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Reviewing Math Statistics by tracking temperatures Mean, Mode and Range
Thursday, January 03, 2008 - Debi Dutton

Statistics is often a feared math subject.  Today, we will introduce a child to gathering data and using it in different statistics.

For 7 days, have a child keep track of the temperature.  If you have a thermometer, try to take the reading at the same time each day.  You can also get temperature readings online or from a newspaper.

Select 3 different areas of the country or world.  For the first 7 days in January of 2007  Vero Beach, Florida; Green Bay, Wisconsin, and Fairbanks, Alaska were the chosen cities.

This was the data.

DATA Temperatures in Fahrenheit Degrees
January Vero Beach
Florida
Green Bay
Wisconsin
Fairbanks
Alaska
1 74 32 -16
2 72 33 -7
3 77 35 -10
4 76 34 -15
5 75 35 -26
6 75 31 -29
7 73 28 -2
 Total Degrees 522 228 -129

Mean or Average

The first statistic to find is the Mean or Average This is found by adding up all 7 temperatures for a location and dividing by 7.

Vero Beach 522/7 = 75 degrees
Green Bay 228/7 = 33 degrees
Fairbanks -129/7 = -18 degrees

Mode

The next statistic would be the mode, a number that appears most often in a listing of numbers.  Place the temperatures in numerical order

Vero Beach 72, 73, 74, 75, 75, 76, 77
Green Bay 28, 31, 32, 33, 34, 35, 35
Fairbanks -7, -10, -15, -16, -26, -26

We discover that the mode for Vero Beach is 75, Green Bay is 35, and Fairbanks is a COLD -26

Median

The next statistic to find is the median, the middle number of the group of numbers.

Vero Beach 72, 73, 74, 75, 75, 76, 77
Green Bay 28, 31,32, 33, 34, 35, 35
Fairbanks -7, -10, -15, -16, -26, -26, -29

There are 7 numbers given for the temperatures so the median number would be the fourth number.

Range

The last statistic to find is the range.  This is the difference between the lowest number and the highest number.

    RANGE
Vero Beach        77 - 72 = 5 Range 5
Green Bay      35 - 28 = 7 Range 7
Fairbanks      (-29) - (-7) = 22 Range 22

Look at all the statistics together and chat how the same temperature numbers can be used in different ways.

  Vero Beach Green Bay Fairbanks
Mean 75 33 -18
Range 5 7 22
Median 75 33 -16
Mode 75 35 -26

Encourage a child to find other reasons to use these statistics.  Perhaps by keeping track of number of jumping jacks done in a week or pieces of mail received for the week.

Use of a calculator helps with the computations which allows a child to focus on coming up with the statistics.

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Reviewing Math Statistics by tracking temperatures Mean, Mode and Range
 
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Reviewing Math Statistics


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