Answer :
To find the percent abundance of pre-1982 pennies in the data sample above, let's proceed through the problem step-by-step:
1. Count the number of pre-1982 pennies:
- According to the table, the number of pre-1982 pennies is 8.
2. Count the number of post-1982 pennies:
- According to the table, the number of post-1982 pennies is 12.
3. Determine the total number of pennies in the data sample:
- The total number of pennies is the sum of pre-1982 and post-1982 pennies.
- So, the total number of pennies [tex]\( = 8 + 12 = 20 \)[/tex].
4. Calculate the percent abundance of pre-1982 pennies:
- The formula to find percent abundance is:
[tex]\[ \text{Percent Abundance} = \left( \frac{\text{Number of specific type of pennies}}{\text{Total number of pennies}} \right) \times 100 \][/tex]
- Substitute the values into the formula:
[tex]\[ \text{Percent Abundance of pre-1982 pennies} = \left( \frac{8}{20} \right) \times 100 \][/tex]
5. Simplify the fraction and calculate the result:
- [tex]\(\frac{8}{20} = 0.4\)[/tex]
- Therefore,
[tex]\[ 0.4 \times 100 = 40.0 \][/tex]
So, the percent abundance of pre-1982 pennies in the data sample is 40.0%.
1. Count the number of pre-1982 pennies:
- According to the table, the number of pre-1982 pennies is 8.
2. Count the number of post-1982 pennies:
- According to the table, the number of post-1982 pennies is 12.
3. Determine the total number of pennies in the data sample:
- The total number of pennies is the sum of pre-1982 and post-1982 pennies.
- So, the total number of pennies [tex]\( = 8 + 12 = 20 \)[/tex].
4. Calculate the percent abundance of pre-1982 pennies:
- The formula to find percent abundance is:
[tex]\[ \text{Percent Abundance} = \left( \frac{\text{Number of specific type of pennies}}{\text{Total number of pennies}} \right) \times 100 \][/tex]
- Substitute the values into the formula:
[tex]\[ \text{Percent Abundance of pre-1982 pennies} = \left( \frac{8}{20} \right) \times 100 \][/tex]
5. Simplify the fraction and calculate the result:
- [tex]\(\frac{8}{20} = 0.4\)[/tex]
- Therefore,
[tex]\[ 0.4 \times 100 = 40.0 \][/tex]
So, the percent abundance of pre-1982 pennies in the data sample is 40.0%.