Question

Find the range of the following data set. 1 1/4,5/8,3/4 ,1/2 ,1 1/2, 1 3/4

A.1
B.1 1/8
C. 1 1/4

Answer 1

1 1/4 = 1 2/8
5/8 = 5/8
3/4 = 6/8
1/2 = 4/8
1 1/2 = 1 4/8
1 3/4 = 1 6/8
So, the biggest number (1 6/8) - the smallest number (4/8) = 10/8
But to subtract fractions, you must do a little rule
1x8=8+6=14/8 - 4/8 which is 10/8 or 1 1/4
The answer is C

Answer 2

Answer: The range of the data is (C)
`1(1)/(4).`

Step-by-step explanation: We are given to find the range of the following data:

`1(1)/(4),~(5)/(8),~(3)/(4),~(1)/(2),~1(1)/(2),~1(3)/(4)\\\\\\=(5)/(4),~(5)/(8),~(3)/(4),~(1)/(2),~(3)/(2),~(7)/(4).`

RANGE : The range of a data is given by the difference between the larges and the smallest value in the data.

Arranging the given data in ascending order, we have

`(1)/(2),~(5)/(8),~(3)/(4),~(5)/(4),~(3)/(2),~(7)/(4).`

So, the largest value and the smallest values of the data are

`L=(7)/(4),\\\\S=(1)/(2).`

Therefore, the range of the data is given by

`R=L-S=(7)/(4)-(1)/(2)=(7-2)/(4)=(5)/(4)=1(1)/(4).`

Thus, option (C) is the correct option.