Question

The table below shows data for a class's mid-term and final exams:

Mid-Term Final
100 98
100 95
100 93
95 91
95 88
92 82
92 78
88 78
85 65
75 60

Which data set has the largest IQR?
Mid-term exams
Final exams
They have the same IQR
There is not enough information

Answer 1

@perl @Loser66 @phi

Answer 2

What is IQR?

Answer 3

interquartile range

Answer 4

@Loser66

Answer 5

you should find the median of each data set
divide the data set into two halves: one below and one above the median
then find the median of each half
IQR= top median - bottom median

Answer 6

What is the median of the mid-term set?

Answer 7

because the numbers are sorted, and you have 10 numbers total,
look at the middle number of the first 5 (i.e the 3rd number on the list)
and the middle number of the lower 5 (i.e. the 3rd from the bottom)
subtract those two numbers

Answer 8

there are two medians 95 and 92

Answer 9

for the mid-term

Answer 10

look at the middle number of the first 5 (i.e the 3rd number on the list)

Answer 11

in other words, if you look only at
100 100 100 95 95 (the first 5 numbers of the mid-term)
the median of those is the middle number and is 100

Answer 12

now do the same thing for the bottom 5 numbers
92 92 88 85 75

Answer 13

median of those is 88

Answer 14

you should get 88 for the median of the bottom 5 numbers.
now you can find the IQR
100 - 88

Answer 15

12

Answer 16

now do the same thing for the other data set

Answer 17

find the 3rd number on the top 5
find the 3rd number of the bottom 5
subtract

Answer 18

93 and 78? @phi

Answer 19

yes, now find the iqr by subtracting big - little

Answer 20

um ok 15

Answer 21

finally, which data set has the bigger iqr?

Answer 22

final

Answer 23

yes

Answer 24

ty may you help w. two more?

Answer 25

if you make a new post, please

Answer 26

ok