Based on my understandings, I would say for the below histogram that the mode is zero, the mean is between 0 & 1 and the median is 1. I'm I right?


  • 1
    $\begingroup$ It's not a histogram, it's a bar plot. Anyway, I would say all except mean are 0. $\endgroup$ Nov 4, 2021 at 7:10

1 Answer 1

  • As noticed in the comment, this is a bar plot. Histogram would pack the values into bins. For discrete data we don't use histograms in general, maybe unless there is a huge number of categories what would make the bar plot less unreadable.
  • Mode is the most frequent value, so the highest bar.
  • Mean would be the sum of $x$-axis values multiplied by their frequencies, i.e. $y$-axis, i.e. ${\sum_i x_i y_i} \Big/ {\sum_i y_i}$. You could calculate it from the plot with some degree of precision after reading the heights from $y$-axis.
  • Median is the value "in the middle" if you sorted the values. It would be 1 if after stacking the bars things on right would be slightly higher than things on left. The plots have $y$-axis on the logarithmic scale, so again, you would need to read the height of the bars to figure out if $y_0 \approx y_1 + y_2 + y_3$, but you can visually verify that this is not the case, so the median is also zero.
  • $\begingroup$ It would be helpful, I suspect, to indicate that the mean will be approximately $0.001.$ Your remarks about "measure the height of the bars" are puzzling, considering their values are clearly marked on the vertical axis (on a logarithmic scale). $\endgroup$
    – whuber
    Nov 4, 2021 at 11:55
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    $\begingroup$ @whuber I meant that you'd need to use a ruler to make more precise reading of the values. Nonetheless, I improved the wording. $\endgroup$
    – Tim
    Nov 4, 2021 at 12:11

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