To find the median of the data you provided, we will first list the values represented by the counts for each class period. The data points are:
- For 2: 4 girls
- For 3: 5 girls
- For 4: 6 girls
- For 5: 5 girls
- For 6: 5 girls
Now, let's list all the counts in order based on the values from the graphical representation:
- 2 occurs 4 times: \(2, 2, 2, 2\)
- 3 occurs 5 times: \(3, 3, 3, 3, 3\)
- 4 occurs 6 times: \(4, 4, 4, 4, 4, 4\)
- 5 occurs 5 times: \(5, 5, 5, 5, 5\)
- 6 occurs 5 times: \(6, 6, 6, 6, 6\)
Now, combining these values, we have:
\[2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6\]
Next, count the total number of data points:
- There are \(4 + 5 + 6 + 5 + 5 = 25\) girls in total.
For an odd number of data points, the median is the middle value. Since \(25\) is odd, the median will be the value at the \(\frac{25 + 1}{2} = 13\)th position in the ordered list.
Now let's find the 13th value in our ordered list:
- \(2\) (4 values)
- \(3\) (5 values)
- \(4\) (6 values) \( \Rightarrow \) up to the 15th position
Since \(4\) is present in the 10th to 15th positions, the 13th value is \(4\).
Thus, the median of the data is:
Median = 4.