Question

Use the given sample data to find each of the listed values.In your answer, include both numerical answers and an explanation, in complete sentences, for the steps necessary to find the data values

62 52 52 52 64 69 69 76 54 58 61 67 73

Answer 1

first you should probably arrange the numbers in ascending order. (i like to make a stem-leaf table ... makes it easier to find the median etc.)

Answer 2

ok ... so we have 13 numbers.... smallest is 52 ... largest 76

So the Range is?

Answer 3

52 52 52 54 58 61 62 64 67 69 69 73 76

Answer 4

right, so what's the range?

Answer 5

24

Answer 6

right, just 76-52

Answer 7

next what's the median?

Answer 8

62

Answer 9

\[52\ 52\ 52\ 54\ 58\ 61\ \underline{\color{blue}{62}}\ 64\ 67\ 69\ 69\ 73\ 76\]
right. six numbers to its left and 6 to the right.

Answer 10

Now find Q1 (that's the median of the first 6 numbers)

Answer 11

52
54

Answer 12

right, so Q1=53

Answer 13

53

Answer 14

and Q3?

Answer 15

69

Answer 16

Q3 is the median of the last 6 numbers { everything to the right of 62 }

Answer 17

correct. :D

now we just need to find the inter-Quartile range ...

Answer 18

IQR = Q3 - Q1 = ?

Answer 19

16

Answer 20

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