Advertisements
Advertisements
Question
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?
Advertisements
Solution
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.
APPEARS IN
RELATED QUESTIONS
The run scored in a cricket match by 11 players is as follows:
6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15
Find the mean, mode and median of this data. Are the three same?
The weights of 10 students (in kg) are given below:
40, 35, 42, 43, 37, 35, 37, 37, 42, 37.
Find the mode of the data.
Find the mode of 5, 6, 9, 13, 6, 5, 6, 7, 6, 6, 3
Find the mode of:
| x | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 |
| f | 6 | 7 | 9 | 13 | 10 | 12 | 8 | 0 | 4 |
The following are the margins of victory in the football matches of a league.
1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 1, 1, 2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 3, 2, 3, 2, 4, 2, 1, 2.
Find the mode of this data.
A particular observation which occurs maximum number of times in a given data is called its
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.
Mean, Median and Mode may be the same for some data.
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
At least how many and which value(s) must be put in to change the mode to 15?
