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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
The mode is always one of the numbers in a data.
In the following table, the information is given about the number of families and the siblings in the families less than 14 years of age. Find the mode of the data.
| No. of siblings | 1 | 2 | 3 | 4 |
| Families | 15 | 25 | 5 | 5 |
Find the mode of the following data.
| Marks | 35 | 36 | 37 | 38 | 39 | 40 |
| No. of Student | 09 | 07 | 09 | 04 | 04 | 02 |
Find the mean and the mode for the following data:
| Term | 18 | 22 | 23 | 30 | 34 | 38 |
| Frequency | 3 | 5 | 10 | 2 | 8 | 2 |
Find the mode of:
| Height (cm) | 37 | 38 | 39 | 40 | 41 |
| Number of plants | 46 | 89 | 93 | 90 | 153 |
Find the mode of the following data.
2, 4, 5, 2, 6, 7, 2, 7, 5, 4, 8, 6, 10, 3, 2, 4, 2
Find the mode of the following data.
12, 14, 12, 16, 15, 13, 14, 18, 19, 12, 14, 15, 16, 15, 16, 16, 15, 17, 13, 16, 16, 15, 15, 13, 15, 17, 15, 14, 15, 13, 15, 14.
Find the mode of 2, 5, 5, 1, 3, 2, 2, 1, 3, 5, 3
A car seller collects the following data of cars sold in his shop.
| Colour of Car | Number of Cars Sold |
| Red | 15 |
| Black | 20 |
| White | 17 |
| Silver | 12 |
| Others | 9 |
- Which colour of the car is most liked?
- Which measure of central tendency was used in (a)?
Observe the data and answer the questions that follow:
16, 15, 16, 16, 8, 15, 17
What is the least number of data values that must be put in to change the mode to 17? Name them.
