The weights of 18 students are given below. Find the mode and range weight.
Answers
Answer:
42 kg, 9 kg
Step-by-step explanation:
So we can say,from the following table, that :
x + x + 1 +2x + (3x -2) + x + 3 = 18
In a more simplified way:
4x + 1 + 3x - 2 + x + 3 = 18
8x + 2 = 18
8x = 16
From this equation, we can deduce that,
x = 16/8
So, x = 2
Putting the value of x as two in all no of students, we can get:
No of children; weight is 33 = x = 2
No of children; weight is 35 = x + 1 = 2 + 1 = 3
No of children; weight is 37 = 2x = 2 x 2 = 4
No of children; weight is 39 = 3x - 2 = (3 x 2) - 2 = 6 - 2 = 4
No of children; weight is 42 = x + 3 = 2 + 3 = 5
2 + 3 + 4 + 4 + 5 = 18, which is correct
MODE
The mode weight is 42 kg, as we can clearly see from the data we have simplified.
RANGE
The range weight is :
the heaviest weight - the lighter weight = 42 - 33 = 9 kg
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