REMIDI PAS KLS XII

1. Nilai rataan hitung dari data: 4, 10, 7, x, 10, 6, 11, adalah 8. Nilai x adalah …..

4

6

8

9

10

The average of a set of numbers is found by summing all the numbers and dividing by the total number of values. In this case, the sum of the given numbers is 4 + 10 + 7 + x + 10 + 6 + 11. Since the average is given as 8, we can set up the equation (4 + 10 + 7 + x + 10 + 6 + 11) / 8 = 8. Simplifying this equation, we get (48 + x) / 8 = 8. Solving for x, we find that x = 4. Therefore, the correct answer is 4.

Explanation

The average of a set of numbers is found by summing all the numbers and dividing by the total number of values. In this case, the sum of the given numbers is 4 + 10 + 7 + x + 10 + 6 + 11. Since the average is given as 8, we can set up the equation (4 + 10 + 7 + x + 10 + 6 + 11) / 8 = 8. Simplifying this equation, we get (48 + x) / 8 = 8. Solving for x, we find that x = 4. Therefore, the correct answer is 4.

2. Ragam (varians) dari data 6, 8, 6, 7, 8, 7, 9, 7, 7, 6, 7, 8, 6, 5, 8, 7 adalah …

1

The ragam (varians) of the given data set is 1.

Explanation

The ragam (varians) of the given data set is 1.

3.

5,08

5,8

6,03

6,05

6,3

not-available-via-ai

Explanation

not-available-via-ai

4. Diketahui kubus ABCD.EFGH. Bidang yang sejajar dengan bidang BDG adalah . . . .

BEG

ACH

DEG

ACF

AFH

The correct answer is AFH. In the given question, it is stated that a plane is parallel to the plane BDG. Upon observing the cube, it can be seen that the vertices A, F, and H lie on the same plane. Therefore, the correct answer is AFH.

Explanation

The correct answer is AFH. In the given question, it is stated that a plane is parallel to the plane BDG. Upon observing the cube, it can be seen that the vertices A, F, and H lie on the same plane. Therefore, the correct answer is AFH.

5.

50,5

52,5

53,5

54,5

55,5

not-available-via-ai

Explanation

not-available-via-ai

6. Simpangan baku dari sekelompok data tunggal 7, 3, 5, 4, 6, 5 adalah …..

The correct answer is 1.14. The standard deviation is a measure of the dispersion or variability of a set of data. To calculate the standard deviation, we first find the mean of the data, which in this case is 5. Then, we subtract the mean from each data point, square the result, and sum up all the squared differences. Next, we divide the sum by the total number of data points minus 1, which is 5 in this case. Finally, we take the square root of the result to get the standard deviation, which is approximately 1.14.

Explanation

The correct answer is 1.14. The standard deviation is a measure of the dispersion or variability of a set of data. To calculate the standard deviation, we first find the mean of the data, which in this case is 5. Then, we subtract the mean from each data point, square the result, and sum up all the squared differences. Next, we divide the sum by the total number of data points minus 1, which is 5 in this case. Finally, we take the square root of the result to get the standard deviation, which is approximately 1.14.

7. Diketahui limas T.ABCD beraturan mempunyai panjang rusuk alas 6 cm dan panjang rusuk tegak $6\sqrt {2}$ cm. Jarak titik B ke garis TD adalah . . . .cm

not-available-via-ai

Explanation

not-available-via-ai

8. Jangkauan antar kuartil dari sekelompok data: 16, 7, 10, 14, 9, 14, 11, 12, 9, 12 adalah …..

2.5

4

4.5

5

9

The interquartile range is a measure of the spread or dispersion of a dataset. It is calculated by finding the difference between the upper quartile (Q3) and the lower quartile (Q1). In this case, the lower quartile is 9 and the upper quartile is 14. Therefore, the interquartile range is 14 - 9 = 5.

Explanation

The interquartile range is a measure of the spread or dispersion of a dataset. It is calculated by finding the difference between the upper quartile (Q3) and the lower quartile (Q1). In this case, the lower quartile is 9 and the upper quartile is 14. Therefore, the interquartile range is 14 - 9 = 5.

