QuestionFind the statistical measures and box plot for this data: 6, 9, 10, 11, 12, 13, 14, 14, 15, 16, 16, 16, 18. Min, Q1, Med, Q3, Max: \square.
Studdy Solution
STEP 1
Assumptions1. The given data is a list of numbers.
. The statistical measures we need to find are the minimum, first quartile (Q1), median, third quartile (Q3), and maximum.
3. The box and whiskers plot will be created based on these statistical measures.
STEP 2
First, we need to sort the data in ascending order.
STEP 3
Now, let's find the minimum and maximum values in the data. The minimum value is the smallest number in the data set, and the maximum value is the largest number in the data set.
STEP 4
Next, let's find the median of the data. The median is the middle value when the data is sorted in ascending order. If there is an even number of data points, the median is the average of the two middle numbers.
In this case, the data set has13 points, so the median is the7th value.
STEP 5
Now, let's find the first quartile (Q1). Q1 is the median of the lower half of the data (not including the median if the number of data points is odd). The lower half of the data isSo, Q1 is the median of these values, which is the3rd value.
STEP 6
Finally, let's find the third quartile (Q3). Q3 is the median of the upper half of the data (not including the median if the number of data points is odd). The upper half of the data isSo, Q3 is the median of these values, which is the average of the3rd and4th values.
STEP 7
Now that we have all the statistical measures, we can fill in the blanks
STEP 8
To create the box and whiskers plot, we need to draw a number line and mark the statistical measures we calculated. The box is drawn from Q1 to Q3, with a line inside the box at the median. The whiskers extend from the box to the minimum and maximum values.
The box plot for this data set would look something like this```
610141618 |----|----|----|----|
```
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