Question

The graph below represents the result of a survey in which a number of students reported how many letters were in their last names.

Answer 1

I can help — but I don’t see the graph. Could you either upload the image or type the data (the number of letters and the frequency for each)?

If you want to do the analysis yourself, here are quick, precise steps for the common questions (mean, median, mode, range, relative frequencies):

1. Read the data from the graph as pairs (x, f), where x = number of letters and f = frequency (number of students with that many letters).

2. Total number of students:
n = Σ f

3. Mean (average number of letters):
mean = (Σ x·f) / n
- Multiply each x by its frequency, sum those products, then divide by n.

4. Median (middle value):
- Compute cumulative frequencies until you reach the middle position.
- If n is odd, median is the x where cumulative frequency ≥ (n+1)/2.
- If n is even, median is usually taken as the average of the two middle observations; for grouped discrete categories you can take the smallest x where cumulative frequency ≥ n/2 (or average the two adjacent x’s if you want the standard even-n median).

5. Mode:
- The mode is the x with the largest frequency (the tallest bar).

6. Range:
- range = max(x) − min(x)

7. Relative frequency (percent for each x):
- rel_freq(x) = f / n (or multiply by 100 for percent).

If you post the bar heights (frequencies) or the picture, I’ll compute mean, median, mode, range, and relative frequencies for you.