3. The weights (in kg.) of 15 students of a class are: 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47 (i) Find the mode and median of this data. (ii) Is there more than one mode?
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Answers & Comments
Answer:
Sure, I can help you with that.
**(i)**
The mode of a set of data is the term that appears most often. In this set of data, the terms that appear most often are 38 and 43. They both appear 4 times, so the mode of this data is 38 and 43.
The median of a set of data is the term that falls in the middle when the data is arranged in order from least to greatest. In this set of data, when the data is arranged in order from least to greatest, the 8th term is 41.5. So, the median of this data is 41.5.
**(ii)**
Yes, there is more than one mode in this data. The modes are 38 and 43.
Here is the steps on how to calculate the mode and median of the data:
1. **Arrange the data in order from least to greatest.**
```
32, 35, 36, 37, 38, 38, 40, 41.5, 43, 43, 45, 47, 50
```
2. **Count the number of times each term appears in the data.**
```
Term | Frequency
------- | --------
38 | 4
43 | 4
37 | 1
40 | 1
41.5 | 1
45 | 1
50 | 1
```
3. **The mode is the term that appears most often.** In this case, the modes are 38 and 43.
4. **The median is the term that falls in the middle when the data is arranged in order from least to greatest.** In this case, the median is 41.5.
I hope this helps! Let me know if you have any other questions.