To find the median (miðgildi) of the scores (einkunnanna) shown in the histogram, we need to determine the middle value in the sorted data set.

Let's analyze the histogram:

1. Einkunn (Score) Distribution:

   • 1: 2 students
   • 2: 4 students
   • 3: 6 students
   • 4: 7 students
   • 5: 11 students
   • 6: 10 students
   • 7: 8 students
   • 8: 7 students
   • 9: 3 students
   • 10: 1 student

2. Total Number of Students (Fjöldi): $2 + 4 + 6 + 7 + 11 + 10 + 8 + 7 + 3 + 1 = 59$

3. Finding the Median:

   • The median is the middle value of an ordered data set.
   • For 59 data points, the median is at position $\frac{59 + 1}{2} = 30$.

Now, let's count up to the 30th score:

• Scores from 1 to 4 cover 2 + 4 + 6 + 7 = 19 students.
• Adding the students with a score of 5 gives 19 + 11 = 30 students.

Since the 30th score falls within the "5" category:

The median score (miðgildi) is 5.

Would you like more details or have any questions?

Related Questions:

1. How would the median change if a few scores were added or removed?
2. What is the mean (average) score for this distribution?
3. How can we calculate the mode of the scores from the histogram?
4. What is the range of the scores?
5. How would the shape of the histogram change if the score distribution was different?

Tip:

To understand the distribution of data, always look at measures of central tendency (mean, median, mode) and dispersion (range, variance, standard deviation).