Population Statistics Choropleth Map



Choropleth Map: Equal Intervals

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You must use math to find the ranges of statistics to map. This will become your key. In other words, when you finish the math you will have 5-8 ranges of numbers that you will use to color your map.

1. Choose a population statistic from the PRB chart _____________________________

2. Find the highest number for that statistic

3. Find the lowest number for that statistic

4. Subtract the lowest from the highest to get the difference

5. How many categories (colors) do you want to use (between 5-8)?

6. Divide the difference by the number of colors

(this is a super special number )

7. It is time to fill in the key! Start with the lowest number, add the special number to it. This results in the first range.

8. Now, listen to ME! Add the special number to the higher number in the first range. Keep adding the special number to the higher number of the range.

9. Go back and fill in the lower number of each range. Do this by making it slightly higher than the range before it.

10. Only color in nations that are already on the map. You do not need to draw in countries.

Example with numbers! - Equal Intervals

1. Choose a population statistic from the PRB chart _____________________________

2. Find the highest number for that statistic

3. Find the lowest number for that statistic

4. Subtract the lowest from the highest to get the difference

5. How many categories (colors) do you want to use (between 5-8)?

6. Divide the difference by the number of colors

(this is a super special number )

7. It is time to fill in the key! Start with the lowest number, add the special number to it. This results in the first range.

8. Now, listen to ME! Add the special number to the higher number in the first range. Keep adding the special number to the higher number of the range.

9. Go back and fill in the lower number of each range. Do this by making it slightly higher than the range before it.

10. Only color in nations that are already on the map. You do not need to draw in countries.

KEY

10 – 13

13.1 – 16

16.1 – 19

19.1 – 22

22.1 – 25

Choropleth Map: Natural Breaks

[pic]

You must use math to find the ranges of statistics to map. This will become your key. In other words, when you finish the math you will have 5-8 ranges of numbers that you will use to color your map.

1. Choose a population statistic from the PRB chart _____________________________

2. Along the bottom of this sheet, place the data in numerical order.

3. How many categories (colors) do you want to use (between 5-8)?

4. Examine the data to determine the natural breaks. Draw a line where a natural break occurs. Hint: notice where a couple of numbers are skipped in the sequence (2, 3, 6, 7, 10…. Between 3 and 6 is a natural break, another natural break is between 7 and 10.)

5. Determine which breaks you will use – refer back to the number of colors you want to use. Circle each number immediately after the break (in the above example the 6 and the 10).

6. It is time to fill in the key. Start with the lowest number, then directly below fill in the first circled number. Repeat until all of the circled numbers are listed. This will be the lowest number in each data range.

7. To determine the highest number in each data range, do this by making the number slightly lower than the range below it.

8. Only color in nations that are already on the map. You do not need to draw in countries.

Example with numbers – Natural Breaks

1. Choose a population statistic from the PRB chart _____________________________

2. Along the bottom of this sheet, place the data in numerical order.

3. How many categories (colors) do you want to use (between 5-8)?

4. Examine the data to determine the natural breaks. Draw a line where a natural break occurs. Hint: notice where a couple of numbers are skipped in the sequence (2, 3, 6, 7, 10…. Between 3 and 6 is a natural break, another natural break is between 7 and 10.)

5. Determine which breaks you will use – refer back to the number of colors you want to use. Circle each number immediately after the break (in the above example the 6 and the 10).

6. It is time to fill in the key. Start with the lowest number, then directly below fill in the first circled number. Repeat until all of the circled numbers are listed. This will be the lowest number in each data range.

7. To determine the highest number in each data range, do this by making the number slightly lower than the range below it.

8. Only color in nations that are already on the map. You do not need to draw in countries.

KEY

2 – 9 10 - 17

18 - 24 25 - 36

37 – 46 47 – 49

Choropleth Map: Quintiles

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You must use math to find the ranges of statistics to map. This will become your key. In other words, when you finish the math you will have 5-8 ranges of numbers that you will use to color your map.

1. Choose a population statistic from the PRB chart _____________________________

2. Along the bottom of this sheet, place the data in numerical order.

3. How many total numbers are listed?

÷

4. The number of categories (colors) will be 5. Why 5? Because the

data is divided into quintiles which means 5 groups.

5. To determine the number of data to be included in each category. Divide the total numbers by 5 (so if there are 20 data numbers in the box below, divide 20 by 5)

6. Now, start with the lowest number and circle the data to go in each category.

7. It is time to fill in the key. Start with the lowest number, then directly below fill in the first circled number. Repeat until all of the circled numbers are listed. This will be the lowest number in each data range.

