Question

Find the lower and upper quartiles from the marks obtained by 11 students in Optional Mathematics given below.
48.53.52, 38, 37, 35, 60, 65, 62, 30, 70​

Answer 1

Answer:

First of all, we need to arrange the data in an ascending order. Thus, the data is presented below as:

15, 35, 43, 46, 48, 49, 50, 55

N = 8

Since the number of items in the series is even, thus the following formula is used to calculate the median.

Median=

Size of (

N

2

)th item + Size of (

N

2

+1)th item

2

=

Size of (

8

2

)th item + Size of (

8

2

+1)th item

2

=

Size of 4th item + Size of 5th item

2

=

46+48

2

=47

Thus, Median is 47.

Step-by-step explanation:

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Answer 2

Answer:

lower= 30,35,37,38,42,48,52,53,60,62,65,70

upper= 70,65,62,60,53,52,48,42,38,37,35,30

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