Matematika SMA - Statistik Data Kelompok 1 - Membuat Tabel Distribusi Frekuensi Data Berkelompok

00:12:34
https://www.youtube.com/watch?v=mFjrjStjoTI

Ringkasan

TLDRVideo ini mengajarkan cara membuat tabel distribusi frekuensi dari data kelompok. Dimulai dengan penjelasan tentang apa itu tabel distribusi frekuensi, video ini menjelaskan langkah-langkah untuk menentukan batas kelas, panjang kelas, dan nilai tengah. Contoh data diberikan untuk menunjukkan cara menghitung frekuensi untuk setiap kelas. Penonton juga diajak untuk berlatih dengan soal tambahan dan diingatkan untuk berlangganan saluran.

Takeaways

  • 📊 Tabel distribusi frekuensi mengelompokkan data dalam kelas.
  • 🔍 Batas kelas terdiri dari nilai batas bawah dan atas.
  • 📏 Panjang kelas adalah selisih antara batas atas dan bawah.
  • ⚖️ Nilai tengah dihitung dengan (batas bawah + batas atas) / 2.
  • 📈 Langkah pertama adalah menentukan rentang data.
  • 📝 Frekuensi dihitung dengan menghitung jumlah data dalam setiap kelas.
  • 💡 Latihan tambahan disediakan untuk pemahaman lebih lanjut.
  • 👥 Bergabung dengan saluran Legurless untuk manfaat tambahan.
  • 👍 Jangan lupa untuk menyukai dan berlangganan saluran.
  • 📅 Video selanjutnya akan membahas lebih lanjut tentang statistik.

Garis waktu

  • 00:00:00 - 00:05:00

    Video ini membincangkan tentang cara membuat jadual pengagihan frekuensi daripada data berkumpulan. Pertama, penonton diperkenalkan kepada konsep jadual pengagihan frekuensi yang mengandungi kelas dengan panjang yang sama. Penjelasan tentang had kelas, termasuk had bawah dan had atas, serta cara mengira nilai tengah bagi setiap kelas juga diberikan. Penonton diajar cara menentukan panjang kelas dan bagaimana untuk mengira nilai tengah kelas menggunakan formula yang sesuai.

  • 00:05:00 - 00:12:34

    Setelah memahami konsep asas, video meneruskan dengan langkah-langkah praktikal untuk membuat jadual pengagihan frekuensi. Penonton diajar cara mencari julat data, menentukan bilangan kelas menggunakan kaedah empirikal, dan mengira panjang kelas. Contoh praktikal diberikan dengan data tertentu, di mana penonton diajar untuk mengisi kelas dengan nilai data dan mengira frekuensi. Akhir video, penonton diberi latihan untuk menguji pemahaman mereka tentang cara membuat jadual pengagihan frekuensi.

Peta Pikiran

Video Tanya Jawab

  • Apa itu tabel distribusi frekuensi?

    Tabel distribusi frekuensi adalah kumpulan data yang dikelompokkan dalam kelas dengan interval yang sama.

  • Bagaimana cara menentukan batas kelas?

    Batas kelas ditentukan oleh nilai batas bawah dan batas atas dari setiap kelas.

  • Apa itu nilai tengah?

    Nilai tengah adalah nilai yang dianggap mewakili kelas, dihitung dengan rumus (batas bawah + batas atas) / 2.

  • Bagaimana cara menghitung panjang kelas?

    Panjang kelas adalah selisih antara batas atas dan batas bawah.

  • Apa langkah pertama dalam membuat tabel distribusi frekuensi?

    Langkah pertama adalah menentukan rentang data dengan mencari nilai maksimum dan minimum.

  • Apa itu kelas dalam tabel distribusi frekuensi?

    Kelas adalah kelompok data yang memiliki interval yang sama.

  • Bagaimana cara menghitung frekuensi?

    Frekuensi dihitung dengan menghitung jumlah data yang masuk ke dalam setiap kelas.

  • Apa yang harus dilakukan setelah membuat tabel distribusi frekuensi?

    Setelah membuat tabel, kita dapat mencari nilai minimum, median, dan modus.

  • Apa yang dimaksud dengan keanggotaan saluran Legurless?

