the marks in science of 10 students are 40, 42, 47, 40, 36, 32, 33,38, 49 (find 1 range 2 mean)
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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?
Solution
Transcript
Solution:
Let us arrange the data in ascending order
32,35,36,37,38,38,38,40,42,43,43,43,45,47,50.
i) Mode = 38 and 43 as they occured the maximum number of times
Median = \left(\frac{n+1}{2}\right)^{th}\(
2
n+1
)
th
n = 15
\frac{15\ +\ 1}{2}
2
15 + 1
= \frac{16}{2\ }\ =\ 8th\ term
2
16
= 8th term
8th term = 40
Thus, mode of the data is 38 and 43
Median = 40
ii) Yes, the given data has two modes.
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