1.
Ragam (varians) dari data 4 5 5 5 6 6 6 6 7 7 7 8 adalah
Correct Answer
B. 7/6
Explanation
The given data set has 12 numbers. The mode of a data set is the value that appears most frequently. In this case, the number 6 appears 4 times, which is more than any other number. Therefore, the mode of the data set is 6. The answer 7/6 is incorrect and does not represent any meaningful calculation or interpretation of the given data.
2.
Simpangan kuartil dari data 4, 2, 5, 3, 7, 5, 4, 7, 8, 7, 9, 2, 7, 8, 6 adalah…
Correct Answer
C. 3/2
Explanation
The correct answer is 3/2. The interquartile range is a measure of the spread of a dataset and is calculated by finding the difference between the upper quartile (Q3) and the lower quartile (Q1). In this case, the lower quartile is 4 and the upper quartile is 7. Therefore, the interquartile range is 7 - 4 = 3. Since the interquartile range is an odd number, the simpangan kuartil is the median of the dataset, which is 3/2.
3.
Rataan hitung nilai ulangan Matematika 10 siswa adalah
6,25. Jika nilai Estin ditambahkan rataannya menjadi 6,4.
Nilai estin adalah …
Correct Answer
B. 7,9
Explanation
The average score of the 10 students in the Math exam is 6.25. If Estin's score is added to the average, the new average becomes 6.4. Therefore, Estin's score must be higher than the initial average of 6.25. The only option that is higher than 6.25 is 7.9, so that is the correct answer.
4.
Simpangan baku data 2, 4, 4, 5, 6, 6, 7, 8, 9, 9 adalah …
Correct Answer
D. 2/5V30
Explanation
The correct answer is 2/5V30. This answer represents the standard deviation of the given data set. The formula for calculating the standard deviation involves finding the square root of the variance, which is the average of the squared differences between each data point and the mean. In this case, the standard deviation is 2/5 multiplied by the square root of 30.
5.
Jangkauan antar kuartil data 7, 6, 5, 6, 7, 5, 7, 8, 7, 6, 5,
8, 9, 7, 6, 9, 6, 5 adalah
Correct Answer
B. 1
Explanation
The given data set is: 7, 6, 5, 6, 7, 5, 7, 8, 7, 6, 5, 8, 9, 7, 6, 9, 6, 5. To find the interquartile range, we need to first arrange the data set in ascending order: 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9. The lower quartile (Q1) is the median of the lower half of the data set, which is 6. The upper quartile (Q3) is the median of the upper half of the data set, which is 7. Therefore, the interquartile range is Q3 - Q1 = 7 - 6 = 1.
6.
Nilai Q_{1} dari 1, 4, 5, 12, 4, 20, 14, 4, 18, 10, 7 adlh
Correct Answer
E. 4
Explanation
The correct answer is 4 because Q1, or the first quartile, is the median of the lower half of the data set. In this case, the lower half of the data set is 1, 4, 5, and 12. When these numbers are arranged in ascending order, the median is 4. Therefore, the first quartile is 4.
7.
Simpangan rata-rata dari 76, 63, 95, 98, 80, 90, 77, 60, 57, 84, 78 adalah …
Correct Answer(s)
B. 10,36
C. 9,5
Explanation
The given answer is incorrect. The correct answer is 10,36. To find the average deviation, we first calculate the mean of the given numbers, which is 78. We then subtract each number from the mean and take the absolute value of the result. The sum of these absolute differences is 1036. Dividing this sum by the total number of values (11), we get the average deviation of 10,36.
8.
1. Nilai Q_{3} dari data 1, 3, 5, 6, 6, 8, 8, 9, 10, 12 adalah …
Correct Answer
E. 9
Explanation
The value of Q3 (the third quartile) is the median of the upper half of the data set. In this case, the upper half of the data set is 8, 9, 10, and 12. The median of this upper half is 9, so the correct answer is 9.
9.
1. Rataan nilai tes Matematika dari 40 siswa adalah 5,1. Jika seorang siswa tidak disertakan dalam perhitungan maka nilai rataannya menjadi 5,0. Nilai siswa itu adalah …
Correct Answer
B. 9
Explanation
The average score of 40 students in a Math test is 5.1. If one student is excluded from the calculation, the average becomes 5.0. Therefore, the score of the excluded student must be higher than 5.0 to bring down the average. Among the given options, the only score higher than 5.0 is 9.
10.
1. Rataan hitung tes Matematika dari 10 siswa adalah 60 dan jika digabung dengan 6 orang siswa lain rataannya 67,5. Nilai rataan hitung 6 siswa tersebut adalah …
Correct Answer
D. 80
Explanation
The average score of the 10 students is 60. When 6 more students are added, the new average becomes 67.5. This means that the total score of the 10 students is 600 (10 * 60) and the total score of the additional 6 students is 405 (6 * 67.5). To find the average score of the 6 students, we subtract the total score of the 10 students from the total score of all 16 students (600 + 405 = 1005) and divide it by 6. Therefore, the average score of the 6 students is 1005/6 = 80.