First, let's arrange the provided times in ascending order:
Ordered data set: 7, 8, 8, 10, 11, 12, 13, 13, 29
Next, we need to find the median. The median is the middle number in a sorted list. Since we have 9 values (an odd number), the median is the 5th number in this ordered list.
Median:
- The 5th value is 11.
Now, to circle the median, you can visualize it as follows:
- Ordered data set: 7, 8, 8, 10, 11, 12, 13, 13, 29
a. About what part of the values in a data set are BELOW the median?
To find the part of the values that are below the median:
- Values below 11: 7, 8, 8, 10
- There are 4 values below the median (11).
Since there are a total of 9 values in the data set, the part that is below the median is: \[ \frac{4}{9} \approx 0.444 \text{ or } 44.4% \]
b. About what percent of values in a data set are ABOVE the median?
Now, to determine the values above the median:
- Values above 11: 12, 13, 13, 29
- There are 4 values above the median (11).
Similarly, the part that is above the median is: \[ \frac{4}{9} \approx 0.444 \text{ or } 44.4% \]
Summary:
- Median: 11
- Approximately 44.4% of the values are below the median.
- Approximately 44.4% of the values are above the median.
Finally, in the case of a data set with an odd number of observations:
- There is always exactly one median with equal numbers of values on either side (in this case, 4 values below and 4 values above).