How to divide a standard distribution in 5 groups?












0












$begingroup$


For work I need to estimate how a group of 160 people would be divided among 5 sub-groups. Let's assume that the group conforms to a normal distribution.



I need to split the group by expected output (productivity) in 5 subgroups according to their output. I.o.w. if productivity is rated 1 to 5, one would expect a big group in the middle with a score of 3, and less peple with 2, 4 or some extremes with 1 or 5. Then I need to match this projection against the reality.



The 1,2,3 sigma rule doesn't help in this case because the mapping doesn't match.



There are tons of articles on Internet on how to calculate sigma based on data, but not on estimating population groups. University is a long time away, and I don't feel like digesting all the stuff again for only one estimation. I vaguely remember something about a z table.
Would someone know how I can estimate how many people would fall in each of the 5 groups?
Thanks!










share|cite|improve this question











$endgroup$

















    0












    $begingroup$


    For work I need to estimate how a group of 160 people would be divided among 5 sub-groups. Let's assume that the group conforms to a normal distribution.



    I need to split the group by expected output (productivity) in 5 subgroups according to their output. I.o.w. if productivity is rated 1 to 5, one would expect a big group in the middle with a score of 3, and less peple with 2, 4 or some extremes with 1 or 5. Then I need to match this projection against the reality.



    The 1,2,3 sigma rule doesn't help in this case because the mapping doesn't match.



    There are tons of articles on Internet on how to calculate sigma based on data, but not on estimating population groups. University is a long time away, and I don't feel like digesting all the stuff again for only one estimation. I vaguely remember something about a z table.
    Would someone know how I can estimate how many people would fall in each of the 5 groups?
    Thanks!










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      For work I need to estimate how a group of 160 people would be divided among 5 sub-groups. Let's assume that the group conforms to a normal distribution.



      I need to split the group by expected output (productivity) in 5 subgroups according to their output. I.o.w. if productivity is rated 1 to 5, one would expect a big group in the middle with a score of 3, and less peple with 2, 4 or some extremes with 1 or 5. Then I need to match this projection against the reality.



      The 1,2,3 sigma rule doesn't help in this case because the mapping doesn't match.



      There are tons of articles on Internet on how to calculate sigma based on data, but not on estimating population groups. University is a long time away, and I don't feel like digesting all the stuff again for only one estimation. I vaguely remember something about a z table.
      Would someone know how I can estimate how many people would fall in each of the 5 groups?
      Thanks!










      share|cite|improve this question











      $endgroup$




      For work I need to estimate how a group of 160 people would be divided among 5 sub-groups. Let's assume that the group conforms to a normal distribution.



      I need to split the group by expected output (productivity) in 5 subgroups according to their output. I.o.w. if productivity is rated 1 to 5, one would expect a big group in the middle with a score of 3, and less peple with 2, 4 or some extremes with 1 or 5. Then I need to match this projection against the reality.



      The 1,2,3 sigma rule doesn't help in this case because the mapping doesn't match.



      There are tons of articles on Internet on how to calculate sigma based on data, but not on estimating population groups. University is a long time away, and I don't feel like digesting all the stuff again for only one estimation. I vaguely remember something about a z table.
      Would someone know how I can estimate how many people would fall in each of the 5 groups?
      Thanks!







      statistics normal-distribution






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Jan 6 at 11:42







      kxtronic

















      asked Jan 6 at 11:00









      kxtronickxtronic

      1011




      1011






















          1 Answer
          1






          active

          oldest

          votes


















          0












          $begingroup$

          Found a handy calculator here:
          http://davidmlane.com/hyperstat/z_table.html



          I entered the mean of 2.5, an s of 1 and then the groups one by one.
          Distribution per group: 1: 6%, 2:24%,3:38%, 4:24%, 5:6%






          share|cite|improve this answer









          $endgroup$













            Your Answer





            StackExchange.ifUsing("editor", function () {
            return StackExchange.using("mathjaxEditing", function () {
            StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
            StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
            });
            });
            }, "mathjax-editing");

            StackExchange.ready(function() {
            var channelOptions = {
            tags: "".split(" "),
            id: "69"
            };
            initTagRenderer("".split(" "), "".split(" "), channelOptions);

            StackExchange.using("externalEditor", function() {
            // Have to fire editor after snippets, if snippets enabled
            if (StackExchange.settings.snippets.snippetsEnabled) {
            StackExchange.using("snippets", function() {
            createEditor();
            });
            }
            else {
            createEditor();
            }
            });

            function createEditor() {
            StackExchange.prepareEditor({
            heartbeatType: 'answer',
            autoActivateHeartbeat: false,
            convertImagesToLinks: true,
            noModals: true,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: 10,
            bindNavPrevention: true,
            postfix: "",
            imageUploader: {
            brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
            contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
            allowUrls: true
            },
            noCode: true, onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            });


            }
            });














            draft saved

            draft discarded


















            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3063716%2fhow-to-divide-a-standard-distribution-in-5-groups%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown

























            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            0












            $begingroup$

            Found a handy calculator here:
            http://davidmlane.com/hyperstat/z_table.html



            I entered the mean of 2.5, an s of 1 and then the groups one by one.
            Distribution per group: 1: 6%, 2:24%,3:38%, 4:24%, 5:6%






            share|cite|improve this answer









            $endgroup$


















              0












              $begingroup$

              Found a handy calculator here:
              http://davidmlane.com/hyperstat/z_table.html



              I entered the mean of 2.5, an s of 1 and then the groups one by one.
              Distribution per group: 1: 6%, 2:24%,3:38%, 4:24%, 5:6%






              share|cite|improve this answer









              $endgroup$
















                0












                0








                0





                $begingroup$

                Found a handy calculator here:
                http://davidmlane.com/hyperstat/z_table.html



                I entered the mean of 2.5, an s of 1 and then the groups one by one.
                Distribution per group: 1: 6%, 2:24%,3:38%, 4:24%, 5:6%






                share|cite|improve this answer









                $endgroup$



                Found a handy calculator here:
                http://davidmlane.com/hyperstat/z_table.html



                I entered the mean of 2.5, an s of 1 and then the groups one by one.
                Distribution per group: 1: 6%, 2:24%,3:38%, 4:24%, 5:6%







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Jan 6 at 12:18









                kxtronickxtronic

                1011




                1011






























                    draft saved

                    draft discarded




















































                    Thanks for contributing an answer to Mathematics Stack Exchange!


                    • Please be sure to answer the question. Provide details and share your research!

                    But avoid



                    • Asking for help, clarification, or responding to other answers.

                    • Making statements based on opinion; back them up with references or personal experience.


                    Use MathJax to format equations. MathJax reference.


                    To learn more, see our tips on writing great answers.




                    draft saved


                    draft discarded














                    StackExchange.ready(
                    function () {
                    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3063716%2fhow-to-divide-a-standard-distribution-in-5-groups%23new-answer', 'question_page');
                    }
                    );

                    Post as a guest















                    Required, but never shown





















































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown

































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown







                    Popular posts from this blog

                    android studio warns about leanback feature tag usage required on manifest while using Unity exported app?

                    SQL update select statement

                    'app-layout' is not a known element: how to share Component with different Modules