SOLUTION: Using the following stem & leaf plot, find the five number summary for the data by hand. Thank you! 1|07 2|067 3|06 4|1689 5|34799 6|44 Min = Q1 = Med = Q3 = Max =

Algebra ->  Probability-and-statistics -> SOLUTION: Using the following stem & leaf plot, find the five number summary for the data by hand. Thank you! 1|07 2|067 3|06 4|1689 5|34799 6|44 Min = Q1 = Med = Q3 = Max =      Log On


   



Question 1150295: Using the following stem & leaf plot, find the five number summary for the data by hand. Thank you!

1|07
2|067
3|06
4|1689
5|34799
6|44
Min =
Q1 =
Med =
Q3 =
Max =

Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
1|07
2|067
3|06
4|1689
5|34799
6|44

The stem digits (stems) are the digits before the "|".
The leaf digits (leaves) are the digits after the "|".

Put the stem digit before each leaf digit, and a comma after each leaf

1|10,17,
2|20,26,27,
3|30,36,
4|41,46,48,49,
5|53,54,57,59,59,
6|64,64,

Erase the stems and the "|"'s and you have the data:

10,17,
20,26,27,
30,36,
41,46,48,49,
53,54,57,59,59,
64,64,

Press STAT, then ENTER

Enter all 18 numbers in your TI graphing calculator under L1:

Press 2NS MODE   (quit)

Press STAT and the right arrow key to highlight CALC then ENTER

If necessary highlight Calculate

x=42.22222222
Sx=760
S²=37020
Sx=17.03130528
sx=16.551`45363
n=18
minx=10
|Q1=27
v

Scroll down with the down arrow key to see the rest:

Med=47
Q3=57
maxX=64

Those last numbers are the five number summary.

Edwin

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
Using the following stem & leaf plot, find the five number summary for the data by hand. Thank you!

1|07
2|067
3|06
4|1689
5|34799
6|44
Min =
Q1 =
Med =
Q3 =
Max =
When determining these data values MANUALLY, I normally like to do this in order, from easiest to most difficult, or:
1) Min    2) Max      3) Med/Q2         4) Q1          5) Q3

Min 
As you can see from the stem-and-leaf plot, the minimum value or highlight_green%28matrix%281%2C3%2C+Min%2C+%22is%3A%22%2C+10%29%29

Max
As you can see from the stem-and-leaf plot, the maximum value or highlight_green%28matrix%281%2C3%2C+Max%2C+%22is%3A%22%2C+64%29%29

Med/Q2
For the median, or Q2, there're 18 numbers, and so, the median/Q2 is in the matrix%281%2C4%2C+%2818%2B1%29%2F2%2C+%22=%22%2C+9.5%5E%28th%29%2C+POSITION%29

Counting from the top, the value in the matrix%281%2C2%2C+9.5%5E%28th%29%2C+POSITION%29 is the MEAN of the 9th and 10th values. 
And, with the 9th and 10th values being 46 and 48, the median/Q2, or  

Q1
Q1 is the MEDIAN value of the values to the LEFT of Q2. 
There are 9 values to the LEFT of Q2, so Q1 will be in the 
Counting from the top, this makes highlight_green%28matrix%281%2C2%2C+%22Q2%3A%22%2C+27%29%29

Q3
Q3 is the MEDIAN value of the values to the RIGHT of Q2. 
There are 9 values to the RIGHT of Q2, so Q3 will be in the 
Counting from the LARGEST value to the LEFT of the LARGEST value, 64, this makes highlight_green%28matrix%281%2C2%2C+%22Q3%3A%22%2C+57%29%29