LATIHAN 7.1 NO 1, 2 DIAGRAM BATANG HISTOGRAM STATISTIKA MATEMATIKA SMA KELAS 10 #kurikulummerdeka

Summary

This video explains how to analyze a statistical problem involving the 1998 Olympic cross-country event. The presenter guides viewers through counting the athletes and countries, identifying the gold medalist from Norway, and categorizing the athletes' finishing times into specific intervals. The focus is on constructing a frequency table and histogram to illustrate time distribution and answering key questions about the event. By leveraging these statistical tools, the video demonstrates how to quickly analyze and interpret data, offering clear insights into time performance and frequency of athletes' finishing times.

Takeaways

• 😀 The bar diagram illustrates the times taken by athletes in the 1998 Olympic 10 km cross-country event.
• 😀 There are 25 athletes from 20 countries participating in the event, as shown by the 25 bars in the diagram.
• 😀 The gold medal was won by the athlete from Norway who completed the race in the shortest time, approximately 26-27 minutes.
• 😀 A key takeaway is that reorganizing the data into a histogram makes it easier to answer questions about the number of athletes in specific time intervals.
• 😀 The frequency of athletes finishing within certain time intervals was carefully calculated, providing a clear view of the results.
• 😀 A histogram allows for quick interpretation of data, showing which time intervals had the most and least athletes.
• 😀 From the histogram, it was found that most athletes finished in under 31 minutes, with the 29-30 minute interval having the highest frequency of athletes.
• 😀 The histogram helps to quickly answer questions like how many athletes finished between 31 and 33 minutes (5 athletes).
• 😀 In total, the histogram shows there was only one athlete who finished the race in over 45 minutes.
• 😀 The correction of the table and histogram (such as changing intervals for clarity) ensures accuracy in the data analysis.

Q & A

How many athletes participated in the 1998 Olympics cross-country event?

There were 25 athletes who participated in the 1998 Olympics cross-country event.

How many countries were represented in the cross-country event?

A total of 20 countries were represented in the cross-country event.

Which country won the gold medal in the cross-country event?

The gold medal was won by the athlete from Norway, who had the fastest time.

What was the approximate time of the gold medal winner?

The approximate time for the gold medal winner from Norway was around 26 to 27 minutes.

How many athletes finished the race in the time interval between 31 and 33 minutes?

There were 5 athletes who finished the race in the time interval between 31 and 33 minutes.

What is the advantage of rearranging the bar chart alphabetically by country name?

Rearranging the bar chart alphabetically by country name helps in quickly identifying how many athletes came from each country, making data analysis more efficient.

How can a histogram be useful in answering statistical questions about athletes' race times?

A histogram allows for quick visualization of how many athletes fall within specific time intervals, making it easier to answer questions about the distribution of race times without manually counting individual data points.

What is the frequency of athletes finishing in the time interval of 27 to 28:59 minutes?

The frequency of athletes finishing in the time interval of 27 to 28:59 minutes is 3 athletes.

What is the highest number of athletes in a single time interval, and which interval is it?

The highest number of athletes (11 athletes) finished the race in the time interval between 29 and 30:59 minutes.

What can be inferred about the distribution of race times based on the histogram?

The histogram shows that most athletes finished the race in under 31 minutes, with only a few athletes finishing above 45 minutes. This suggests that the majority of athletes were relatively fast.