Question

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

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) $1\dfrac{1}{4}.$

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

$1\dfrac{1}{4},~\dfrac{5}{8},~\dfrac{3}{4},~\dfrac{1}{2},~1\dfrac{1}{2},~1\dfrac{3}{4}\\\\\\=\dfrac{5}{4},~\dfrac{5}{8},~\dfrac{3}{4},~\dfrac{1}{2},~\dfrac{3}{2},~\dfrac{7}{4}.$

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

$\dfrac{1}{2},~\dfrac{5}{8},~\dfrac{3}{4},~\dfrac{5}{4},~\dfrac{3}{2},~\dfrac{7}{4}.$

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

$L=\dfrac{7}{4},\\\\S=\dfrac{1}{2}.$

Therefore, the range of the data is given by

$R=L-S=\dfrac{7}{4}-\dfrac{1}{2}=\dfrac{7-2}{4}=\dfrac{5}{4}=1\dfrac{1}{4}.$

Thus, option (C) is the correct option.