How to divide a standard distribution in 5 groups?
$begingroup$
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!
statistics normal-distribution
asked Jan 6 at 11:00
kxtronickxtronic
1011
$endgroup$
add a comment |
$begingroup$
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!
statistics normal-distribution
asked Jan 6 at 11:00
kxtronickxtronic
1011
$endgroup$
add a comment |
$begingroup$
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!
statistics normal-distribution
asked Jan 6 at 11:00
kxtronickxtronic
1011
$endgroup$
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
statistics normal-distribution
asked Jan 6 at 11:00
kxtronickxtronic
1011
asked Jan 6 at 11:00
kxtronickxtronic
1011
edited Jan 6 at 11:42
kxtronic
asked Jan 6 at 11:00
kxtronickxtronic
1011
asked Jan 6 at 11:00
kxtronickxtronic
1011
asked Jan 6 at 11:00
kxtronickxtronic
1011
1011
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
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%
answered Jan 6 at 12:18
kxtronickxtronic
1011
$endgroup$
add a comment |
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
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
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
$begingroup$
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%
answered Jan 6 at 12:18
kxtronickxtronic
1011
$endgroup$
add a comment |
$begingroup$
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%
answered Jan 6 at 12:18
kxtronickxtronic
1011
$endgroup$
add a comment |
$begingroup$
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%
answered Jan 6 at 12:18
kxtronickxtronic
1011
$endgroup$
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%
answered Jan 6 at 12:18
kxtronickxtronic
1011
answered Jan 6 at 12:18
kxtronickxtronic
1011
answered Jan 6 at 12:18
kxtronickxtronic
1011
answered Jan 6 at 12:18
kxtronickxtronic
1011
1011
add a comment |
add a comment |
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.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
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
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
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
