Use the following cell phone airport data speeds (Mbps) from a particular network. Find P10- 0.1 0.1 0.1 0.3 0.3 0.4 0.5 0.5 0.6 0.6 0.6 0.7 0.8 0.8 0.9 0.9 1.3 1.4 1.4 1.5 1.8 2.3 2.4 2.4 2.5 2.6 2.7 3.2 3.4 3.6 3.7 4.5 5.3 6.5 7.5 8.8 9.1 9.4 9.8 11.3 11.6 12.3 13.2 13.4 14.4 14.4 15.3 15.8 15.9 26.1 P10 = Mbps (Type an integer or a decimal. Do not round.)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
#12
![### Example of Finding Percentiles in Data
In this exercise, we are given a dataset representing cell phone airport data speeds (in Mbps) from a particular network. The task is to find the 10th percentile (\(P_{10}\)) of the given data.
Here are the recorded data speeds:
```
0.1, 0.1, 0.1, 0.3, 0.3, 0.4, 0.5, 0.5, 0.6, 0.6,
0.6, 0.7, 0.8, 0.8, 0.9, 0.9, 1.3, 1.4, 1.4, 1.5,
1.8, 2.3, 2.4, 2.4, 2.5, 2.6, 2.7, 3.2, 3.4, 3.6,
3.7, 4.5, 5.3, 6.5, 7.5, 8.8, 9.1, 9.4, 9.8, 11.3,
11.6, 12.3, 13.2, 13.4, 14.4, 14.4, 15.3, 15.8, 15.9, 26.1
```
To find the \(10^{th}\) percentile, follow these steps:
1. **Sort the Data:** Ensure that the given data is in ascending order.
2. **Calculate the Position:** Use the formula for the percentile position:
\[ P_{k} = \left(\frac{k}{100} \times (N + 1)\right) \]
Where \(k\) is the percentile (10 in this case) and \(N\) is the total number of data values.
3. **Locate the Value:** Identify the value that fits the position found in step 2.
**Calculation:**
- First, confirm that the data is already sorted.
- There are 50 data points (\(N = 50\)).
- Calculate the position:
\[ P_{10} = \left(\frac{10}{100} \times (50 + 1)\right) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff73a6e68-3914-455f-b85e-05e86e41a1c6%2F0cd22d62-0458-48f5-abee-46e545cbbdfc%2Fbv6y4r.png&w=3840&q=75)
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