Podcast
Questions and Answers
What is the total surface area of a solid hemisphere with radius $r$?
What is the total surface area of a solid hemisphere with radius $r$?
What is the median class of the following frequency table?
Class-interval
Frequency
0-10
2
10-20
8
20-30
12
30-40
18
40-50
10
What is the median class of the following frequency table?
| Class-interval | Frequency |
|---|---|
| 0-10 | 2 |
| 10-20 | 8 |
| 20-30 | 12 |
| 30-40 | 18 |
| 40-50 | 10 |
The mean and median of a frequency table are 30 and 35 respectively. What is the approximate mode?
The mean and median of a frequency table are 30 and 35 respectively. What is the approximate mode?
If an event occurs with certainty, what is its probability?
If an event occurs with certainty, what is its probability?
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What is the probability of an impossible event?
What is the probability of an impossible event?
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Study Notes
Total Surface Area of a Solid Hemisphere
- The total surface area of a solid hemisphere with radius 'r' is 3πr².
Median Class
- To find the median class, first arrange the class intervals in ascending order.
- The class interval with the cumulative frequency greater than or equal to half of the total frequency is the median class.
Mean and Median
- If the mean and median of a frequency table are 30 and 35, respectively, then the mode will be 48.
Probability of a Certain Event
- If an event is certain to occur, its probability is 1.
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Description
This quiz covers key concepts in mathematics, including the total surface area of a solid hemisphere, the identification of the median class, and the relationships between mean, median, and mode. Additionally, it explores the probability of certain events. Test your knowledge on these fundamental mathematical principles!
