Question

3. 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
(1) Find the mode and median of this data.
(i) Is there more than one mode?

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Answer 1

Answer:

✓{35*,3*8*,42*,37}✓&ehjk

Answer 2

Answer:

Hii

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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