A Calculate the range of marks obtained by middle 80% of the students:
Marks:
0-10
10-20
30-40
20-30
I 22
40-50
I 24
50-60
12
60-70
6
No. of students:
I
16
I 30
I
(Hint: Calculate P90 - Pio]
(Ans.: Percentile Range = 42.79)
Answers
Answer:
A carbohydrate is a biomolecule consisting of carbon, hydrogen and oxygen atoms, usually with a hydrogen–oxygen atom ratio of 2:1 and thus with the empirical formula Cₘₙ.
The range of marks obtained by the middle 80% of students is 21.6 - 26.4
To calculate the range of marks obtained by the middle 80% of students, we first need to find the median or the middle value of the marks.
The median is the middle value of the marks. To find the median, we need to arrange the marks in ascending order and find the value at the middle position:
Marks:
0-10: 0
10-20: 16
20-30: 22
30-40: 24
40-50: 30
50-60: 12
60-70: 6
The median is the value at the middle position, which is 24.
To find the range of marks obtained by the middle 80% of students, we need to find the lower and upper bounds for the middle 80% of marks. The lower bound is the mark that is 10% below the median, and the upper bound is the mark that is 10% above the median.
10% below the median is: 24 - (24 x 10%) = 24 - 2.4 = 21.6
10% above the median is: 24 + (24 x 10%) = 24 + 2.4 = 26.4
Therefore, the range of marks obtained by the middle 80% of students is 21.6 - 26.4
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