AISL 4.1.1 Discrete v continuous data | Free Mathematics Applications & Interpretation (AI) Video | RevisionDojo
IB Mathematics Applications & Interpretation (AI) videos / SL 4.11—Expected, observed, hypotheses, chi squared, gof, t-test Free video lesson IB · Mathematics Applications & Interpretation (AI)
AISL 4.1.1 Discrete v continuous data Learn AISL 4.1.1 Discrete v continuous data in this free IB Mathematics Applications & Interpretation (AI) video lesson for SL 4.11—Expected, observed, hypotheses, chi squared, gof, t-test.
About this video Learn AISL 4.1.1 Discrete v continuous data in this free IB Mathematics Applications & Interpretation (AI) video lesson for SL 4.11—Expected, observed, hypotheses, chi squared, gof, t-test.
The video explains the difference between discrete and continuous data . Discrete data can only take certain values, such as the number of students in a class or shoe sizes, while continuous data can take any value, like height or time.
Key examples include:
Discrete Data : Number of students, shoe sizes, age in years, and goals scored.Continuous Data : Foot length, height, time taken to get to school, and temperature.
Understanding these distinctions is crucial as they will frequently appear throughout statistics topics.
Video transcript 00:00 Hi everybody. So in this
00:02 lesson we're going to look
00:03 at the difference between discrete
00:05 and continuous data. Now I've
00:07 two kind of loose definitions
00:08 here. Discrete data can only
00:11 take certain values and continuous
00:13
can take any value. Now
00:17 to kind of explain the
00:18 difference between the two is
00:20 examples and then decide which
00:23 one is or into which
00:26 category it goes. Discrete or
00:28 and then kind of discuss
00:29 them a little bit. So
00:30 what I'm going to do
00:31 is I'm going to move
00:32 them into the correct category.
00:34 I suggest you have a
00:35 guess. Well, see if you
00:38 know the answer, but even
00:39 if you don't know the
00:40 answer, have a guess. Choose
00:41 one for each of these
00:45 the number of students in
00:47 into discrete or continuous? Well,
00:50 it goes into discrete because
00:56 number of students in a
00:57 class, it's either going to
01:01 or 26 or whatever, you
01:02 can't have 22 .345682 students.
01:07 Are you can't even have
01:09 five and a half students
01:11 students or whatever? So it
01:13 has to, it is discrete,
01:14 it is not continuous. Shoe
01:16 size, shoe size is also
01:20 discrete. Now a common misconception
01:24 Screete is like whole numbers
01:26 or integers. And it's like
01:28 shoe size would be, let's
01:32 eight or nine. But it
01:34 doesn't have to be integers.
01:36 For example, you could have
01:44 .5. Now even though I
01:45 have 0 .5, it's still
01:48 discrete because it's jumping. It
01:52 seven to seven or five.
01:53 You kind of six point
01:54 five, two, three, four, two,
01:57 eight, nine, seven, whatever. Okay,
02:00 so just, just be clear.
02:02 It's not, discrete does not
02:04 mean a whole number. It
02:05 just means certain values. Okay,
02:08 liberty put in one that's
02:11 similar to shoe size or
02:13 shoe sizes to screat, foot
02:14 length is continuous, because you're
02:18 the length of your foot
02:22 be anything. It can take
02:23 any value. Your foot doesn't,
02:27 it's not like it's 20
02:30 centimeters and then the next
02:31 day, it's 21 centimeters or
02:34 even the next second, then
02:35 it goes to 22 centimeters.
02:37 Your foot doesn't grow like
02:38 that. It grows continuously. Height
02:42 is similar. You don't just,
02:44 you don't just suddenly get
02:46 a foot taller or even
02:47 a centimeter taller.
02:48 or even a millimeter taller
02:52 or even the smallest length
02:53 you can think of, it
02:55 happens continuously. Now I actually,
03:01 let's think of height, let's
03:03 say six foot. I like
03:05 to sometimes ask the question,
03:06 how many people in the
03:08 world are six foot tall
03:11 exactly? And the answer is
03:13 zero. Nobody, there is nobody
03:16 world that is exactly six
03:18 foot tall. It's it's mathematically
03:22 correct to say it it
03:24 it is zero people because
03:26 you're either going to be
03:27 a tiny tiny little bit
03:30 tiny tiny little bit less
03:32 said how many people are
03:34 between let's say between between
03:40 five point nine nine nine
03:44 and 6 .0001 feet then
03:51 yeah there could be many
03:54 people between this and this
03:58 in terms of height but
03:59 there's zero people that are
04:01 exactly six foot and that's
04:02 quite important. Okay time to
04:05 get to school how long
04:06 get to school? That's continuous
04:09 because time is continuing
04:14 said time rounded to the
04:17 nearest minutes, then yeah, that's
04:19 discrete because it's either five
04:20 minutes or six minutes or
04:21 10 minutes or 20 minutes
04:22 or 21 minutes. But if
04:23 it's just time, there's always
04:26 that little difference. It's never
04:28 exactly 10 minutes. It's like
04:30 10 point something. Olympic 100
04:34 meter final times now, I've,
04:37 I'm deliberately putting in one
04:38 set of slightly tricky.
04:40 This is discrete and the
04:42 reason is because if you
04:45 watch the Olympics they measure
04:46 them to the nearest hundredth
04:50 world record is like from
04:51 Usain Bolt 9 .5, I'm
04:57 struggling with this. See there
05:02 correct there. So the 100
05:04 meter final times it's measured
05:07 to the nearest hundredth of
05:08 second. You saying both did
05:10 not run it in exactly
05:11 9 .58 seconds? It was
05:14 rounded to the nearest hundredth
05:15 of a second. And sometimes
05:16 you'll see two people finish
05:18 with the exact same time.
05:20 And that's when you get
05:22 what they call a photo
05:23 finish. And they actually need
05:24 to look at the photo
05:26 to see who actually crossed
05:27 the line first. Okay, coffee
05:32 temperature. Well, if you've seen
05:36 on exponential functions, you'll see
05:39 that, well, maybe that doesn't
05:41 mention continuous, but the temperature
05:43 is continuous, because it continuously
05:46 drops, it gets cooler and
05:47 cooler and cooler. It doesn't
05:48 suddenly go from 80 degrees
05:52 to 70 degrees, or even
05:56 just slowly continuously gets cooler.
05:59 Age in years, it's discrete,
06:02 because you do jump, you
06:09 from 17 to 18 that's
06:11 in years. Time you've been
06:13 alive, that's continuous. Number of
06:16 goals scored, that's discrete. You
06:19 either scored five goals or
06:21 six goals or seven goals,
06:22 you didn't score five point
06:23 two goals or anything like
06:24 that. And the mass of
06:26 apples in a shop, well
06:28 mass is, mass is continuous.
06:33 Because again, it doesn't jump.
06:38 It's not like one apple
06:40 is 60 grams and then
06:45 another apple is 62 grams.
06:49 Now if the shot might
06:50 weigh it to the nearest
06:51 gram, but really the mass
06:54 of the apple is continuous
06:56 and you could have an
06:57 apple that weighs 6 .1234,
07:01 for eight, nine, ten grams,
07:02 whatever. Okay, that's discrete, be
07:07 continuous. Hopefully it's clear. Yes,
07:11 it's very important. And it
07:15 will be coming up in
07:17 all along the statistics topic.
07:21 You will see discrete continuous
07:22 data. So make sure you
07:23 understand what the difference is.