Population Pyramid Chart Formula: Negated Male Share, Sex Ratio & Age Dependency

Why stacked horizontal bar charts build clean back-to-back Population Pyramids via negated left series!

To plot Male and Female age brackets back-to-back from a shared central zero spine in a 2-series Stacked Horizontal Bar Chart (100% overlap), transform raw counts into total-population percentages where the left-hand series (conventionally Male) is negated: Male_Plot_% = -100 * Male_i / SUM(Male + Female), while Female_Plot_% = +100 * Female_i / SUM(Male + Female) (applying custom number format 0.0%;0.0%;0.0% so negative signs are hidden on axis labels!).

Alongside visual bar lengths, demographers audit each age band’s Sex Ratio SR_i = 100 * (Male_i / Female_i) (which typically starts around 104–106 in youth cohorts and drops below 80 in 65+ cohorts due to female longevity) and the Total Age-Dependency Ratio = 100 * (Pop_{0-14} + Pop_{65+}) / Pop_{15-64}.

Negated Left-Side Male Cohort Share (%) of Total Population

Returns -100 * B2 / (SUM($B$2:$B$4) + SUM($C$2:$C$4)) so horizontal bars extend leftward from the vertical 0% axis.

=IF(OR(MIN(B2:B4) < 0, MIN(C2:C4) < 0, SUM(B2:B4) + SUM(C2:C4) <= 0), "Invalid Cohort Counts", ROUND(-100 * B2 / (SUM(B2:B4) + SUM(C2:C4)), 2))

Cohort Sex Ratio (Males per 100 Females) & Total Age-Dependency Ratio (%)

Computes 100 * (Male_65+ / Female_65+) for row 4, or Total Age-Dependency Ratio 100 * (Youth + Senior) / Working_Age.

=IF(C4 <= 0, "Requires Positive Female Cohort", ROUND(100 * B4 / C4, 2))

Further reading

• Microsoft Support — Present your data in a bar chart