Q. 165.0( 6 Votes )
Which of the following has the same mean, median and mode?
A. 6, 2, 5, 4, 3, 4, 1
B. 4, 2, 2, 1, 3, 2, 3
C. 2, 3, 7, 3, 8, 3, 2
D. 4, 3, 4, 3, 4, 6, 4
Answer :
Arranging all the sets A, B, C, D in ascending order
A. 1, 2, 3, 4, 4, 5, 6
Mean = 
Median = 4, Mode = 4
So Mean ≠ Median = Mode
B. 1, 2, 2, 2, 3, 3, 4
Mean = 
Median = 2, Mode = 2
So Mean ≠ Median = Mode
C. 2, 2, 3, 3, 3, 7, 8
Mean = 
Median = 3, Mode = 3
So Mean ≠ Median = Mode
D. 3, 3, 4, 4, 4, 4, 6
Mean = 
Median = 4, Mode = 4
So Mean = Median = Mode
So correct option is D.
Rate this question :
Which of the following has the same mean, median and mode?
NCERT - Exemplar MathematicsFind the range of heights of any ten students of your class.
NCERT MathematicsCalculate the Mean, Median and Mode of the following data:
5, 10, 10, 12, 13.
Are these three equal?
NCERT - Exemplar MathematicsState whether the statements are True or False.
The range of the data 3, 7, 1, –2, 2, 6, –3, –5 would change if 8 was added to each value in the data.
NCERT - Exemplar MathematicsState whether the statements are True or False.
The range of the data 2, –5, 4, 3, 7, 6 would change if 2 was subtracted from each value in the data.
NCERT - Exemplar MathematicsState whether the statements are True or False.
Range of the data is always from the data.
NCERT - Exemplar MathematicsState whether the statements are True or False.
Median of the data may or may not be from the given data.
NCERT - Exemplar MathematicsState whether the statements are True or False.
If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected.
NCERT - Exemplar MathematicsState whether the statements are True or False.
The data 12, 13, 14, 15, 16 has every observation as mode.
NCERT - Exemplar MathematicsState whether the statements are True or False.
Mean, Median and Mode may be the same for some data.
NCERT - Exemplar Mathematics