anonymous
  • anonymous
Which set of data has 3 modes? A.33, 34, 31, 34, 39, 35, 37, 31, 39, 30......B.31, 34, 31, 34, 39, 35, 37, 31, 34, 35 ......C.32, 35, 31, 36, 41, 40, 37, 30, 42, 29 ......D.32, 35, 36, 35, 32, 36, 32, 36, 35, 32 plz help
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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DebbieG
  • DebbieG
Let's make the data a bit easier to look at, first.... A.33, 34, 31, 34, 39, 35, 37, 31, 39, 30...... B.31, 34, 31, 34, 39, 35, 37, 31, 34, 35 ...... C.32, 35, 31, 36, 41, 40, 37, 30, 42, 29 ...... D.32, 35, 36, 35, 32, 36, 32, 36, 35, 32 Now, the mode is the value (or values) in the data that occur with the highest frequency, but MORE than once. So which set do you think has 3 modes?
anonymous
  • anonymous
i think d
DebbieG
  • DebbieG
What are they, and how many times do they occur?

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anonymous
  • anonymous
(32) 4 times
DebbieG
  • DebbieG
If it has THREE modes, it must have THREE different values that occur the "most" number of times. Whatever value appears the most times, there must be 2 others that occur that same number of times. In D, 32 is the mode, but NO other value appears 4 times, so that one is "unimodal" - meaning that it has only ONE mode. So that's not it.
DebbieG
  • DebbieG
Remember what you are looking for: a set where there are 3 different values that all occur the MOST number of times. They are all "tied for first place" in the race of "what value appears the most". This can be easier to see if you order the data from least to greatest (although not absolutely necessary to do so).
anonymous
  • anonymous
ok i did it and the one a came up with is b 31 comes up 3 time and 34 comes up 3 times...
DebbieG
  • DebbieG
So if TWO values appear the MOST number of times, then how many modes does that data set have??
DebbieG
  • DebbieG
You are looking for THREE modes. There must be THREE values that appear the MOST number of times.
anonymous
  • anonymous
ok so it is d becouse 32 comes up 4 times a 35 comes up 3 times and 36 comes up 3 time so i think it is D...
DebbieG
  • DebbieG
Look, if there is ONE value that occurs the MOST times, then THAT is the ONLY mode. So d has ONE mode (32). You need THREE values that occur the SAME number of times. Let's look at one set at time:
DebbieG
  • DebbieG
A.33, 34, 31, 34, 39, 35, 37, 31, 39, 30...... Now the mode MUST occur more than once. Let's see what values occur more than one time: 34, 34 39, 39 31, 31 All other values: 33, 35, 37, 30, only once each. So the most number of times ANY value occurs is twice, and there are THREE values that occur that many times.
DebbieG
  • DebbieG
There CANT be multiple modes if they don't occur the SAME number of times. Then only the one(s) that occur the MOST will be the mode.
anonymous
  • anonymous
ok thx i think have it now.

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