Find the range and interquartile range of the data. Round to the nearest tenth.

27, 43, 23, 51, 40, 38, 11, 9, 45, 9

Question

Find the range and interquartile range of the data. Round to the nearest tenth.
 
27, 43, 23, 51, 40, 38, 11, 9, 45, 9

amistre64 · Answer

whats the biggest number?  whats the smallest number?

anonymous · Answer

43 and 9

amistre64 · Answer

then the range is the difference between them ... and i believe the biggest is 45

so range = 45-9

amistre64 · Answer

to find what a quartile is:  quartile is a fancy term for quarter .. or 1/4

how many data points (numbers) are in the set?

anonymous · Answer

10

amistre64 · Answer

then 1 quartile is equal to 10/4,  or 2.5

this number refers to a position within the set.  the interquartile range is the the distance, or difference between the value in the 1q spot and the 3q spot

amistre64 · Answer

1q = 2.5
3q = 7.5

we want to rnd those up to find the 3rd and 8th positional values

amistre64 · Answer

sorting also helps us define the largest and smallest values too:

{9, 9, 11, 23, 27, 38, 40, 43, 45, 51}

looks like 51 and 9 define the range  whereas 11 and 43 define the iqr