3
|
04/18 |
|
|
4
|
04/19 |
04/19/97,
4/19/99,
4/19/01 |
4,
4, 4 |
5
|
04/20 |
04/20/95,
04/20/96 |
5,
5 |
6
|
04/21 |
|
|
7
|
04/22 |
4/22/94 |
7
|
8
|
04/23 |
4/23/03
|
8
|
|
|
Total
|
41 |
Step
4) Calculate the Mean (the
average of all the values).
To determine the mean, take the sum (total) the values and divide by
the number of years. The answer will give you the order number of the
mean date.
41
divided by 10 years = 4.1 , so mean arrival date = 4/19
|