First, let's order the given data set of times in seconds:
Ordered Data Set:
7, 8, 8, 10, 11, 12, 13, 13, 29
Now, let's find the median. The median is the middle value of an ordered data set. Since there are nine values (an odd number), the median will be the 5th value in the ordered list.
Median: 11 (circled)
A) About what part of the values in a data set are BELOW the median? How do you know this?
In the ordered list, the values that are below the median (11) are:
7, 8, 8, 10
There are 4 values below the median.
To find the fraction of values below the median:
- Total number of values = 9
- Values below the median = 4
Thus, the part of the values that are below the median is: \[ \frac{4}{9} \approx 0.44 ; \text{or} ; 44% \]
B) About what percent of values in a data set are ABOVE the median? How do you know this?
In the ordered list, the values that are above the median (11) are:
12, 13, 13, 29
There are 4 values above the median.
To find the fraction of values above the median:
- Total number of values = 9
- Values above the median = 4
Thus, the part of the values that are above the median is: \[ \frac{4}{9} \approx 0.44 ; \text{or} ; 44% \]
Summary:
- About 44% of the values are below the median (11).
- About 44% of the values are above the median (11).
In this data set, since there are 9 values, and one value is the median, the remaining values are equally split into those below and above the median.