Advertisements
Advertisements
Question
In a mathematics test given to 15 students, the following marks (out of 100) are recorded:-
41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60
Find the mean, median and mode of this data.
Solution
The marks of 15 students in mathematics test are
41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60
`"Mean of data "="Sum of all observation"/"Total number of observations"`
`= (41+39+48+52+46+62+54+40+96+52+98+40+42+52+60)/15`
`= 822/15 = 54.8`
Arranging the scores obtained by 15 students in an ascending order,
39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98
As the number of observations is 15 which is odd, therefore, the median of data will be (15 + 1)/2= 8thobservation whether the data is arranged in an ascending or descending order.
Therefore, median score of data = 52
Mode of data is the observation with the maximum frequency in data. Therefore, mode of this data is 52 having the highest frequency in data as 3.
APPEARS IN
RELATED QUESTIONS
The mean of 5 numbers is 18. If one number is excluded, their mean is 16. Find the excluded number.
If x is the mean of the ten natural numbers `x_1, x_2 , x_3+....... + x_10` show that (x1 -x) + (x2 - x) +.........+ (x10 - x)` = 0
Find the missing value of p for the following distribution whose mean is 12.58.
| x | 5 | 8 | 10 | 12 | p | 20 | 25 |
| f | 2 | 5 | 8 | 22 | 7 | 4 | 2 |
Find the median of the following data (1-8)
25, 34, 31, 23, 22, 26, 35, 29, 20, 32
Find the mode for the following series :
7.5, 7.3, 7.2, 7.2, 7.4, 7.7, 7.7,7.5, 7.3, 7.2, 7.6, 7.2
If the ratio of mode and median of a certain data is 6 : 5, then find the ratio of its mean and median.
The arithmetic mean and mode of a data are 24 and 12 respectively, then find the median of the data.
To draw a histogram to represent the following frequency distribution:
| Class interval | 5 – 10 | 10 – 15 | 15 – 25 | 25 – 45 | 45 – 75 |
| Frequency | 6 | 12 | 10 | 8 | 15 |
the adjusted frequency for the class 25 – 45 is:
If the mean of the following data is 20.2, find the value of p:
| x | 10 | 15 | 20 | 25 | 30 |
| f | 6 | 8 | p | 10 | 6 |
Ten observations 6, 14, 15, 17, x + 1, 2x – 13, 30, 32, 34, 43 are written in an ascending order. The median of the data is 24. Find the value of x.
