W#1 NOTE EDA Graphs & Measures
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Fairleigh Dickinson University *
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Course
2023
Subject
Mathematics
Date
Feb 20, 2024
Type
docx
Pages
5
Uploaded by mlle445
W#1 NOTE EDA Graphs & Measures Consider the following graph
This is an example of what type of graph?
-
box-and-whisker plot or box plot
Quartiles are a measure of position, identifying locations within a data collection. Quartiles split the data into four (4) equally sized portions. This is an example of fractiles.
Other fractiles include deciles and percentiles.
Fill in the blanks with the corresponding numerals:
Deciles split data collections up into [A]
equal parts.
Commonly used percentiles split data collections up into [B]
equal parts.
-
A = 10
-
B = 100
What is the approximate or exact percentage of data located between any two consecutive quartiles?
-
25%
A five-number summary can be symbolized with the quartiles as follows: Q
0
- Q
1
- Q
2
- Q
3 - Q
4.
-
Agree
Consider the following graph
Which is the five-number summary that describes the data depicted by this graph?
-
10 16 22 36 40
Using the quartiles, the range
can be symbolized as Q
4 - Q
0.
-
Agree Other basic measures of spread, dispersion or variability include the half-ranges, literally measuring half the range of a data collection. Surprisingly, there can be three halves: the lower half form the beginning of the collection (when ordered) to the middle or median, the upper half from the middle or median to the end of the collection, and then the middle half from lower quartile or hinge (25% up from the beginning) to the upper quartile or hinge (75% up from the beginning).
The lower half-range is called low spread.
The middle half range is called mid spread.
The upper half range is called high spread.
-
Agree The mid spread is perhaps the best known, but only when known by its fancier name, the Inter-Quartile Range or IQR. It measures the length of the box in a box plot.
-
Agree Match the formula involving differences in quartiles, in order, Q
0
- Q
1
- Q
2
- Q
3 - Q
4 with the name of the half range that corresponds to it
-
Low spread = Q
2 - Q
0
-
Mid spread = Q
3 -
Q
1
-
High spread
= Q
4 -
Q
2 -
Inter quartile range or IQR = Q
3 - Q
1
Compute the following half-ranges corresponding to this data.
low spread: [A]
mid spread: [B]
high spread: [C]
Inter-Quartile Range or IQR: [D]
-
A = 12
-
B = 20
-
C = 18
-
D = 20
Consider the following graph. What type best describes it? The key is incomplete.
Number of Plants Sold at Cursory Nursery
1#
0
1
2
1*
5
6
6
7
2#
0
0
0
4
4
2*
5
5
3#
3
Key
3*
7
8
8
9
#: ?, ?, ?, ?, ?
4#
0
*: ?, ?, ?, ?, ?
-
two-lines-per-stem stem and leaf display or stem plot
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Consider the following graph. Help complete the key by replacing the question marks. Which response works best?
Number of Plants Sold at Cursory Nursery
1#
0
1
2
1*
5
6
6
7
2#
0
0
0
4
4
2*
5
5
3#
3
Key
3*
7
8
8
9
#: ?, ?, ?, ?, ?
4#
0
*: ?, ?, ?, ?, ?
-
#: 0, 1, 2, 3, 4
-
*: 5, 6, 7, 8, 9
In other words, data on a stem is split in half with zeros, ones, twos, threes, and fours appearing on the stem coded with the pound / number / hash tag symbol #, and with fives, sixes, sevens, eights, and nines on the stem coded with the asterisk symbol *. Consider the following graph. What type best describes it?
Number of Plants Sold at Cursory Nursery
1
0
1
2
5
6
6
7
2
0
0
0
4
4
5
5
3
3
7
8
8
9
4
0
-
one-line-per-stem stem-and-leaf display or stem plot
If the data represented graphically and measured in previous items, Numbers of Plants Sold at Cursory Nursery
, were graphed yet another way, the following stems could be used.
1#
1t
1f
1s
1*
2#
2t
2f
2s
2*
3#
3t
3f
3s
3*
4#
In this case, the data would be split into five groups, with zeros and ones on the # stems, twos and threes on the t stems, fours and fives on the f stems, sixes and sevens on the s stems, and eights and nines on the * stems. This would be considered a five-lines-per-stem stem-and-leaf display or stem plot.
-
Agree