The correct box plot representation of the given data is option C, where the box represents the IQR, the line represents the median, and the dot represents an outlier.
To determine which box plot represents the given data, let's first understand how to create a box plot and then analyze the data provided.
A box plot, also known as a box-and-whisker plot, displays the distribution of a dataset. It provides a visual representation of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values. Additionally, it may include outliers.
Now, let's analyze the given data: 33, 45, 5, 50, 27, 17, 35, 34, 13, 7, 21, 48.
1. Arrange the data in ascending order:
5, 7, 13, 17, 21, 27, 33, 34, 35, 45, 48, 50.
2. Find the minimum and maximum values:
Minimum: 5
Maximum: 50
3. Calculate the quartiles:
Q1: The median of the lower half of the data: 13 + 17 = 15
Q2 (median): The middle value of the dataset: 27
Q3: The median of the upper half of the data: 34 + 35 = 34.5
Based on this analysis, the correct box plot representation of the data is option C:
0 5 10 15 20 25 30 35 40 45 50
In this box plot, the box represents the interquartile range (IQR), which spans from Q1 to Q3. The line within the box represents the median (Q2). The dot represents an outlier, which is the value 50.
The correct box plot representation of the given data is option C.