    Keanggotaan saluran Legurless menawarkan tiga tingkat keanggotaan dengan manfaat yang berbeda.

  • Bagaimana cara bergabung dengan saluran Legurless?

    Anda dapat bergabung dengan mengklik tombol bergabung di bawah video.

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Teks
en
Gulir Otomatis:
  • 00:00:00
    Hello friends, meet again with you on the Legurless channel. In
  • 00:00:03
    this video, we will discuss high school material, namely statistics on group data.
  • 00:00:08
    In this video, we will learn first how to make a
  • 00:00:12
    frequency distribution table from group data. Later on for the data. friends
  • 00:00:18
    , you can look for the link, bro, put it below so friends can
  • 00:00:21
    learn from the first video to the last video and as usual, this video
  • 00:00:25
    will also have its own playlist for high school students so friends
  • 00:00:29
    can learn from the first video to the last later. bro, put
  • 00:00:32
    the playlist link on the top right, don't forget to like the video and
  • 00:00:35
    also subscribe to the De Gurules channel. OK, let's just talk about
  • 00:00:41
    how to make a frequency distribution table from group data
  • 00:00:46
    before we continue watching the video. Bro, I want to let you know
  • 00:00:49
    that now You can become a member on the Legrules channel. There are three
  • 00:00:53
    membership levels that you can get, namely the linear, square and
  • 00:00:57
    cubic levels. Of course, each has its own benefits that you can
  • 00:01:00
    get. You can become a member by clicking the join button at
  • 00:01:04
    the bottom right of the video or the one below. it's on the legurules channel page. Welcome
  • 00:01:09
    to join. Before we make it, we have to know first
  • 00:01:14
    what this grouped frequency distribution table is. It's a collection of grouped data
  • 00:01:18
    , so there are groups in classes that have the
  • 00:01:23
    same interval or class length, for example, what do you do, Sis? Examples like Yes, OK, bro, I
  • 00:01:28
    have prepared this. Later there will be family planning material discussed, but here there are the class values, then
  • 00:01:33
    there is the frequency, so we call this one a class, yes, this is the
  • 00:01:38
    first class, the second class, the third class, 4 5 6 and the class k-7. So what's going on? Just
  • 00:01:45
    here, the first class is a group, yes. There was a class,
  • 00:01:49
    first, second, third, fourth, fifth, sixth, and ketu, each class has
  • 00:01:54
    a frequency, but we don't know what the value of the frequency of the 3 is.
  • 00:01:59
    Is it all 30, is it all 31 or are we mixed or not? knowing what it is like
  • 00:02:06
    secondly, we will know what is called a class limit. Class limits are the
  • 00:02:10
    lower end value and the upper end value of a class, then we can say Yes, this
  • 00:02:15
    is the lower limit of a class where we have a lower limit, namely
  • 00:02:20
    30, 40 and so on. but here we have what is called the upper limit
  • 00:02:27
    of the class, which is different from the lower limit and upper limit. We have what is called
  • 00:02:33
    the lower edge and the upper limit of the class. Well, the edge of the class is the class limit with
  • 00:02:38
    the closest accuracy. Well, if the number here is an integer, then
  • 00:02:42
    the accuracy is half of that number yes then we have here the
  • 00:02:47
    lower edge is the lower limit Dik 0.5 so here for the lower edge of
  • 00:02:54
    this first class later we have here is
  • 00:02:58
    29.5 because 30 - 0.5 while the upper edge class then we have
  • 00:03:07
    39.5 because 39 + 5 here means the bottom edge of the second class
  • 00:03:12
    is 39.5 and the top edge of the second class is 49.5 and
  • 00:03:18
    so on. Later if we complete it it will be like this yes we have the
  • 00:03:22
    bottom edge of the class And we have the top edge of the class, now the following value
  • 00:03:26
    we need to know is the class length, usually referred to as the class width or
  • 00:03:31
    class interval, the class length is the difference between the top edge and the bottom edge
  • 00:03:36
    , so if we subtract 39.5 - 29.5, we have the class length
  • 00:03:43
    for This frequency table is 10 and the length of this class in one table must be
  • 00:03:48
    the same. Yes, these 10 must not all be different. If they are different then the table will not be
  • 00:03:53
    right. Next, we have the middle value. The middle value is the value that
  • 00:03:57
    is considered to represent the class. It is also called the midpoint of the class or The formula for the middle value class average
  • 00:04:02
    is the lower limit plus the upper limit divided by 2 so
  • 00:04:08
    we have 30 + 39 / 2 like that, then we have here 30 +
  • 00:04:15
    39 which is 69 / 2 so if we divide by 2 then we have
  • 00:04:21
    the result 34.5 so if we look for all
  • 00:04:25
    the middle values ​​We will have values ​​like this Well yes 34.5 44.5 where do you get
  • 00:04:31
    40 + 49 / 2 94.5 where do you get from 90 + 99// 2 now we
  • 00:04:40
    are just learning How to make Si a frequency distribution table here
  • 00:04:44
    you have data, yes there are 100 data, there are 36 60 54 and so on the steps
  • 00:04:51
    What is it like for us to do or search for the
  • 00:04:57
    frequency distribution table? First, we will determine the data range or
  • 00:05:01
    range of data that we have, so from the large amount of data that we
  • 00:05:05
    have, we have to look for the largest and smallest data values. Here the
  • 00:05:10
    smallest data value is 18 and the largest data is 69, yes, there is no
  • 00:05:15
    70 71, there is no maximum 69, so for the data range
  • 00:05:21
    we can calculate 69 - 18. We will have 51. Second, we determine the number of
  • 00:05:29
    classes. Actually, there are many ways, yes, and you don't have to follow this, there can be
  • 00:05:33
    many the class is determined manually, for example we want the class to be 10, that's
  • 00:05:38
    fine, but here there is a method or formula, namely the empirical rule of
  • 00:05:43
    Sturges that we can use, namely k or the number of classes is 1 + 3.3
  • 00:05:50
    *the log of this nn is there's a lot of
  • 00:05:56
    data, so if we look for it, the k value of n is 1 + 3.3, times we
  • 00:06:03
    have 100 data here, then we multiply by log 10, log 100, then 1 + 3.3. The value
  • 00:06:11
    of log 100 is 2, then friends -Friends, can you just tell me
  • 00:06:15
    what the value of the log is, then 1 + 6.6 we have 7.6 and we will always
  • 00:06:22
    round up so we will get the number of classes, which is
  • 00:06:26
    8, if we get the number of classes then we can finally find The length or
  • 00:06:30
    class interval is the range or extent of the data divided by
  • 00:06:34
    the number. This means that we divided 51 by 8 and we will get the result
  • 00:06:42
    6.375. Later we will take the odd one, which means odd, bro, so
  • 00:06:47
    we round it to an odd number so that the middle value is good enough,
  • 00:06:52
    right? there's a comma then here we have the value we take 7uh If it's
  • 00:06:57
    sixth, it's okay. No, it's okay, actually okay, okay, let's move on to the
  • 00:07:01
    next stage. Next stage, we will determine the classes
  • 00:07:05
    with the minimum value being in the first class and the maximum value being in
  • 00:07:09
    the first class. Finally, yes, then we will fill in the classes with
  • 00:07:12
    data values ​​using Turus, we will teach you later. Well, here we already know
  • 00:07:16
    that the range is 51, the number of classes is 8 and the length of the class or the width of the class is 7,
  • 00:07:22
    which means from the data that we created earlier, if we create the class here we
  • 00:07:26
    can do this, for example, if you want the lowest value to be the minimum data,
  • 00:07:30
    you can also, for example, if it is 18, that means with a length of class 7, it will eventually
  • 00:07:36
    reach 24, yes, 18 19, that means if we calculate 18 19 20 21 22 23 24, that will be the edge
  • 00:07:49
    or upper limit. there are 24, then just add 7 so it's easy, friends, that
  • 00:07:54
    means 18 + 7, then 25, then add 7 more, 32 3 9 46 53 60 and 67,
  • 00:08:06
    so just add 7, for simplicity, the upper limit is also the same, just
  • 00:08:11
    add 7, then we have 31 38 45 52 59 66 and
  • 00:08:22
    73 and so on. What we have to do, what we do next
  • 00:08:27
    is calculate with Lus, so for example, here there is data 36 Oh, 36 is
  • 00:08:32
    in that class, that's here, OK, then 60 60 is in that class,
  • 00:08:37
    which way? here yes 54 54 is the class in Which one is Here and so on later
  • 00:08:43
    we will get something like this now we will get the data,
  • 00:08:49
    we have calculated it, we enter it so we can calculate
  • 00:08:53
    the frequency, which means here the frequency we have is 14, OK, this is it
  • 00:08:57
    there are 5, right? 5 + 5 10 + 4 14 this means 13 5 + 5 + 4 14 again 5 + 5 + 5 +
  • 00:09:08
    5 + 3 then we have here 23 5 + 5 + 3 5 + 3 we have 18 5 + 5 + 1 we
  • 00:09:17
    have 11 5 + 1 we have 6 and we have 1 Well later when we have this
  • 00:09:24
    then we can process the data we can find the min we look for the median
  • 00:09:27
    look for the mode and so on we will learn in the next video Yes well but before
  • 00:09:31
    going to the next video Let's try one more question for the friends to practice. I'll
  • 00:09:36
    give you some time first. You can pause the video. Later, friends, you can try
  • 00:09:41
    to copy it. Later, we'll discuss it when you've finished.
  • 00:09:53
    OK, you've paused. You can play the video again. Later, friends, you can check
  • 00:09:56
    the answers. Friends, is it correct or not? We follow the steps above. First,
  • 00:10:01
    we determine the data range, which means we look for the maximum value and
  • 00:10:05
    look for the minimum value. The maximum value is 99 and the minimum value is 34. There is
  • 00:10:10
    nothing lower than 34 and nothing higher than 99
  • 00:10:14
    so we have a data range of 99 - 34, namely 65 UN can be our data range
  • 00:10:21
    determine the number of classes, because coincidentally the data are both 100. Later
  • 00:10:25
    the number of classes will be the same as in the previous question, namely 8 because
  • 00:10:30
    the formula is 1 + 3.3 in the log of 100 then we determine the length of
  • 00:10:37
    the class. For the third stage, then the length of the class is the range, namely
  • 00:10:42
    65/ 8 8.125, we take 9, so we
  • 00:10:48
    round up too, so if that's all we have to do, bro, make
  • 00:10:53
    the class score from 30 to 38. Yes, you want it to be from 31 to 39, you can want it to be
  • 00:11:00
    from 32 to 40, the important thing is, OK? The minimum value is in the
  • 00:11:05
    first class and the maximum value is in the last class. If we look at
  • 00:11:10
    this, just add 9, then add 9 to determine
  • 00:11:15
    the lower limit and upper limit so that it is easy. If it is already done, we just need to enter
  • 00:11:21
    78 into it. where 78 goes here, 48 goes where 48 goes here and
  • 00:11:27
    so on, later we will get the data like this. Well yes, class 30 to 38
  • 00:11:34
    there are three data 4 39 to 47 Brother has 4 data 48 to 51 there are 6, there are 11,
  • 00:11:43
    then here if we calculate 5 10 15 20 25 26, we have 5 10 15 20 22,
  • 00:11:52
    this is also 22 and what we have here is 6. So, to check whether you
  • 00:11:56
    are correct or not, you just have to add them up. Yes, the number of these frequencies,
  • 00:12:00
    if we add them up, will be the same as There's a lot of data. If we add this all
  • 00:12:04
    up it's 100, so that's something like that for this video,
  • 00:12:08
    how can we make a frequency distribution table from single data
  • 00:12:14
    to group data, thank you friends who have
  • 00:12:18
    watched this video. Happy learning. friends, feel this video is useful.
  • 00:12:22
    Come on, share it with other friends so that more people can
  • 00:12:25
    feel the benefits of the legurless channel. don't forget to like the video, subscribe to
  • 00:12:29
    the legurless channel and also follow legurless's Instagram. Thank you
  • 00:12:32
    , see you in the next videos
Tags
  • tabel distribusi frekuensi
  • data kelompok
  • batas kelas
  • panjang kelas
  • nilai tengah
  • frekuensi
  • latihan
  • keanggotaan saluran
  • Legurless
  • statistik