SOLUTION: Consider the following: 21,28,31,35,39,42,45,51,54,59,65,67,70,74,75. I tried to solve this but none of my answers match any of the given choices. Find D6 a. 54 b. 57 c. 58.6

Question 1178079: Consider the following:
21,28,31,35,39,42,45,51,54,59,65,67,70,74,75. I tried to solve this but none of my answers match any of the given choices.
Find D6
a. 54
b. 57
c. 58.6
d. 59
Find Q2
a. 45
b. 47.5
c. 48
d. 51
Find IQR
A. 32
B. 34
C. 38
D. 42

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

21,28,31,|35|,39,42,45,||51||,54,59,65,|67|,70,74,75

st quartile (lower quartile) =

nd quartile (median) =

rd quartile (upper quartile) =

Find =>

We have to locate the sixth value in the ordered array and then have to more of the distance between the th and th values. i.e. the value of nd decile can be calculated as

see it on the table
D6 ..........Frequency......... Cumulative Frequency......... Decile
21 - 27 ..........1.......... ....................1.................... 30.000
27 - 33.......... 2.......................... 3.................... 33.000
33 - 39 ..........1....................... 4 ....................42.000
39 - 45 ..........2.................... ....6................... 45
45 - 51 ..........1.......... .............7.................... 54
.............................. ....................
57 - 63 ..........1.......... ............10.................... 66
63 - 69.......... 2...................... 12.................... 69
69 - 75 ..........2.................... ..14.................... 73
75 - 81 ..........1.................... ..15.................... 81

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