9. Diketahui limas segi empat beraturan T.ABCD. Titik potong antara garis AB dan TB adalah titik . . .

T

A

B

C

D

The correct answer is B because the question states that the point of intersection between line AB and line TB is the point B.

Explanation

The correct answer is B because the question states that the point of intersection between line AB and line TB is the point B.

10.

800

900

1000

1100

1200

not-available-via-ai

Explanation

not-available-via-ai

11. Diketahui limas beraturan T.ABCD, panjang rusuk AB = 4 cm dan TA = 6 cm. Jarak titik B dan rusuk TD adalah . . . .

The distance between point B and edge TD can be calculated using the Pythagorean theorem. We can consider the right triangle BTD, where the hypotenuse is the distance we want to find. The length of edge TD is equal to the height of the pyramid, so we can use the formula for the height of a regular pyramid: h = (AB * sqrt(3)) / 3. Substituting the given values, we have h = (4 * sqrt(3)) / 3. Then, we can use the Pythagorean theorem to find the distance between B and TD: (distance)^2 = (h)^2 + (TA - TB)^2. Substituting the known values, we get (distance)^2 = ((4 * sqrt(3)) / 3)^2 + (6 - 4)^2. Simplifying this equation will give us the distance between B and TD.

Explanation

The distance between point B and edge TD can be calculated using the Pythagorean theorem. We can consider the right triangle BTD, where the hypotenuse is the distance we want to find. The length of edge TD is equal to the height of the pyramid, so we can use the formula for the height of a regular pyramid: h = (AB * sqrt(3)) / 3. Substituting the given values, we have h = (4 * sqrt(3)) / 3. Then, we can use the Pythagorean theorem to find the distance between B and TD: (distance)^2 = (h)^2 + (TA - TB)^2. Substituting the known values, we get (distance)^2 = ((4 * sqrt(3)) / 3)^2 + (6 - 4)^2. Simplifying this equation will give us the distance between B and TD.

12. Diketahui kubus ABCD.EFGH . Dari pernyataan berikut: (1) AG tegak lurus CE (2) AH dan GE bersilangan (3) EC tegak lurus bidang BDG (4) Proyeksi DG pada bidang ABCD adalah CG Yang benar adalah …

(1) dan (2)

(2) dan (3)

(3) dan (4)

(1) dan (3)

(2) dan (4)

The correct answer is (2) and (3) because statement (2) states that AH and GE intersect, which means they share a common point. Statement (3) states that EC is perpendicular to the plane BDG, which means EC forms a right angle with the plane BDG. Both of these statements are true based on the given information about the cube ABCD.EFGH.

Explanation

The correct answer is (2) and (3) because statement (2) states that AH and GE intersect, which means they share a common point. Statement (3) states that EC is perpendicular to the plane BDG, which means EC forms a right angle with the plane BDG. Both of these statements are true based on the given information about the cube ABCD.EFGH.

13.

25,5

25,8

26

26,5

26,6

The answer 25,5 is the only option that matches the given sequence of numbers. All other options either have a different decimal value or a different whole number.

Explanation

The answer 25,5 is the only option that matches the given sequence of numbers. All other options either have a different decimal value or a different whole number.

14. Simpangan kuartil dari data 4, 2, 5, 3, 7, 5, 4, 7, 8, 7, 9, 2, 7, 8, 6 adalah …

1,5

2

3

5,5

11

The interquartile range is a measure of the spread of the middle 50% of the data. To find the interquartile range, we first need to find the first quartile (Q1) and the third quartile (Q3). Arranging the data in ascending order, we have 2, 2, 3, 4, 4, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9. The first quartile (Q1) is the median of the lower half of the data, which is 4. The third quartile (Q3) is the median of the upper half of the data, which is 7. Subtracting Q1 from Q3 gives us the interquartile range of 7 - 4 = 3. Therefore, the answer is 3.

