Samples of different insect species in a back garden were collected using sweep nets and identification keys. Use the data recorded to calculate the index of diversity.
The total number of organisms(N) in this community would be: 7 + 34 + 6 + 21 + 12 + 37 + 7 + 19 + 59 = 202
The formula is:
%3C%2Fmo%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmi%3E%26%23x3A3%3Bn%3C%2Fmi%3E%3Cmo%3E(%3C%2Fmo%3E%3Cmi%20mathvariant%3D%22normal%22%3En%3C%2Fmi%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E)%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmath%3E--%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A'math143f4d31b04031e49f5eb18baba'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAADxjdnQgDVUNBwAAAVgAAAA6Z2x5ZoPi2VsAAAGUAAAA%2FGhlYWQQC2qxAAACkAAAADZoaGVhCGsXSAAAAsgAAAAkaG10eE2rRkcAAALsAAAADGxvY2EAHTwYAAAC%2BAAAABBtYXhwBT0FPgAAAwgAAAAgbmFtZaBxlY4AAAMoAAABn3Bvc3QB9wD6AAAEyAAAACBwcmVwa1uragAABOgAAAAUAAADSwGQAAUAAAQABAAAAAAABAAEAAAAAAAAAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg1UADev96AAAD6ACWAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACAD0iEv%2F%2FAAAAPSIS%2F%2F%2F%2FxN3wAAEAAAAAAAAAAAFUAywAgAEAAFYAKgJYAh4BDgEsAiwAWgGAAoAAoADUAIAAAAAAAAAAKwBVAIAAqwDVAQABKwAHAAAAAgBVAAADAAOrAAMABwAAMxEhESUhESFVAqv9qwIA%2FgADq%2FxVVQMAAAIAgADrAtUCFQADAAcAZRgBsAgQsAbUsAYQsAXUsAgQsAHUsAEQsADUsAYQsAc8sAUQsAQ8sAEQsAI8sAAQsAM8ALAIELAG1LAGELAH1LAHELAB1LABELAC1LAGELAFPLAHELAEPLABELAAPLACELADPDEwEyE1IR0BITWAAlX9qwJVAcBV1VVVAAEAgAFVAtUBqwADADAYAbAEELEAA%2FawAzyxAgf1sAE8sQUD5gCxAAATELEABuWxAAETELABPLEDBfWwAjwTIRUhgAJV%2FasBq1YAAQAAAAEAANV4zkFfDzz1AAMEAP%2F%2F%2F%2F%2FWOhNz%2F%2F%2F%2F%2F9Y6E3MAAP8gBIADqwAAAAoAAgABAAAAAAABAAAD6P9qAAAXcAAA%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%3D%3D)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%40font-face%7Bfont-family%3A'round_brackets18549f92a457f2409'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMjwHLFQAAADMAAAATmNtYXDf7xCrAAABHAAAADxjdnQgBAkDLgAAAVgAAAASZ2x5ZmAOz2cAAAFsAAABJGhlYWQOKih8AAACkAAAADZoaGVhCvgVwgAAAsgAAAAkaG10eCA6AAIAAALsAAAADGxvY2EAAARLAAAC%2BAAAABBtYXhwBIgEWQAAAwgAAAAgbmFtZXHR30MAAAMoAAACOXBvc3QDogHPAAAFZAAAACBwcmVwupWEAAAABYQAAAAHAAAGcgGQAAUAAAgACAAAAAAACAAIAAAAAAAAAQIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAo8AMGe%2F57AAAHPgGyAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACACgAKf%2F%2FAAAAKAAp%2F%2F%2F%2F2f%2FZAAEAAAAAAAAAAAFUAFYBAAAsAKgDgAAyAAcAAAACAAAAKgDVA1UAAwAHAAA1MxEjEyMRM9XVq4CAKgMr%2FQAC1QABAAD%2B0AIgBtAACQBNGAGwChCwA9SwAxCwAtSwChCwBdSwBRCwANSwAxCwBzywAhCwCDwAsAoQsAPUsAMQsAfUsAoQsAXUsAoQsADUsAMQsAI8sAcQsAg8MTAREAEzABEQASMAAZCQ%2FnABkJD%2BcALQ%2FZD%2BcAGQAnACcAGQ%2FnAAAQAA%2FtACIAbQAAkATRgBsAoQsAPUsAMQsALUsAoQsAXUsAUQsADUsAMQsAc8sAIQsAg8ALAKELAD1LADELAH1LAKELAF1LAKELAA1LADELACPLAHELAIPDEwARABIwAREAEzAAIg%2FnCQAZD%2BcJABkALQ%2FZD%2BcAGQAnACcAGQ%2FnAAAQAAAAEAAPW2NYFfDzz1AAMIAP%2F%2F%2F%2F%2FVre7u%2F%2F%2F%2F%2F9Wt7u4AAP7QA7cG0AAAAAoAAgABAAAAAAABAAAHPv5OAAAXcAAA%2F%2F4DtwABAAAAAAAAAAAAAAAAAAAAAwDVAAACIAAAAiAAAAAAAAAAAAAkAAAAowAAASQAAQAAAAMACgACAAAAAAACAIAEAAAAAAAEAABNAAAAAAAAABUBAgAAAAAAAAABAD4AAAAAAAAAAAACAA4APgAAAAAAAAADAFwATAAAAAAAAAAEAD4AqAAAAAAAAAAFABYA5gAAAAAAAAAGAB8A%2FAAAAAAAAAAIABwBGwABAAAAAAABAD4AAAABAAAAAAACAA4APgABAAAAAAADAFwATAABAAAAAAAEAD4AqAABAAAAAAAFABYA5gABAAAAAAAGAB8A%2FAABAAAAAAAIABwBGwADAAEECQABAD4AAAADAAEECQACAA4APgADAAEECQADAFwATAADAAEECQAEAD4AqAADAAEECQAFABYA5gADAAEECQAGAB8A%2FAADAAEECQAIABwBGwBSAG8AdQBuAGQAIABiAHIAYQBjAGsAZQB0AHMAIAB3AGkAdABoACAAYQBzAGMAZQBuAHQAIAAxADgANQA0AFIAZQBnAHUAbABhAHIATQBhAHQAaABzACAARgBvAHIAIABNAG8AcgBlACAAUgBvAHUAbgBkACAAYgByAGEAYwBrAGUAdABzACAAdwBpAHQAaAAgAGEAcwBjAGUAbgB0ACAAMQA4ADUANABSAG8AdQBuAGQAIABiAHIAYQBjAGsAZQB0AHMAIAB3AGkAdABoACAAYQBzAGMAZQBuAHQAIAAxADgANQA0AFYAZQByAHMAaQBvAG4AIAAyAC4AMFJvdW5kX2JyYWNrZXRzX3dpdGhfYXNjZW50XzE4NTQATQBhAHQAaABzACAARgBvAHIAIABNAG8AcgBlAAAAAAMAAAAAAAADnwHPAAAAAAAAAAAAAAAAAAAAAAAAAAC5B%2F8AAY2FAA%3D%3D)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%3C%2Fstyle%3E%3C%2Fdefs%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%226.5%22%20y%3D%2231%22%3ED%3C%2Ftext%3E%3Ctext%20font-family%3D%22math143f4d31b04031e49f5eb18baba%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2227.5%22%20y%3D%2231%22%3E%3D%3C%2Ftext%3E%3Cline%20stroke%3D%22%23000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%2244.5%22%20x2%3D%22119.5%22%20y1%3D%2224.5%22%20y2%3D%2224.5%22%2F%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2255.5%22%20y%3D%2218%22%3EN%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2265.5%22%20y%3D%2218%22%3E(%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2274.5%22%20y%3D%2218%22%3EN%3C%2Ftext%3E%3Ctext%20font-family%3D%22math143f4d31b04031e49f5eb18baba%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2290.5%22%20y%3D%2218%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%22105.5%22%20y%3D%2218%22%3E1%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%22112.5%22%20y%3D%2218%22%3E)%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2256.5%22%20y%3D%2244%22%3E%26%23x3A3%3Bn%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2270.5%22%20y%3D%2244%22%3E(%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2278.5%22%20y%3D%2244%22%3En%3C%2Ftext%3E%3Ctext%20font-family%3D%22math143f4d31b04031e49f5eb18baba%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2292.5%22%20y%3D%2244%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%22107.5%22%20y%3D%2244%22%3E1%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%22114.5%22%20y%3D%2244%22%3E)%3C%2Ftext%3E%3C%2Fsvg%3E)
Answer:
Step one: Calculate N(N-1) to find value A
