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?
Find the mode of the following data.
| Marks | 35 | 36 | 37 | 38 | 39 | 40 |
| No. of Student | 09 | 07 | 09 | 04 | 04 | 02 |
The ages (in years) of 11 cricket players are given below. 25, 36, 39, 38, 40, 36, 25, 25, 38, 26, 36. Find the mode of their ages.
Find the mode of data 3, 6, 9, 12, 15
Find the modes of the data 2, 1, 1, 3, 4, 5, 2
Find the mode of 2, 5, 5, 1, 3, 2, 2, 1, 3, 5, 3
Calculate the mean, mode and median for the following data:
22, 15, 10, 10, 24, 21
Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by children. What measure of central tendency would be most appropriate if the data is provided to him?
In a set of observations, the observation that occurs the most often is called ______.
The data 12, 13, 14, 15, 16 has every observation as mode.