8. To determine the highest number in each data range, do this by making the number slightly lower than the range below it.

9. Only color in nations that are already on the map. You do not need to draw in countries.

Example with Numbers - Quintiles

[pic]

3. How many total numbers are listed?

÷

4. The number of categories (colors) will be 5. Why 5? Because the

5. data is divided into quintiles which means 5 groups.

6. To determine the number of data to be included in each category. Divide the total numbers by 5. If you have a decimal then some of the groups may have one more data than the other groups. Notice there are 3 countries with a data of 21. The countries will be split into different groups.

7. Now, start with the lowest number and circle the data to go in each category.

8. It is time to fill in the key. Start with the lowest number, then directly below fill in the first circled number. Repeat until all of the circled numbers are listed. This will be the lowest number in each data range.

9. To determine the highest number in each data range, do this by making the number slightly lower than the range below it.

10. Only color in nations that are already on the map. You do not need to draw in countries.

KEY

2 – 15 16 - 21

21 - 28 29 - 38

39 – 444

Choropleth Map: Standard Deviation

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You must use math to find the ranges of statistics to map. This will become your key. In other words, when you finish the math you will have 5-8 ranges of numbers that you will use to color your map.

1. Choose a population statistic from the PRB chart _____________________________

2. Use Column 1 to place the data in numerical order.

|Column 1 |Column 2 |Column 3 |

|Data in Numerical Order |Data minus mean equals |Square the difference |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

3. Determine the mean to the nearest tenth.

4. In column 2, for each data point, subtract the mean.

5. In column 3, square the difference from column 2.

6. Determine the mean of column 3

7. Find the square root of the mean from column 3

8. Add the square root of the mean from column 3 (question 7) to the original mean (question 3) to find +1 standard deviation. All numbers from the mean to +1 will be grouped in the same category.

9. Add the square root of the mean from column 3 (question 7) to the answer from question 8 to find +2 standard deviation.

10. Subtract the square root of the mean from column 3 (question 7) from the original mean (question 3) to find -1 standard deviation.

11. Subtract the square root of the mean from column 3 (question 7) from the answer to question 10 to find the -2 standard deviation.

12. It is time to fill in the key. For the first range, the lowest number will be the -2 standard deviation. For the second range, the lowest number will be the -1 standard deviation. The third range lowest number is the mean. The fourth range lowest number is the +1 standard deviation.

13. To determine the highest number in each data range, do this by making the number slightly lower than the range above it.

Examples with Numbers: Standard Deviation

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2. Use Column 1 to place the data in numerical order.

|Column 1 |Column 2 |Column 3 |

|Data in Numerical Order |Data minus mean equals |Square the difference |

|4 |-8.5 |72.25 |

|7 |-5.5 |30.25 |

|8 |-4.5 |20.25 |

|10 |-2.5 |6.25 |

|15 |2.5 |6.25 |

|17 |4.5 |20.25 |

|19 |6.5 |42.25 |

|20 |7.5 |56.25 |

3. Determine the mean to the nearest tenth.

4. In column 2, for each data point, subtract the mean.

5. In column 3, square the difference from column 2.

6. Determine the mean of column 3

7. Find the square root of the mean from column 3

8. Add the square root of the mean from column 3 (question 7) to the original mean (question 3) to find +1 standard deviation. All numbers from the mean to +1 will be grouped in the same category.

9. Add the square root of the mean from column 3 (question 7) to the answer from question 8 to find +2 standard deviation.

10. Subtract the square root of the mean from column 3 (question 7) from the original mean (question 3) to find -1 standard deviation.

11. Subtract the square root of the mean from column 3 (question 7) from the answer to question 10 to find the -2 standard deviation.

KEY

1.3 – 6.9 7.0 – 12.5

12.5 – 18.1 18.2 – 23.7

-----------------------

25

10

15

5

3

Place data in numerical order

6

Place data in numerical order

2, 3, 6, 7, [pic] 10, 11, 12, 16, 18, 19, 20, 21, 25, 26, 27, 27, 28,

29, 30, 31, 31, 32, 32, 37, 38, 40, 40, 41, 47, 47, 48, 48, 49

5

Place data in numerical order

36

5

7.2

Place data in numerical order

2, 3, 5, 7, 9, 11, 13, 15, 18, 19, 19, 19, 20, 20, 21, 21, 21, 22, 24, 25, 27, 28,

29, 32, 33, 33, 34, 37, 38, 39, 40, 41, 41, 41, 41, 44

12.5

31.75

5.6

18.1

23.7

6.9

1.3

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