To create the box plot, we need to find the minimum, first quartile, median, third quartile, and maximum values of the dataset.
The given dataset is: 51, 52, 53, 54, 55, 56, 57, 58.
Step 1: Arrange the data in ascending order:
51, 52, 53, 54, 55, 56, 57, 58
Step 2: Find the minimum value (smallest value):
Minimum = 51
Step 3: Find the first quartile (25th percentile):
There are 8 data points in total, so the first quartile is the median of the lower half of the data. Since there is an even number of data points, we have to take the average of the middle two values.
First quartile = (52 + 53) / 2 = 52.5
Step 4: Find the median (second quartile, 50th percentile):
There are 8 data points, so the median is the value in the middle position.
Median = 54
Step 5: Find the third quartile (75th percentile):
The third quartile is the median of the upper half of the data. Since there is an even number of data points, we have to take the average of the middle two values.
Third quartile = (56 + 57) / 2 = 56.5
Step 6: Find the maximum value (largest value):
Maximum = 58
Now, we can complete the box plot using these values:
Minimum: 51
First quartile: 52.5
Median: 54
Third quartile: 56.5
Maximum: 58
Enter the values to complete the box plot of dataset 51, 52, 53, 54, 55, 56, 57, 58. (2 points)
1 answer