XYZ Mat 120 Module 1 Lesson 1 2 — Transcript
Full transcript
- 0:00this is module 1 lesson 1.2 we're
- 0:03talking about types of data
- 0:05there are two main types of data they're
- 0:07quantitative
- 0:08and qualitative the quantitative are
- 0:11numerical values that can be ordered or
- 0:13ranked
- 0:14the two types of quantitative data are
- 0:16discrete
- 0:17and continuous discrete is countable
- 0:21they're the natural numbers they don't
- 0:23have fractions and decimals
- 0:25things like numbers of children in your
- 0:27family numbers of students in this class
- 0:30numbers of calls you received on your
- 0:32cell phone yesterday
- 0:34those are things that do not have any
- 0:36fractions or decimal possibilities
- 0:38the continuous is when you measure so
- 0:41therefore you can have fractions and
- 0:43decimals for example your normal body
- 0:45temperature is 98.6
- 0:47your lifetime on your battery calculator
- 0:49could be 2.5 years
- 0:51could be 2 years but also it could be
- 0:54more than that you could have the
- 0:55fraction or decimal
- 0:56the weights of newborn infants those are
- 0:59pounds and
- 1:00ounces so that would be fractions and
- 1:02decimals
- 1:03the gallons of water in the swimming
- 1:04pool so that all would fall into the
- 1:07continuous category
- 1:09the other type of data is qualitative
- 1:11this has nothing to do necessarily with
- 1:12numbers
- 1:13it's placed in categories so examples
- 1:17are
- 1:17gender eye color types of car you drive
- 1:21color a car you drive anything you can
- 1:23put in a category
- 1:26so for our homework problems the data
- 1:28you collect is the number of twitter
- 1:31followers since it's the number it's
- 1:33quantitative because we're putting it in
- 1:36a category numerically but then if you
- 1:39collect data
- 1:40for restaurant ratings superior good
- 1:43average porn fare we're just
- 1:44ranking things this is qualitative so
- 1:47we're just putting in
- 1:48categories
- 1:52now because of the difficulty of
- 1:54weighing a bear in the woods
- 1:56researchers caught and measured 54 bears
- 1:58they recorded
- 1:59weight neck size length and sex they
- 2:01hoped to find a way to estimate weight
- 2:03from the other more easily determine
- 2:05quantities
- 2:06so look at the quantitative variables
- 2:09which one are quantitative variables for
- 2:11this study
- 2:12well sex is not because that would be
- 2:14male or female so that would be a
- 2:16category
- 2:17that would be qualitative weight is
- 2:20numerical so that would be
- 2:22quantitative length is also numerical so
- 2:25that would be quantitative
- 2:27next size would be a numerical value
- 2:30quantitative
- 2:31and then the bear like the type of beard
- 2:33we're going to put that in a category
- 2:35so that would be qualitative
- 2:39then we have levels of measurement the
- 2:41first level of measurement is the
- 2:43nominal level of measurement
- 2:45this is names labels and categories for
- 2:47instance
- 2:48college major nationality political
- 2:50preference anything you put in a
- 2:52category
- 2:53is a nominal level of measurement it's
- 2:56qualitative data in the nominal category
- 3:01ordinal is when you put data in some
- 3:03kind of order for example grades a b and
- 3:06c
- 3:07rating scales poor fair good ranking of
- 3:10college teams for second and third
- 3:12anything that you
- 3:13order is ordinal data interval
- 3:17is data where a difference between
- 3:20meaning value
- 3:21between values is meaningful but 0 is
- 3:23not a starting point that's kind of the
- 3:25key here to to identify these for
- 3:28example
- 3:29on an sat score 0 is not your starting
- 3:32point it doesn't mean anything to say
- 3:33your sat score
- 3:35was 0 or 5 or 10 because those are
- 3:37always in the hundreds
- 3:39iq score the average iq score is 100
- 3:43so that doesn't start from zero
- 3:45temperature outside
- 3:46could be negatives if you live up north
- 3:48then you could have a negative
- 3:49temperature so you don't start with
- 3:51zero body temperature is another one
- 3:53because 98.6 is the normal body
- 3:55temperature
- 3:57ratio is where it's interval data
- 4:01where 0 is the starting point for
- 4:04example when you're born
- 4:05they're going to give height and weight
- 4:07and so your
- 4:09weight is always pounds and ounces and
- 4:11then your height
- 4:12would be inches generally but you could
- 4:16have you know 20
- 4:1721.5 or whatever so that starts from
- 4:20zero
- 4:21age when you're born you know that
- 4:24builds on
- 4:25hours days weeks months and so age would
- 4:29be ratio because that bills from zero
- 4:31and your salary also bills from zero
- 4:35so here's a homework example which level
- 4:38of measurement
- 4:39so gender gender is just naming that's
- 4:42nominal we're going to put it in the
- 4:43nominal category
- 4:46wage per hour that starts from zero
- 4:49remember so we're going to make that one
- 4:50ratio because it starts from
- 4:52zero age also starts from zero so that
- 4:56one is ratio also
- 4:59habits on a ranking scale of always
- 5:02sometimes a never so if we're putting
- 5:04order to this then that one would be
- 5:06ordinal
- 5:08temperature in celsius now remember this
- 5:10is like your temperature outside it
- 5:12doesn't have
- 5:13anything to do with starting at zero so
- 5:15in celsius
- 5:17then the the normal temperature is a
- 5:20little bit different from the fahrenheit
- 5:21but it's still the same idea
- 5:24that would be interval letter grade that
- 5:27one where you notice we're putting it in
- 5:29orders
- 5:30a b c d or f and so that would be
- 5:33ordinal so make sure that you understand
- 5:36the levels of measurement
- 5:38because each of these are a little bit
- 5:41different
- 5:42and then the last one this one's a
- 5:44little vague
- 5:46is this discrete or continuous outside
- 5:49temperature well remember discrete has
- 5:52no decimals or fractions
- 5:54continuous can have
- 5:57decimals and fractions now when you come
- 5:59to this problem in your homework
- 6:01you might not get this exact problem
- 6:03there are a lot of them there generated
- 6:05but if you do get this one you might get
- 6:08a little bit thrown off we know that
- 6:09when the
- 6:10meteorologist says the temperature they
- 6:13generally say it's going to be 96 you
- 6:15generally do not see fractions and
- 6:17decimals
- 6:18but with their models can they have
- 6:22fractions and decimals
- 6:24for outside temperature they can
- 6:28and they probably do so we're going to
- 6:30make this one continuous and that would
- 6:32be the answer to this if you're doing
- 6:34this one in your homework
- 6:37because it's not reported as fractions
- 6:39and decimals but it
- 6:40can be recorded as fractions and
- 6:44decimals
- 6:45now body temperature obviously is
- 6:47fractions and decimals so that would be
- 6:49continuous for sure and that's easier to
- 6:51see
- 6:52so this one i threw this one in here
- 6:54because it's a little bit vague
- 6:56they want you to put continuous for this
- 6:58because the temperature
- 6:59could be written as fractions and
- 7:02decimals
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