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Sagot :
Answer:
Statement about the Box Plot
Step-by-step explanation:
To determine the correct statement about the box plot for the given data, we need to calculate some key statistics and understand the distribution of the data:
Data Set:
25,27,28,26,25,27,25,27,26,28,29
25,27,28,26,25,27,25,27,26,28,29
Organize the Data in Ascending Order:
25,25,25,26,26,27,27,27,28,28,29
25,25,25,26,26,27,27,27,28,28,29
Calculate Key Statistics:
Minimum: 25
First Quartile (Q1): The 25th percentile, which is the median of the lower half of the data (excluding the median if odd number of data points). Here, the lower half is 25,25,25,26,262, so Q1=25.
Median (Q2): The middle value of the data. Here, with 11 data points, the median is the 6th value, which is 27.
Third Quartile (Q3): The 75th percentile, which is the median of the upper half of the data. The upper half is 27,28,28,29, so Q3=28.
Maximum: 29
Interquartile Range (IQR):
IQR=Q3−Q1=28−25=3
Box Plot Construction:
Lower Whisker: Extends from the minimum value (25) to Q1 (25).
Box: Extends from Q1 (25) to Q3 (28).
Median Line: Inside the box at 27.
Upper Whisker: Extends from Q3 (28) to the maximum value (29).
Correct Statement:
The box plot will have the lower whisker at 25, the lower edge of the box at 25, the median line at 27, the upper edge of the box at 28, and the upper whisker at 29. The box will cover the range from 25 to 28, and the whiskers will extend from 25 to 29.
In summary, the box plot for this data will show a box extending from 25 to 28, with a median line at 27. The whiskers will extend from 25 to 29, showing the spread of the data and indicating that the data is fairly evenly distributed within the range.
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