Question

Express the difference in medians as a multiple of the IQR of EACH dataset.Grade 7Grade 5+5 6 7 8 91011Shoe Sizes

Answer 1

median grade 7 is 9

median grade 5 is 8

Thus, the difference in medians is given by

`9-8=1`

then,

Q1 grade 7 is 6.5

Q3 grade 7 is 9.5

thus her interquatile range is given by

`Q3-Q1=9.5-6.5=3`

therefore, the difference of the medians as a multiple of IQR is

`difference=(1)/(3)`

answer: 1/3 for grade 7

grade 5

Q1 is 7

Q3 is 9

thus her interquatile range is given by

`9-7=2`

therefore, the difference of the medians as a multiple of IQR is

`\text{difference}=(1)/(2)`

answer: 1/2 for grade 5