From measurements made by Francis Galton at London's International Health Exhibition in 1884, published in 1885.

sittingHeights

Format

A data frame with 9 rows and 8 variates, the first 5 of which are as recorded by Galton:

lowerBound

Sitting height greater than or equal to this lower bound in inches.

upperBound

Sitting height strictly less than this upper bound in inches.

nCases

Number of cases observed with sitting height between the two bounds.

nCasesCumulative

Number of cases observed with sitting height up to but not including the upper bound.

percentCumulative

Cumulative number of cases expressed as a percent.

binCentre

Average of the lower and upper bounds.

nCasesCentred

Number of cases assigned to the binCentre; half of cases observed with sitting height between the two bounds is assigned to be below the binCentre, half above (avoids producing 100 percent for last entry).

proportionCumulativeAdjusted

Cumulative proportions using nCasesCentred.

Source

"The Application of a Graphic Method to Fallible Measures", Francis Galton, (1885), Journal of the Statistical Society of London, Jubilee Volume (June 22-24, 1885), pp. 262-265.

Details

with(sittingHeights, plot(percentCumulative,upperBound, type="o", lwd=2, xlim=c(0,100), ylim=c(20,40),xlab="Percentage of women", ylab="Sitting heights in inches")) will effect Galton's Ogive.

with(sittingHeights, qqtest(binCentre, dist="normal", p = proportionCumulativeAdjusted, np=775, main="Sitting heights of women in inches")) will effect a normal qqplot for this data.