Find the best answers to your questions with the help of IDNLearn.com's expert contributors. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.
Sagot :
To properly represent the given data by a pie diagram, we need to follow a series of steps that will help us display the relative proportions of infant mortality rates (IMR) among the regions listed. Here's a step-by-step solution:
### Step 1: Understand the Data
We have the following data:
- Andhra Pradesh: IMR = 29
- D & N Haveli: IMR = 11
- Goa: IMR = 08
- Karnataka: IMR = 21
- Kerala: IMR = 06
- Tamil Nadu: IMR = 15
### Step 2: Sum of IMR Values
Calculate the total IMR value for all regions:
[tex]\[ \text{Total IMR} = 29 + 11 + 8 + 21 + 6 + 15 = 90 \][/tex]
### Step 3: Calculate the Angle for Each Segment
Since a pie chart is a circle divided into 360 degrees, each region's angle can be calculated as follows:
[tex]\[ \text{Angle} = \left(\frac{\text{IMR}}{\text{Total IMR}}\right) \times 360 \][/tex]
Let's calculate the angles for each region:
- Andhra Pradesh:
[tex]\[ \left(\frac{29}{90}\right) \times 360 \approx 116^\circ \][/tex]
- D & N Haveli:
[tex]\[ \left(\frac{11}{90}\right) \times 360 \approx 44^\circ \][/tex]
- Goa:
[tex]\[ \left(\frac{8}{90}\right) \times 360 \approx 32^\circ \][/tex]
- Karnataka:
[tex]\[ \left(\frac{21}{90}\right) \times 360 \approx 84^\circ \][/tex]
- Kerala:
[tex]\[ \left(\frac{6}{90}\right) \times 360 \approx 24^\circ \][/tex]
- Tamil Nadu:
[tex]\[ \left(\frac{15}{90}\right) \times 360 \approx 60^\circ \][/tex]
### Step 4: Create a Pie Chart
Now we can visualize this into a pie diagram.
1. Draw a circle.
2. Divide the circle into segments based on the angles calculated:
- Andhra Pradesh: 116 degrees
- D & N Haveli: 44 degrees
- Goa: 32 degrees
- Karnataka: 84 degrees
- Kerala: 24 degrees
- Tamil Nadu: 60 degrees
3. Label each segment with the respective region's name and its percentage of the total IMR.
### Step 5: Label Percentages
Convert the angle into percentages for better visualization:
[tex]\[ \text{Percentage} = \left(\frac{\text{IMR}}{\text{Total IMR}}\right) \times 100 \][/tex]
Percentage for each region:
- Andhra Pradesh:
[tex]\[ \left(\frac{29}{90}\right) \times 100 \approx 32.2\% \][/tex]
- D & N Haveli:
[tex]\[ \left(\frac{11}{90}\right) \times 100 \approx 12.2\% \][/tex]
- Goa:
[tex]\[ \left(\frac{8}{90}\right) \times 100 \approx 8.9\% \][/tex]
- Karnataka:
[tex]\[ \left(\frac{21}{90}\right) \times 100 \approx 23.3\% \][/tex]
- Kerala:
[tex]\[ \left(\frac{6}{90}\right) \times 100 \approx 6.7\% \][/tex]
- Tamil Nadu:
[tex]\[ \left(\frac{15}{90}\right) \times 100 \approx 16.7\% \][/tex]
By following these steps, you should have a clear and accurate pie diagram representing the infant mortality rates in the given regions for 2019. Ensure each segment is color-coded and labeled appropriately with the region name and percentage value for clarity.
### Step 1: Understand the Data
We have the following data:
- Andhra Pradesh: IMR = 29
- D & N Haveli: IMR = 11
- Goa: IMR = 08
- Karnataka: IMR = 21
- Kerala: IMR = 06
- Tamil Nadu: IMR = 15
### Step 2: Sum of IMR Values
Calculate the total IMR value for all regions:
[tex]\[ \text{Total IMR} = 29 + 11 + 8 + 21 + 6 + 15 = 90 \][/tex]
### Step 3: Calculate the Angle for Each Segment
Since a pie chart is a circle divided into 360 degrees, each region's angle can be calculated as follows:
[tex]\[ \text{Angle} = \left(\frac{\text{IMR}}{\text{Total IMR}}\right) \times 360 \][/tex]
Let's calculate the angles for each region:
- Andhra Pradesh:
[tex]\[ \left(\frac{29}{90}\right) \times 360 \approx 116^\circ \][/tex]
- D & N Haveli:
[tex]\[ \left(\frac{11}{90}\right) \times 360 \approx 44^\circ \][/tex]
- Goa:
[tex]\[ \left(\frac{8}{90}\right) \times 360 \approx 32^\circ \][/tex]
- Karnataka:
[tex]\[ \left(\frac{21}{90}\right) \times 360 \approx 84^\circ \][/tex]
- Kerala:
[tex]\[ \left(\frac{6}{90}\right) \times 360 \approx 24^\circ \][/tex]
- Tamil Nadu:
[tex]\[ \left(\frac{15}{90}\right) \times 360 \approx 60^\circ \][/tex]
### Step 4: Create a Pie Chart
Now we can visualize this into a pie diagram.
1. Draw a circle.
2. Divide the circle into segments based on the angles calculated:
- Andhra Pradesh: 116 degrees
- D & N Haveli: 44 degrees
- Goa: 32 degrees
- Karnataka: 84 degrees
- Kerala: 24 degrees
- Tamil Nadu: 60 degrees
3. Label each segment with the respective region's name and its percentage of the total IMR.
### Step 5: Label Percentages
Convert the angle into percentages for better visualization:
[tex]\[ \text{Percentage} = \left(\frac{\text{IMR}}{\text{Total IMR}}\right) \times 100 \][/tex]
Percentage for each region:
- Andhra Pradesh:
[tex]\[ \left(\frac{29}{90}\right) \times 100 \approx 32.2\% \][/tex]
- D & N Haveli:
[tex]\[ \left(\frac{11}{90}\right) \times 100 \approx 12.2\% \][/tex]
- Goa:
[tex]\[ \left(\frac{8}{90}\right) \times 100 \approx 8.9\% \][/tex]
- Karnataka:
[tex]\[ \left(\frac{21}{90}\right) \times 100 \approx 23.3\% \][/tex]
- Kerala:
[tex]\[ \left(\frac{6}{90}\right) \times 100 \approx 6.7\% \][/tex]
- Tamil Nadu:
[tex]\[ \left(\frac{15}{90}\right) \times 100 \approx 16.7\% \][/tex]
By following these steps, you should have a clear and accurate pie diagram representing the infant mortality rates in the given regions for 2019. Ensure each segment is color-coded and labeled appropriately with the region name and percentage value for clarity.
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.
