Advertisements
Advertisements
Question
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?
Advertisements
Solution
The runs scored by 11 players are
6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15
Arranging these scores in an ascending order,
6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120
Mean = `(6+8 + 10+10+15+15+15+50+80+100+120)/11`
= `429/11`
= 39
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 11 terms in the given data, therefore, the median of this data will be the 6th observation.
Median = 15
Also, it can be observed that 15 occurs 3 times (i.e., maximum number of times).
Therefore, mode of this data = 15
No, these three are not same.
APPEARS IN
RELATED QUESTIONS
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 mean, the median, and the mode of 21, 24, 21, 6, 15, 18, 21, 45, 9, 6, 27 and 15.
A particular observation which occurs maximum number of times in a given data is called its
The colors used by the six students for drawing is blue, orange, yellow, white, green and blue then the mode is ________
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
Mode of the data is always from the given data.
The data 12, 13, 14, 15, 16 has every observation as mode.
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)?
