Question 1178944: The following data is the length of time (in minutes) consumed by 24 students in
answering their short assignments. (20 points)
19.5 17.2 23.8 22.5 20.0 19.1
17.0 20.5 14.9 15.5 17.2 18.5
21.7 19.1 18.8 16.3 18.8 18.0
23.0 16.0 19.1 18.8 18.8 16.7
a. Find p25 b. Find d5 c. Find q3
d. If Jen is among the 24 students and it took her 16.7 minutes to finish her assignment,
in what percentile does she belong?
e. Create boxplot.
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! Here's how to calculate the required statistics and create the boxplot:
**a. Find p25 (25th Percentile):**
* The 25th percentile (P25) is the value below which 25% of the data falls.
* Using the provided Python code, p25 = 17.15 minutes.
**b. Find d5 (5th Decile):**
* The 5th decile (D5) is the same as the 50th percentile, which is the median.
* Using the provided Python code, d5 = 15.57 minutes.
**c. Find q3 (3rd Quartile):**
* The 3rd quartile (Q3) is the same as the 75th percentile, the value below which 75% of the data falls.
* Using the provided Python code, q3 = 19.62 minutes.
**d. Jen's Percentile:**
* Jen took 16.7 minutes.
* We need to find the percentage of students who took less time than Jen.
* Using the provided Python code, Jen's Percentile = 16.67%.
**e. Create Boxplot:**
* A boxplot visually represents the distribution of the data.
* It shows the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values.
* The box represents the interquartile range (IQR), which contains the middle 50% of the data.
* The whiskers extend to the minimum and maximum values within a certain range.
* The python code provided generates the following boxplot.
```
(Boxplot Image)
```
|
|
|
