# Relationship between handspan and height

### Website Temporarily Unavailable

This exercise illustrates the difference between bar graphs and scatter plots and walks students through the process of representing data they. ABSTRACT. Objective: To find out the correlation between hand size and height, as well as to formulate a regression equation for predicting. Graphing Hand Span and Height there are different types of graphs which can help you understand relationships between variables or compare averages.

Get them to plot some samples manually on their own number plane as this will give them a better idea of how the computer generates scales for the axes. Develop scatterplots for each of the following: Discuss the appearance of the graphs. Are there any apparent patterns or relationships? What relationships are you identifying? Which hand measure is the best predictor of height? You may like to discuss the amount of variance and the range within which the relationships fall.

This gives an opportunity to discuss lines of best fit and apply them to constructing the giant. Explore whether the prediction will be different if you know that the giant is young or old, male or female.

Excel allows you to sort the data in ascending or descending order and draw a scatterplot of only the junior children, or males, etc. Session 3 In this session we create a silhouette of the giant.

## Graphing Hand Span and Height

Discuss possible relationships between other body parts. Determine a list of body parts to be measured. Will the giant be 2-dimensional or 3-dimensional? Can we use a simple length measurement to predict the size of other parts of the giant? Record measurements on a spreadsheet.

**Measuring lengths of objects using foot spans - Class 1 Maths (az-links.info)**

Use scattergraphs to investigate relationships between measurements to determine the size and proportion of the giant. Make a 2-dimensional silhouette of the giant using newspaper or butcher's paper.

Look up the Guinness Book of Records to compare your giant with the tallest known man and woman. Session 4 In this session we discuss the accuracy of our findings. How accurate is your information? Using a hand print only of a known person can you predict their other measurements? Check this How accurate were your predictions?

### Graphing Hand Span and Height

Discuss how a small change in the length of hand measurement makes a big difference to the predicted height. For several people use the relationship you have established for hand length and height.

Measure their hand lengths in both centimetres and millimetres and use both measurements to predict their height. Does the accuracy of the hand length measure give a better prediction of height?

If we used thumb length as the predictor for height would it be more or less accurate than hand length? Get the students to investigate these questions in small groups and report back their results.

Session 5 In this session students are challenged to investigate other things we might be able to find out about the giant from his hand print. Students will have many ideas about this such as: How many steps will the giant take to walk from your house to school? How much would the giant eat each day? Results have also been compared with previous studies of pianists and non-pianists.

Two hand span measures were collected - thumb to fifth finger and second to fifth finger active spans maximum flat hand stretch for both hands. Gender differences The chart below illustrates the marked gender difference in spans of approximately one inch 2.

From this study, the mean span for males is 8. The taller peak on the left reflects the higher proportion of female pianists in the sample; the male to female ratio is about 2: The tables underneath provide some basic summary measures for both and spans. The gender difference of approximately 0. Adult pianists - gender differences in thumb to fifth finger spans Ethnic differences This is the first known study to analyse ethnic differences in pianists' hand spans.

Out of the pianists in the Australian study, were categorised as being of either Asian or Caucasian origin; the remaining 17 of mixed or other descent were omitted from this analysis.

The tables below summarise the results for spans. Based on this survey, Caucasian male spans are 0. Analysis of spans shows no statistically significant ethnic difference for males nor for females.

It is worth noting that based on this study, this ethnic difference in spans approximately one quarter of an inch is much less than the overall gender difference of one inch. When Caucasians and Asians are analysed separately, the same gender difference is apparent. All span ethnic differences are statistically significant. Hand span versus 'level of acclaim' Pianists in the Australian survey were classified according to 'level of acclaim' based on their success as a performer.

As well as highlighting the gender difference, it shows those pianists of 'International' and 'National' acclaim. It indicates that all the 'Internationals' had spans of 8. This table summarises the hand spans of these three 'level of acclaim' groups. Significant differences are also apparent when looking at spans.

Looking at gender differences, the chart below compares the relative proportions of males and females in each of the three 'level of acclaim' groups. As can be seen from the graph, their hand spans covered a wide range, from 5.

Predictably, the older children tended to have bigger spans. This small sample also indicates another pattern one would expect, that is, increasing variability in hand spans as one moves up the age levels. Hand spans for each age group would most likely be approximately normally distributed if separated into girls and boys. Previous studies Hand size varies greatly among the human population. Yoshimura and Chesky report that the difference between the smallest and largest hand spans of nearly musicians at the University of North Texas is 4 inches 11 cm — close to the width of five piano keys!

A mix of left and right hands were measured. The gender difference is again obvious.

### Illustrative Mathematics

The pianists' ethnic background was not recorded but is known to be mixed. Comparing earlier pianist hand span data Wagner, and the Steinbuhler data, the results are broadly consistent with the Australian study described above. Note that the Wagner data is based on measurements from the centres of the fingertips rather than the outside edges, however this difference in measurement process is expected to affect span not shown here more than span measurements.

Table 1 summarises the differences between males and females for these two data sets. Wagner also compared two groups of male pianists from his database: The difference in their hand spans - 9. The spans for the successful group were also significantly larger. GarrettGreinerDonelson and Gordon or from industrial workers: