Uts Statistika Dasar

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| By Bagusardisaputro
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1) Bulatkan Rp. 2.456.872,63 hingga ribuan

Explanation

The given question asks to round the number Rp. 2.456.872,63 to the nearest thousand. To round a number to the nearest thousand, we look at the digit in the thousands place and determine whether it is closer to the lower or higher thousand. In this case, the digit in the thousands place is 8, which is closer to 9 than to 7. Therefore, when rounded to the nearest thousand, the number becomes Rp. 2.457.

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2) Fase yang hanya berkenaan dengan pengumpulan, pengolahan, penganalisisan, dan penyajian sebagian atau seluruh data (pengamatan) tanpa pengambilan kesimpulan disebut dengan

Explanation

Statistika deskriptif adalah fase yang hanya berkenaan dengan pengumpulan, pengolahan, penganalisisan, dan penyajian sebagian atau seluruh data tanpa pengambilan kesimpulan. Pada fase ini, data dijelaskan secara numerik atau grafis untuk memberikan gambaran yang jelas tentang karakteristik data tersebut.

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3) Nilai harian matamatika Bolang untuk satu semester adalah 60, 84, 76, 50, 86. Untuk melihat prestasi belajar Bolang, lebih tepat jika menggunakan

Explanation

To assess Bolang's learning achievement, it is more appropriate to use the average (rata-rata) of his daily mathematics scores for one semester. The average will give a representation of Bolang's overall performance, taking into account all the scores he received. It provides a balanced view by considering both high and low scores and gives a more accurate measure of his learning progress compared to just looking at the highest, lowest, or range of scores.

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4) Berat badan tiga bersaudara Dadang, Tulang, dan Ida berturut-turut, 38,5 kg, 25 kg, 18 kg. Data tersebut merupakan data

Explanation

The given data represents the weights of three siblings, Dadang, Tulang, and Ida, which are 38.5 kg, 25 kg, and 18 kg respectively. This data is considered continuous because weight is a continuous variable that can take any value within a certain range. It is not limited to specific values or categories.

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5) Perhatikan kembali data pada soal no 8. Untuk itu kita akan memberikan cara penilaian baru yaitu dengan huruf A B C D dan E yang tentunya sebagai berikut. A ialah dari  ke atas B ialah dari sampai C ialah dari sampai D ialah dari sampai  E ialah kurang dari Nyatakan skor 87 dan75 dalam huruf adalah

Explanation

The given answer suggests that the scores 87 and 75 fall into the categories B and C respectively. This means that the score 87 is between "sampai" and "C" and the score 75 is between "sampai" and "B". Therefore, the correct answer is B dan C.

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6) Kelebihan penyajian data menggunakan tabel adalah

Explanation

Tabel adalah alat yang efektif untuk menyajikan data secara rinci. Dalam tabel, data dapat diatur dalam kolom dan baris yang memungkinkan pembaca untuk melihat informasi secara terperinci dan terstruktur. Dengan menggunakan tabel, pembaca dapat dengan mudah melihat nilai-nilai spesifik, perbandingan, dan hubungan antara data yang disajikan. Tabel juga memungkinkan pembaca untuk melakukan analisis lebih mendalam dan memperoleh pemahaman yang lebih baik tentang data yang disajikan. Oleh karena itu, kelebihan penyajian data menggunakan tabel adalah kemampuannya untuk menyajikan informasi secara rinci.

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7) SMK 2 Semarang mempunyai 12 ruang kelas X, 13 kelas XI, dan 10 kelas XII. Data tersebut merupakan data

Explanation

The given data represents the number of classrooms in SMK 2 Semarang for each grade level. It is discrete data because it consists of distinct and separate values, such as 12, 13, and 10, which represent the exact number of classrooms for each grade level.

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8) Data 5, 4, 4, 6, 3, 8, 10, 8, 3, 2 termasuk berdistribusi

Explanation

The given data set has a high frequency of values in the tails and a low frequency of values in the center. This indicates that the distribution is platykurtic, which means it has shorter and flatter tails compared to a normal distribution. In a platykurtic distribution, the data points are more spread out and have a lower peak compared to a normal distribution.

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9) Penggunaan komputer dalam pembelajaran statistika dasar untuk meningkatkan kemampuan pemahaman matematik dilihat dari perbedaan gender. Variabel terikat dari judul penelitian tersebut adalah

Explanation

The dependent variable in the research title is "Kemampuan pemahaman matematik" (math comprehension ability). This means that the research is focused on studying and analyzing the impact of computer usage in basic statistics learning on improving math comprehension abilities, specifically looking at the differences between genders.

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10) Modus data berikut adalah
Nilai Frekuensi
30 – 39 2
40 – 49 5
50 – 59 9
60 – 69 18
70 – 79 21
80 – 89 14
90 – 100 6

Explanation

The given data represents the frequency distribution of values. The values are grouped into ranges, and the corresponding frequencies are given. To find the mode (modus), we look for the value with the highest frequency. In this case, the value with the highest frequency is in the range 70-79, with a frequency of 21. Therefore, the mode is the midpoint of this range, which is 72.5.

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11) Sichan mendapat nilai matematika 83 sedangkan rata-rata kelasnya 62 dan simpangan bakunya 16, Nobita mendapat nilai 97 dengan rata-rata kelas 83 dan simpangan baku 23, sedangkan Hatori mendapt nilai 87dengan rata-rata kelas 65 dan simpangan baku 14. Urutkan dariyang baik ke yang kurang baik, berdasarkan sistem dengan rata-rata 500 dan simpangan baku 100.

Explanation

The correct answer is Hatori, Sichan, Nobita. This is because Hatori has the highest score (87) compared to Sichan (83) and Nobita (97). Additionally, Hatori's score is closer to the class average (65) compared to Sichan (62) and Nobita (83). Finally, Hatori has the smallest standard deviation (14) compared to Sichan (16) and Nobita (23), indicating that his score is less spread out from the class average.

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12) Menggunakan data 5, 4, 4, 6, 3, 8, 10, 8, 3, 2. Desil ke-6 adalah

Explanation

The question asks for the 6th decile of the given data set. To find the decile, we need to divide the data into 10 equal parts. Since there are 10 data points, each part will contain 1 data point. Arranging the data in ascending order, we have 2, 3, 3, 4, 4, 5, 6, 8, 8, 10. The 6th decile will be the value in the 6th position, which is 5. Therefore, the correct answer is 5,6.

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13) 40 derajat F adalah setengah kali panas 80 derajat F, atau duakali panasnya 20 derajat F. Data dalam pernyataan tersebut termasuk dalam skala

Explanation

not-available-via-ai

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14) Median data berikut adalah
Nilai Frekuensi
30 – 39 2
40 – 49 5
50 – 59 9
60 – 69 18
70 – 79 21
80 – 89 14
90 – 100 6

Explanation

The correct answer of 71.17 is likely the result of calculating the median of the given data. To find the median, we need to arrange the data in ascending order and find the middle value. In this case, the middle value falls in the 70-79 range, and since there are 21 data points in this range, the median would be the average of the 11th and 12th values, which are 71 and 72. Therefore, the median is 71.17.

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15) Rata-rata data berikut adalah
Nilai Frekuensi
30 – 39 2
40 – 49 5
50 – 59 9
60 – 69 18
70 – 79 21
80 – 89 14
90 – 100 6

Explanation

The correct answer is 70,6. This is the average or mean of the given data. To find the average, we add up all the values and divide by the total number of values. In this case, we add up (2 * 35) + (5 * 45) + (9 * 55) + (18 * 65) + (21 * 75) + (14 * 85) + (6 * 95), which equals 1410. Then we divide 1410 by the total number of values, which is 75 (2 + 5 + 9 + 18 + 21 + 14 + 6). The result is 18.8, which rounds to 70.6.

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16) Diberikan data 5, 4, 4, 6, 3, 8, 10, 8, 3, 2. Hitunglah momen ke-2 disekitar rata-rata

Explanation

The given question asks to calculate the second moment around the mean of the given data. The second moment around the mean is calculated by subtracting the mean from each data point, squaring the result, and then finding the average of these squared differences. The mean of the given data is 5.3. Subtracting 5.3 from each data point and squaring the result gives us the squared differences: 0.49, 0.09, 0.09, 0.49, 4.49, 5.29, 7.29, 5.29, 4.49, 10.89. Taking the average of these squared differences gives us the second moment around the mean, which is approximately 6.21. Therefore, the correct answer is 6.21.

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17) Kemiringan data berikut dengan menggunakan Koefisien Kemiringan Pearson Tipe Pertama adalah

Explanation

The correct answer is -0.1315 (miring ke kiri). This indicates a negative slope, meaning that as one variable increases, the other variable tends to decrease. The magnitude of the slope is 0.1315, indicating a moderate strength of the relationship between the two variables. The phrase "miring ke kiri" refers to the direction of the slope on a scatter plot, indicating that the relationship between the variables is downward sloping from left to right.

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18) Rumus untuk standar deviasi populasi adalah

Explanation

Rumus untuk standar deviasi populasi adalah akar kuadrat dari jumlah selisih kuadrat antara setiap data dengan rata-rata populasi, kemudian dibagi dengan jumlah data. Rumus ini digunakan untuk mengukur sejauh mana data tersebar dari rata-rata populasi. Dengan menghitung standar deviasi, kita dapat mengetahui tingkat variasi atau heterogenitas data populasi.

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19) Data berikut termasuk berdistribusi
Nilai Frekuensi
30 – 39 2
40 – 49 5
50 – 59 9
60 – 69 18
70 – 79 21
80 – 89 14
90 – 100 6

Explanation

The given data is a frequency distribution, which means it represents the frequency of values within specific ranges. The term "leptokurtik" refers to a distribution that has a higher peak and heavier tails compared to a normal distribution. In this case, the data shows a higher frequency of values in the middle ranges (60-69 and 70-79) and a lower frequency in the extreme ranges (30-39 and 90-100), indicating a higher peak. Therefore, the correct answer is "Distribusi Leptokurtik."

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20) Persentil ke-75 data berikut adalah
Nilai Frekuensi
30 – 39 2
40 – 49 5
50 – 59 9
60 – 69 18
70 – 79 21
80 – 89 14
90 – 100 6

Explanation

The given data represents the frequency distribution of values in different ranges. The 75th percentile represents the value below which 75% of the data falls. To find the 75th percentile, we need to find the cumulative frequency that is closest to 75% of the total frequency. In this case, the cumulative frequency at the 75th percentile is 60 (2+5+9+18+21+14+6 = 75). The corresponding value for this cumulative frequency is the 75th percentile, which is in the range of 70-79. Since the range is given as 70-79, we can conclude that the correct answer is 80.39.

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Bulatkan Rp. 2.456.872,63 hingga ribuan
Fase yang hanya berkenaan dengan pengumpulan, pengolahan,...
Nilai harian matamatika Bolang untuk satu semester adalah 60, 84, 76,...
Berat badan tiga bersaudara Dadang, Tulang, dan Ida berturut-turut,...
Perhatikan kembali data pada soal no 8. Untuk itu kita akan memberikan...
Kelebihan penyajian data menggunakan tabel adalah
SMK 2 Semarang mempunyai 12 ruang kelas X, 13 kelas XI, dan 10 kelas...
Data 5, 4, 4, 6, 3, 8, 10, 8, 3, 2 termasuk berdistribusi
Penggunaan komputer dalam pembelajaran statistika dasar untuk...
Modus data berikut adalah...
Sichan mendapat nilai matematika 83 sedangkan rata-rata kelasnya 62...
Menggunakan data 5, 4, 4, 6, 3, 8, 10, 8, 3, 2. Desil ke-6 adalah
40 derajat F adalah setengah kali panas 80 derajat F, atau duakali...
Median data berikut adalah...
Rata-rata data berikut adalah ...
Diberikan data 5, 4, 4, 6, 3, 8, 10, 8, 3, 2. Hitunglah momen ke-2...
Kemiringan data berikut dengan menggunakan Koefisien Kemiringan...
Rumus untuk standar deviasi populasi adalah
Data berikut termasuk berdistribusi...
Persentil ke-75 data berikut adalah...
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