Grateful acknowledgement is made to the following sources for permission to reproduce material in this unit:

The content is taken from an activity written by Marion Hall for students taking courses in Health and Social Care, in particular those studying K101 An Introduction to Health and Social Care. The original activity is one of a set of skills activities made available to all HSC students via the HSC Resource Bank.

If the numbers you want to divide are too large for you to do the calculation in your head, you can use a calculator. Alternatively, you can do the calculation on paper. In the example below, click on each step in turn to see how to divide 126 by 6.

## Boxplots of family sizes

The table below contains data on the sizes (numbers of children) of the completed families of two samples of mothers in Ontario. One sample of mothers had had fewer years of education than the other sample (si

In this unit, you have been introduced to a number of ways of representing data graphically and of summarizing data numerically. We began by looking at some data sets and considering informally the kinds of questions they might be used to answer.

An important first stage in any assessment of a collection of data, preceding any numerical analysis, is to represent the data, if possible, in some informative diagrammatic way. Useful graphical representations that you have met in this unit i

In this subsection we consider, briefly, some problems that can arise with certain ways of drawing bar charts and pie charts.

Figure 5 shows what is essentially the same bar chart as Author(s):

The data set in Table 2 comprises the figures published by the US Labor Department for the composition of its workforce in 1986. It shows the average numbers over the year of male and female workers in the various different employment categories and is typical of the kind of data publ

In several different parts of the world, footprints from prehistoric human civilisations have been found preserved in either sand or volcanic ash. From these tracks it is possible to measure the foot length and the length of the stride. These measurements can be used to estimate both the height of the person who made the footprint and also whether the person was walking or running by using the following three formulas:

One of the advantages of identifying the general features of a calculation and then describing it mathematically is that the formula can then be used in either a computer or a calculator program to work out many different calculations quickly and efficiently. Many utility suppliers (gas, water, electricity, telephone) have tariffs based on a fixed daily (or monthly or quarterly) charge and a further charge based on how much you have used during the billing period.

For example in 2005, a

An *ellipse* with eccentricity *e* (where 0 < *e* < 1) is the set of points *P* in the plane whose distances from a fixed point *F* are *e* times their distances from a fixed line *d*. We obtain such an ellipse *in standard form* if

the focus

*F*lies on the*x*-axis, and has coordinates (*ae*, 0), where*a*> 0;the directrix

*d*is the line with equation*x*Â =Â*a*

*3.3 Equation of a plane in three-dimensional Euclidean space *

*We stated in Section 1.7 that the general form of the equation of a plane in ^{3} is*

*Author(s):*

*3.1 Definition, properties and some applications *

*In the previous section we saw how to add two vectors and how to multiply a vector by a scalar, but we did not consider how to multiply two vectors. There are two different ways in which we can multiply two vectors, known as the dot product (or scalar product) and the vector product. They are given these names because the result of the first is a scalar and the result of the second is a vector. (We shall not consider vector products in this course.)*

*In the audio sec*

*In this section we introduce an alternative way of describing points in the plane ^{2} or in three-dimensional space ^{3}; *

*3.4 Decreasing by a percentage *

*Discount can be calculated in the same way as an increase by a percentage. For example, Â£8 with 15% discount means you actually pay*

*Â Â Â£8 less (15% of Â£8)*

*Â Â 15% of 8 = Ã— 8 = Author(s): *

*7.4 Elixirs of the nervous system: neurotrophins *

*According to Section 7.2 axons obtain an elixir from targets at their synapses.*

*Confirmation that there is indeed an elixir came from a series of events that reveals how much of science really works. Elmer Bucker, working with Hamburger in the mid-1940s, had removed a limb bud from a chick and replaced it with a tumour from*

*Climbing Droplet By: Vivienne Self propulsion of a droplet on an incline*

*Another way to tackle unfamiliar words is to start a â€˜concept cardâ€™ system, using index cards. When you meet a word which seems important, take a new card and write the word at the top, followed by any useful information you have found. File the cards alphabetically and add details as you come across new information. (It is worth getting an index card box anyway, then you can try out various ways of using it to organise your studies.)*

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