Mengingat Statistik Hal 79-84 Bab 3 STATISTIK Kelas 11 SMA Kurikulum Merdeka

Summary

This video lesson focuses on key topics in statistics and mathematics for high school students. It covers coordinate geometry, where students identify and plot points on the Cartesian plane. The lesson also explores linear equations, including graphing and solving for unknown values. Practical applications include calculating the cost of an internet subscription using an equation and determining the volume of water in a leaking bucket over time. Additionally, students learn to calculate the mean and variance of a data set. The lesson is designed to help students understand and apply mathematical concepts in real-world scenarios.

Takeaways

• 😀 The video is focused on teaching Statistics, specifically for grade 11 students in the SMA/SMK curriculum.
• 😀 The script covers the basics of plotting coordinates on the Cartesian plane, explaining examples with different points like (1,-1), (2,3), (7,1), and more.
• 😀 The script explains how to determine the y-value when x = 0 and the x-value when y = 5 using a given linear equation.
• 😀 It demonstrates how to calculate the total cost for internet subscription based on a fixed installation fee and monthly charges, giving examples for the first and 12th month.
• 😀 The video outlines how Rangga can create a mathematical equation to calculate the total cost based on the number of months subscribed, i.e., y = 250,000x + 500,000.
• 😀 A sample calculation is provided to determine how much Rangga will pay for internet subscription if he subscribes for 24 months, leading to a total cost of Rp 6.5 million.
• 😀 Another example illustrates how to find the number of months Rangga can subscribe if he spends a total of Rp 2 million, concluding that the subscription lasts 6 months.
• 😀 The script explains a linear equation related to a leaking bucket, where y represents the volume of water and x represents time in minutes.
• 😀 The video explains the meaning behind the terms '1' and '0.02x' in the equation y = 1 - 0.02x, showing how they relate to the volume of water and time, respectively.
• 😀 It also calculates the remaining volume of water after 5 minutes and concludes that the water will run out after 50 minutes based on the given equation.
• 😀 The script covers basic statistical concepts like mean and variance, using the formulae for calculating both from a given data set. For example, the mean is calculated as 8 and the variance as 7.

Q & A

What are the coordinates of point A on the Cartesian plane?

The coordinates of point A are (1, -1), where x = 1 and y = -1.

How do you determine the y-value when x = 0 for a straight line?

To determine the y-value when x = 0, you look for the point where the line intersects the y-axis. From the script, when x = 0, y = 1.

What is the total cost Rangga must pay in the first month of his internet subscription?

In the first month, Rangga must pay a total of Rp750,000, which includes the one-time installation fee of Rp500,000 and the monthly subscription cost of Rp250,000.

How can Rangga calculate his total cost after 12 months?

Rangga can calculate his total cost after 12 months by adding the installation fee (Rp500,000) to the monthly subscription cost for 12 months (12 * Rp250,000). This gives a total of Rp3,500,000.

What is the equation that Rangga can use to calculate his total internet subscription cost based on the number of months?

Rangga can use the equation y = 250,000x + 500,000, where y is the total cost and x is the number of months. The 250,000 represents the monthly subscription fee, and 500,000 is the one-time installation fee.

If Rangga subscribes for 24 months, what will his total cost be?

Rangga’s total cost for 24 months can be calculated by substituting x = 24 into the equation y = 250,000x + 500,000. This gives y = 250,000 * 24 + 500,000 = Rp6,500,000.

How can Rangga find out how many months he has been subscribed if he has paid Rp2,000,000?

Rangga can substitute y = 2,000,000 into the equation y = 250,000x + 500,000, then solve for x. After simplifying, the equation becomes x = 6, meaning Rangga has been subscribed for 6 months.

What does the 1 in the equation y = 1 - 0.02x represent in the context of the leaking bucket?

The 1 represents the initial volume of water in the bucket, in liters, before any time has passed.

If 5 minutes have passed, what is the remaining volume of water in the bucket?

After 5 minutes, the remaining volume of water is 0.9 liters. This is calculated by substituting x = 5 into the equation y = 1 - 0.02x, resulting in y = 1 - 0.1 = 0.9 liters.

How long will it take for all the water to leak out of the bucket?

The water will be completely gone after 50 minutes. This is found by setting y = 0 in the equation y = 1 - 0.02x and solving for x, which gives x = 50 minutes.