N(N-1) = 202(202-1)
N(N-1)= 202(201)
N(N-1) = 40602
Step two: Calculate n(n-1) for each species and add all of these numbers together to find value B
See table below
<img alt=”Index of diversity working table” class=”ContentBlock_figure__vJw2q” data-nimg=”1″ decoding=”async” height=”797″ loading=”lazy” sizes=”(max-width: 320px) 320w, (max-width: 640px) 640w, (max-width: 960px) 960w, (max-width: 1280px) 1280w, 1920w” src=”https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cms.savemyexams.co.uk/_next/image?url=https%3A%2F%2Fcdn.savemyexams.com%2Fuploads%2F2021%2F03%2FIndex-of-diversity-working-table.png&w=3840&q=75″ srcset=”https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=16/https://cms.savemyexams.co.uk/_next/image?url=https%3A%2F%2Fcdn.savemyexams.com%2Fuploads%2F2021%2F03%2FIndex-of-diversity-working-table.png&w=3840&q=75 16w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=32/https://cms.savemyexams.co.uk/_next/image?url=https%3A%2F%2Fcdn.savemyexams.com%2Fuploads%2F2021%2F03%2FIndex-of-diversity-working-table.png&w=3840&q=75 32w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=48/https://cms.savemyexams.co.uk/_next/image?url=https%3A%2F%2Fcdn.savemyexams.com%2Fuploads%2F2021%2F03%2FIndex-of-diversity-working-table.png&w=3840&q=75 48w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=64/https://cms.savemyexams.co.uk/_next/image?url=https%3A%2F%2Fcdn.savemyexams.com%2Fuploads%2F2021%2F03%2FIndex-of-diversity-working-table.png&w=3840&q=75 64w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=96/https://cms.savemyexams.co.uk/_next/image?url=https%3A%2F%2Fcdn.savemyexams.com%2Fuploads%2F2021%2F03%2FIndex-of-diversity-working-table.png&w=3840&q=75 96w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=128/https://cms.savemyexams.co.uk/_next/image?url=https%3A%2F%2Fcdn.savemyexams.com%2Fuploads%2F2021%2F03%2FIndex-of-diversity-working-table.png&w=3840&q=75 128w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=256/https://cms.savemyexams.co.uk/_next/image?url=https%3A%2F%2Fcdn.savemyexams.com%2Fuploads%2F2021%2F03%2FIndex-of-diversity-working-table.png&w=3840&q=75 256w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=384/https://cms.savemyexams.co.uk/_next/image?url=https%3A%2F%2Fcdn.savemyexams.com%2Fuploads%2F2021%2F03%2FIndex-of-diversity-working-table.png&w=3840&q=75 384w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=640/https://cms.savemyexams.co.uk/_next/image?url=https%3A%2F%2Fcdn.savemyexams.com%2Fuploads%2F2021%2F03%2FIndex-of-diversity-working-table.png&w=3840&q=75 640w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=750/https://cms.savemyexams.co.uk/_next/image?url=https%3A%2F%2Fcdn.savemyexams.com%2Fuploads%2F2021%2F03%2FIndex-of-diversity-working-table.png&w=
Responses