AASL 4.1.1 Discrete v continuous data | Free Mathematics Analysis and Approaches (AA) Video | RevisionDojo
IB Mathematics Analysis and Approaches (AA) videos / SL 4.12—Z values, inverse normal to find mean and standard deviation Free video lesson IB · Mathematics Analysis and Approaches (AA)
AASL 4.1.1 Discrete v continuous data Learn AASL 4.1.1 Discrete v continuous data in this free IB Mathematics Analysis and Approaches (AA) video lesson for SL 4.12—Z values, inverse normal to find mean and standard deviation.
About this video Learn AASL 4.1.1 Discrete v continuous data in this free IB Mathematics Analysis and Approaches (AA) video lesson for SL 4.12—Z values, inverse normal to find mean and standard deviation.
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, temperature, and mass of apples.
Understanding these distinctions is crucial as they frequently appear in statistics.
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.