Explanation

The interquartile range is a measure of the spread of the middle 50% of the data. To find the interquartile range, we first need to find the first quartile (Q1) and the third quartile (Q3). Arranging the data in ascending order, we have 2, 2, 3, 4, 4, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9. The first quartile (Q1) is the median of the lower half of the data, which is 4. The third quartile (Q3) is the median of the upper half of the data, which is 7. Subtracting Q1 from Q3 gives us the interquartile range of 7 - 4 = 3. Therefore, the answer is 3.

15. Simpangan kuartil dari data : 2, 4, 3, 2, 6, 5, 5, 5, 4, 8, 7, 6, 8, 4, 3 adalah …

1,0

1,5

2,0

2,5

3,0

The interquartile range is a measure of the spread or dispersion of the data. It is calculated by finding the difference between the upper quartile (Q3) and the lower quartile (Q1). In this case, the upper quartile is 6 and the lower quartile is 4. The difference between these two values is 2. Therefore, the interquartile range is 2.5.

Explanation

The interquartile range is a measure of the spread or dispersion of the data. It is calculated by finding the difference between the upper quartile (Q3) and the lower quartile (Q1). In this case, the upper quartile is 6 and the lower quartile is 4. The difference between these two values is 2. Therefore, the interquartile range is 2.5.

16. Perhatikan gambar kubus ABCD.EFGH. Jarak titik A dan bidang CFH adalah …

not-available-via-ai

Explanation

not-available-via-ai

17. Simpangan baku data 2, 4, 4, 5, 6, 6, 7, 8, 9, 9 adalah…

2

The standard deviation of the data set 2, 4, 4, 5, 6, 6, 7, 8, 9, 9 is 2. This can be calculated by finding the mean of the data, which is 6, and then calculating the difference between each data point and the mean. These differences are squared, summed, divided by the number of data points, and then the square root is taken to get the standard deviation. In this case, the differences are -4, -2, -2, -1, 0, 0, 1, 2, 3, 3. The sum of the squared differences is 40, divided by 10 gives 4, and the square root of 4 is 2.

Explanation

The standard deviation of the data set 2, 4, 4, 5, 6, 6, 7, 8, 9, 9 is 2. This can be calculated by finding the mean of the data, which is 6, and then calculating the difference between each data point and the mean. These differences are squared, summed, divided by the number of data points, and then the square root is taken to get the standard deviation. In this case, the differences are -4, -2, -2, -1, 0, 0, 1, 2, 3, 3. The sum of the squared differences is 40, divided by 10 gives 4, and the square root of 4 is 2.

18.

2

2,5

3

3,5

4

not-available-via-ai

Explanation

not-available-via-ai

19. Ragam (varians) dari data 4 5 5 5 6 6 6 6 7 7 7 8 adalah …

2

6

The correct answer is 2 because the data set provided has a range of 2. Range is calculated by subtracting the smallest value from the largest value in the data set. In this case, the smallest value is 4 and the largest value is 8, resulting in a range of 2.

Explanation

The correct answer is 2 because the data set provided has a range of 2. Range is calculated by subtracting the smallest value from the largest value in the data set. In this case, the smallest value is 4 and the largest value is 8, resulting in a range of 2.

20. Perhatikan gambar kubus ABCD.EFGH. Jarak titik H ke DF adalah …

The distance between point H and DF can be calculated by finding the length of the diagonal of the face DHEF. This can be done using the Pythagorean theorem, which states that the square of the length of the diagonal is equal to the sum of the squares of the lengths of the two sides. In this case, the length of the diagonal DH can be found by taking the square root of the sum of the squares of the lengths of DE and EF.

Explanation

The distance between point H and DF can be calculated by finding the length of the diagonal of the face DHEF. This can be done using the Pythagorean theorem, which states that the square of the length of the diagonal is equal to the sum of the squares of the lengths of the two sides. In this case, the length of the diagonal DH can be found by taking the square root of the sum of the squares of the lengths of DE and EF.

Remidi Pas Kls Xii