Question

Item 4 Find the median, first quartile, third quartile, and interquartile range of the data. 132,127,106,140,158,135,129,138 median: first quartile: third quartile: interquartile range

Answer 1

Answer:

133.5, 127.5, 139.5, 12

Step-by-step explanation:

order data:

106, 127, 129, 132, 135, 138, 140, 158

Median:

The middle number: (8+1)/2 = 4.5 between the 4&5 numbers

= (135-132)/2= 1.5

1.5 + 132 = 133.5

lower quartile (1st quartile):

(8+1)/4 = 2.25 between the 2&3 numbers

(129+127)/4=0.5

0.5+127 = 127.5

upper quartile(3rd quartile):

(8+1)/4 x3 = 6.75 between the 6&7 numbers

(140-138)/4 x3 = 1.5

1.5 + 138 =139.5

Interquartile range:

139.5-127.5= 12

hope this helps