var1
0.2
0.25
0.33
0.47
0.61
0.62
0.64
0.66
0.75
0.86
0.9
0.9
0.91
0.92
0.93
0.99
1.01
1.01
1.06
1.08
1.1
1.1
1.14
1.14
1.15
1.15
1.15
1.16
1.17
1.17
1.17
1.2
1.23
1.25
1.25
1.28
1.29
1.29
1.3
1.31
1.33
1.39
1.44
1.44
1.5
1.5
1.51
1.52
1.53
1.56 Use the accompanying radiation levels left parenthesis in StartFraction Upper W Over kg EndFraction right parenthesis
 for 50 different cell phones. Find the percentile corresponding to 1.51 StartFraction Upper W Over kg EndFraction
.
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Part 1
The percentile corresponding to 1.51 StartFraction Upper W Over kg EndFraction
 is 
  
enter your response here. 
​(Round to the nearest whole number as​ needed.) 

To find the percentile corresponding to the value 1.51 in the data set, we will follow these steps:

### Step-by-Step Solution:

1. **Sort the Data**: The data provided is already in ascending order.

2. **Determine Position of 1.51**: We need to locate the position of the value 1.51 in the sorted list. The sorted list is:
   
   ```
   0.2, 0.25, 0.33, 0.47, 0.61, 0.62, 0.64, 0.66, 0.75, 0.86, 0.9, 0.9, 0.91, 0.92, 0.93, 0.99,
   1.01, 1.01, 1.06, 1.08, 1.1, 1.1, 1.14, 1.14, 1.15, 1.15, 1.15, 1.16, 1.17, 1.17, 1.17, 1.2, 
   1.23, 1.25, 1.25, 1.28, 1.29, 1.29, 1.3, 1.31, 1.33, 1.39, 1.44, 1.44, 1.5, 1.5, 1.51, 1.52, 
   1.53, 1.56
   ```

   The value 1.51 is the 46th value in the sorted list.

3. **Percentile Calculation**: The formula to calculate the percentile is:

   \[
   \text{Percentile} = \frac{\text{Number of values below the given value}}{\text{Total number of values}} \times 100
   \]

   In this case, there are 45 values below 1.51, and there are 50 values in total. Substituting into the formula:

   \[
   \text{Percentile} = \frac{45}{50} \times 100 = 90
   \]

### Conclusion:
The percentile corresponding to a radiation level of 1.51 W/kg is **90th percentile**.

Would you like further details or have any other questions?

---

**Related Questions:**

1. How is the percentile value used in statistical analysis?
2. What are the implications of being in the 90th percentile in this context?
3. Can we calculate the percentile for other values in the dataset?
4. What is the difference between percentile and percentage?
5. How would outliers affect percentile calculations?

**Tip**: When calculating percentiles, ensure that the data is sorted in ascending order.

Use the accompanying radiation levels (in W/kg) for 50 different cell phones. Find the percentile corresponding to 1.51 W/kg.

This tutorial explains how to find the percentile corresponding to 1.51 W/kg in a dataset of radiation levels for 50 cell phones. Learn to sort data, apply the percentile formula, and calculate the 90th percentile step-by-step. Suitable for students in Grades 9-12.

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