The scores in mathematics test (out of 25) of students is as follows: 19,25,23,20,9,20,15,10,5,16,25,20,24,12,20. Find the mode and median of this data. Are they same?
Given:
The scores in mathematics test (out of 25) of students is as follows:
19,25,23,20,9,20,15,10,5,16,25,20,24,12,20
To do:
We have to find the mode and median of the given data.
Solution:
Arrange the data in ascending order,
5 , 9 , 10 , 12 , 15 , 16 , 19 , 20 , 20 , 20 , 20 , 23 , 24 , 25 , 25
Mode = Most frequent data
Mode = 20 (20 occurs 4 times in the given data)
Median = $\frac{(n+1)}{2}$th term if n is odd.
n = number of observations = 15
Median = $\frac{(15 + 1)}{2} = \frac{16}{2} = 8$th term
$8^{th}$ term is 20.
Therefore,
Median = 20
Mode and Median are the same value(20).
Related Articles The scores in mathematics test (out of 25) of 15 students is as follows:19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20Find the mode and median of this data. Are they same?
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.
The weight (in kg) of 15 students of a class is as under 48,38,45,42,41,39,38,43,49,37,42,41,35,40,38. Find the mean, median and mode of the above data. Are they same?
Candidates of four schools appear in a mathematics test. The data were as follows:
The marks in science of 13 students are 31,37,29,41,35,35,38,36,35,38,32,29,43 . Find the range, Median , Mean and Mode.
The runs scored in a cricket match by 11 players is as follows:6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15Find the mean, mode and median of this data. Are the three same?
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$(i)$. Find the mode and median of this data.$(ii)$. Is there more than one mode?
In a test of class ten, 75% of students passed in mathematics and 65% in science. What is the percentage of students who passed in both subjects?
The following number of goals were scored by a team in a series of 10 matches:$2,3,4,5,0,1,3,3,4,3$Find the mean, median and mode of these scores.
What Is Mean, Median, Mode , and Range of a data set?
Find the mean, mode and median of the following frequency distribution:
Find the mode of data:
Candidates of four schools appear in a mathematics test. The data were as follows :SchoolsNo. of CandidatesAverage ScoreI6075II4880IIINot available 55IV4050.If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.
How can students make most out of the classes they find boring or difficult?
Which of the following statements is INCORRECT?A. Mean, Median and Mode may be same for some data.B. The probability of getting an ace out of a deck of cards is less than \( 1 . \)C. Mean of the data is always from the given data.D. Median of the data may or may not be from the given data.
Kickstart Your Career
Get certified by completing the course
Get Started