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प्रश्न
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
- Find the mode and median of this data.
- Is there more than one mode?
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उत्तर
The weights of 15 students are
38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47
Arranging these weights in ascending order,
32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50
i) Mode of a given data is that value of observation which occurs for the most number of times and the median of the given data is the middle observation when the data is arranged in an ascending or descending order.
As there are 15 terms in the given data, therefore, the median of this data will be the 8th observation.
Hence, median = 40
Also, it can be observed that 38 and 43 both occur 3 times (i.e., maximum number of times).
Therefore, mode of this data = 38 and 43
ii) Yes, there are 2 modes for the given data.
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संबंधित प्रश्न
Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14
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40, 35, 42, 43, 37, 35, 37, 37, 42, 37.
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| Height (cm) | 37 | 38 | 39 | 40 | 41 |
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Find the mode of the given data:
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Observe the data and answer the questions that follow:
16, 15, 16, 16, 8, 15, 17
- Which data value can be put in the data so that the mode remains the same?
- At least how many and which value(s) must be put in to change the mode to 15?
- What is the least number of data values that must be put in to change the mode to 17? Name them.
