Box Plots Practice
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Question
Enter the values to complete the box plot of dataset 32, 34, 36, 38, 40, 42, 44, 46, 48. (2 points)
32 and 40 and 48 was right but 36 and 44 was not please give me a correct answer
Apologies for the incorrect values. Here is the correct answer:
Minimum: 32
First Quartile: 35
Median: 40
Third Quartile: 44
Maximum: 48
please give me the correct answer 32 and 35 and 40 and 48 was right but 44 was not
Apologies again for the incorrect value. Here is the correct answer:
Minimum: 32
First Quartile: 35
Median: 40
Third Quartile: 42
Maximum: 48
Bruh 42 is not right
To create a box plot, we need to find the five-number summary of the dataset, which includes the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.
Step 1: Sort the data in ascending order:
32, 34, 36, 38, 40, 42, 44, 46, 48
Step 2: Find the minimum and maximum values:
Minimum: 32
Maximum: 48
Step 3: Find the median:
Since we have an odd number of data points, the median will be the middle value, which is 40.
Step 4: Find the first quartile (Q1):
The first quartile is the median of the lower half of the data. In this case, it is the median of the values below 40: 32, 34, 36. Since we have an odd number of data points, the first quartile will be the middle value, which is 34.
Step 5: Find the third quartile (Q3):
The third quartile is the median of the upper half of the data. In this case, it is the median of the values above 40: 42, 44, 46, 48. Since we have an odd number of data points, the third quartile will be the middle value, which is 44.
Now that we have the minimum, maximum, median, first quartile, and third quartile, we can create the box plot.
A box plot consists of a line segment (box) that represents the interquartile range (IQR), "whiskers" that extend from the box to the minimum and maximum values, and possibly "outliers," which are individual data points that are significantly lower or higher than the rest of the data.
Here is the completed box plot for the given dataset:
| |
---|--------|------
32 | 34 | 36 38 40 | 42 44 | 46 48
The values to complete the box plot of the given dataset are:
Minimum: 32
First Quartile: 36
Median: 40
Third Quartile: 44
Maximum: 48