Answer :
Approximately 66.67% of the data is greater than 69.
1. Total number of data points:
There are 27 data points in the list.
2. Count of data points greater than 69:
Let's count the number of values greater than 69.
Values greater than 69: 72, 75, 76, 76, 71, 84, 76, 72, 76, 73, 76, 76, 76, 77, 75, 80, 80, 79
There are 18 data points greater than 69.
3. Calculate the percentage:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of values greater than 69}}{\text{Total number of values}} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage} = \left( \frac{18}{27} \right) \times 100 \approx 66.67\% \][/tex]
Complete question given below:
69 72 75 76 76 69 69 71 84 66 76 72 49 45 58 76 73 76 76 76 77 66 68 75 80 80 79, what percentage of the data is greater than 69
Approximately 66.67% of the numbers in the sequence are greater than 69.
To find the percentage of numbers greater than 69 in the given sequence, follow these steps:
- 1. Count the total number of values in the sequence.
- 2. Count the number of values that are greater than 69.
- 3. Divide the number of values greater than 69 by the total number of values.
- 4. Multiply the result by 100 to get the percentage.
Step 1: Count the total number of values.
- There are 27 values in the sequence.
Step 2: Count the number of values greater than 69.
- The values greater than 69 are: 72, 75, 76, 76, 71, 84, 76, 72, 76, 73, 76, 76, 76, 77, 75, 80, 80, 79
- There are 18 values greater than 69.
Step 3: Divide the number of values greater than 69 by the total number of values.
- [tex]\[ \frac{18}{27} = \frac{2}{3} \approx 0.6667 \][/tex]
Step 4: Multiply the result by 100 to get the percentage.
- [tex]\[ 0.6667 \times 100 \approx 66.67\% \][/tex]
Full Question
Given the sequence of numbers 69, 72, 75, 76, 76, 69, 69, 71, 84, 66, 76, 72, 49, 45, 58, 76, 73, 76, 76, 76, 77, 66, 68, 75, 80, 80, 79, what percentage of these numbers are greater than 69?