Rates-Of-Change gcse Edexcel

课 Progress

0% Complete

Exam code:1ST0

Crude Rates of Change

How do I calculate a crude rate of change?

Understanding rates of change in a population is important for planning purposes
- For example, a town with a high birth rate may need to think about building more schools for the increasing number of children
A crude rate is a way to understand how things are changing in a population
- It is often used to track births or deaths
  - But it can also be used to track other things, like marriages, unemployment, etc.
- A crude rate normally tells you the number of births (or deaths, etc.) per 1000 people
To calculate the crude birth rate (for example) use the formula
- $crude space birth space rate equals fraction numerator number space of space births cross times 1000 over denominator total space population end fraction$
  - This formula is will be given to you in a question on the exam if you need it
    - So you don’t need to remember the formula, you just need to know how to use it
- To calculate a crude rate for other things, replace ‘number of births’ in the formula with ‘number of deaths’, ‘number of marriages’, ‘number of people unemployed’, etc.
You may be given the crude birth rate (or death rate, etc.), and asked to work out one of the other values in the formula
- If you know any two things from the formula you can find the third one
- Substitute in the values you know
  - and solve to find the one you want to know
You can also calculate a crude rate per 100 people (instead of per 1000)
- Replace ‘ $cross times 1000$ ‘ in the formula with ‘ $cross times 100$ ‘
- Only do this if a question tells you to

Worked Example

Last year a particular town had a population of 75 992.

(a) Given that there were 783 deaths during the year, find the crude death rate for the town. Give your answer correct to 3 decimal places.

Use $crude space death space rate equals fraction numerator number space of space deaths cross times 1000 over denominator total space population end fraction$

<img alt=”fraction numerator 783 cross times 1000 over denominator 75992 end fraction equals 10.303716…” data-mathml=”<math ><semantics><mrow><mfrac><mrow><mn>783</mn><mo>×</mo><mn>1000</mn></mrow><mn>75992</mn></mfrac><mo>=</mo><mn>10</mn><mo>.</mo><mn>303716</mn><mo>.</mo><mo>.</mo><mo>.</mo></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true,”toolbar”:”<toolbar ref=’general’><tab ref=’general’><removeItem ref=’setColor’/><removeItem ref=’bold’/><removeItem ref=’italic’/><removeItem ref=’autoItalic’/><removeItem ref=’setUnicode’/><removeItem ref=’mtext’ /><removeItem ref=’rtl’/><removeItem ref=’forceLigature’/><removeItem ref=’setFontFamily’ /><removeItem ref=’setFontSize’/></tab></toolbar>”}</annotation></semantics></math>” data-type=”working” height=”47″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2247%22%20width%3D%22198%22%20wrs%3Abaseline%3D%2230%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmrow%3E%3Cmn%3E783%3C%2Fmn%3E%3Cmo%3E%26%23xD7%3B%3C%2Fmo%3E%3Cmn%3E1000%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn%3E75992%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E10%3C%2Fmn%3E%3Cmo%3E.%3C%2Fmo%3E%3Cmn%3E303716%3C%2Fmn%3E%3Cmo%3E.%3C%2Fmo%3E%3Cmo%3E.%3C%2Fmo%3E%3Cmo%3E.%3C%2Fmo%3E%3C%2Fmath%3E–%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A’math183d412f76da6ec59341494f003’%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAAERjdnQgDVUNBwAAAWAAAAA6Z2x5ZoPi2VsAAAGcAAABZ2hlYWQQC2qxAAADBAAAADZoaGVhCGsXSAAAAzwAAAAkaG10eE2rRkcAAANgAAAAEGxvY2EAHTwYAAADcAAAABRtYXhwBT0FPgAAA4QAAAAgbmFtZaBxlY4AAAOkAAABn3Bvc3QB9wD6AAAFRAAAACBwcmVwa1uragAABWQAAAAUAAADSwGQAAUAAAQABAAAAAAABAAEAAAAAAAAAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg1UADev96AAAD6ACWAAAAAAACAAEAAQAAABQAAwABAAAAFAAEADAAAAAIAAgAAgAAAC4APQDX%2F%2F8AAAAuAD0A1%2F%2F%2F%2F9P%2Fxf8sAAEAAAAAAAAAAAAAAVQDLACAAQAAVgAqAlgCHgEOASwCLABaAYACgACgANQAgAAAAAAAAAArAFUAgACrANUBAAErAAcAAAACAFUAAAMAA6sAAwAHAAAzESERJSERIVUCq%2F2rAgD%2BAAOr%2FFVVAwAAAQAgAAAAoACAAAMALxgBsAQQsAPUsAMQsALUsAMQsAA8sAIQsAE8ALAEELAD1LADELACPLAAELABPDAxNzMVIyCAgICAAAI

Statistics Gcse Edexcel Foundation

Rates-Of-Change gcse Edexcel

Crude Rates of Change

How do I calculate a crude rate of change?

Worked Example

Responses