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) (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) (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
Max
As you can see from the stem-and-leaf plot, the maximum value or
Med/Q2
For the median, or Q2, there're 18 numbers, and so, the median/Q2 is in the
Counting from the top, the value in the 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
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 
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