Question

5. Find the mean, median and mode of the following marks (in ascending order) secured by 16 students in
a class test of 10 marks:
0,0,2,2,3,3,3,4,5,5,5,5,6,6,7,8
is​

Answer 1

Answer:

0,0,2,2,3,3,3,4,5,5,5,5,6,6,7,8

mode = 5

in ascending order

0,2,3,4,5,6,7,8

$mean = \frac{0 + 2 + 3 + 4 + 5 + 6 + 7 + 8}{8}$

mean = 35÷8

mean = 4.3

$median = \frac{4 + 5}{2}$

median = 9÷2 = 4.5

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Answer 2

Answer:

$mean \: = \frac{sum \: of \: observations}{number \: of \: observations} \\ \frac{0 + 0 + 2 + 2 + 3 + 3 + 3 + 4 + 5 + 5 + 5 + 5 + 6 + 6 + 7 + 8}{16} \\ = \\ \frac{64}{16} = 4$

Here, the number of observations is n = 16, which even

$median \: = average \: value \: of \: ( \frac{n}{2} ) th \: \: term \: and \: \\ (\frac{n}{2} + 1) \:$

$median = average \: value \: of \: 8th \: term \: and \: 9th \: term \: = \frac{4 + 5}{2} = \: 4.5$

In the given data, 5 occurs most frequently, i.e. four times. So the mode is 5

✅ Hence,

mean = 4

median = 4.5

mode = 5