Question 6 <> Find the 64th percentile, P64, from the following data 3 8 11 13 15 23 26 32 35 36 39 49 53 58 63 66 70 73 74 76 77 78 87 93 95 P64 = %3D 6

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## Question 6

**Task:** Find the 64th percentile, \( P_{64} \), from the following data set.

### Data:

```
3,  6,  8,  9,  11
13, 15, 23, 26, 32
35, 36, 39, 49, 53
58, 63, 66, 70, 73
74, 76, 77, 78, 87
93, 95
```

**Answer Field:**

\[ P_{64} = \]

*[Submit Question]*

**Instructions for Calculation:**

1. **Sort the Data:** Ensure the data is in numerical order (which is already provided).
2. **Determine Position:** Use the formula for percentiles: 
   \[
   \text{Position} = \frac{N+1}{100} \times 64
   \]
   where \( N \) is the total number of values in the data set.
3. **Find the Percentile:** Once you compute the position, identify the number in that position. If the position is not a whole number, interpolate between the numbers around it.
Transcribed Image Text:## Question 6 **Task:** Find the 64th percentile, \( P_{64} \), from the following data set. ### Data: ``` 3, 6, 8, 9, 11 13, 15, 23, 26, 32 35, 36, 39, 49, 53 58, 63, 66, 70, 73 74, 76, 77, 78, 87 93, 95 ``` **Answer Field:** \[ P_{64} = \] *[Submit Question]* **Instructions for Calculation:** 1. **Sort the Data:** Ensure the data is in numerical order (which is already provided). 2. **Determine Position:** Use the formula for percentiles: \[ \text{Position} = \frac{N+1}{100} \times 64 \] where \( N \) is the total number of values in the data set. 3. **Find the Percentile:** Once you compute the position, identify the number in that position. If the position is not a whole number, interpolate between the numbers around it.
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