Identify the minimum, first quartile, median, third quartile, and maximum of the data setThen make a boxandplot of the data sizes (megabytes) 168,247 76, 153,119, 57, 239 The minimum is
57
The first quartile is 76
The median is 153
The third quartile is 168
The maximum is 239
Box and whisker plot:
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57 | | | |
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76 | | | |
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119 | | | |
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168 | | | |
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247 | | | |
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To find the minimum, first quartile, median, third quartile, and maximum of the given data set (168, 247, 76, 153, 119, 57, 239), we need to arrange the data in ascending order:
57, 76, 119, 153, 168, 239, 247
Now we can calculate the quartiles:
Minimum: 57
First Quartile (Q1): The median of the lower half of the data set.
Q1 = (76 + 119) / 2 = 97.5
Median (Q2): The middle value of the data set.
Q2 = 153
Third Quartile (Q3): The median of the upper half of the data set.
Q3 = (168 + 239) / 2 = 203.5
Maximum: 247
Now let's create a box-and-whisker plot:
```
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57 97.5 153 203.5 247
```
In the box-and-whisker plot, the vertical line inside the box represents the median (Q2), while the lower and upper edges of the box represent the first quartile (Q1) and third quartile (Q3), respectively. The lines extending from the box (whiskers) represent the minimum and maximum values.