In a histogram, used to give a graphical display of a distribution of sample data, what does the Y axis represent?

Question

BlackTom AI · Accepted Answer

This question asks about what the Y axis in a histogram typically represents when displaying a distribution of sample data.
In a standard histogram, the bars’ heights correspond to how often data values occur within each bin, which is the concept of frequency or count of observations falling into that interval.
Note that some histograms may normalize the Y axis differently: they can show relative frequency (proportion or percent of total observations) or probability density (especially when bins have unequal widths or when the area under the histogram is scaled to 1). Those variants change the interpretation of the Y values, but in the common, unnormalized form, the height reflects the frequency of observed values within each bin.
Because there are no answer options provided in the list, we rely on the conventional interpretation: the Y axis represents how many observations fall into each histogram bin, i.e., the frequency of observed values. This aligns with the typical purpose of a histogram: to display the distribution by counting occurrences across intervals.
Keep in mind that when you encounter a histogram labeled with relative frequencies or densities, you’re looking at a normalized version where the scale reflects proportions or density rather than raw counts.

PSYC20007_2025_SM2 Goals of Statistical Testing I

In a histogram, used to give a graphical display of a distribution of sample data, what does the Y axis represent?

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