The side-by-side dotplot below displays the arm spans, in centimeters, for two classes. Which statement is NOT true? O The mean arm span appears to be similar for the two Arm Span (cm) Class A Class B classes. 8 31 965 14 The arm spans for Class A have less variability than the arm spans for Class B. 15 56 022233 5 67 0 3 The arm spans for Class B have more variability than the arm spans for Class A. 421 16 995 17 9965 16 1 0 The arm spans for Class A are roughly symmetric, while those for Class B are skewed left. 17 3 20 012 18 66 18 19 19 20 182 55 OCO77 ∞ o o C
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
 alt="The side-by-side dotplot below displays the arm spans,
Which statement is NOT true?
in centimeters, for two classes.
The mean arm span appears to be similar for the two
Arm Span (cm)
Class A
Class B
classes.
8.
3 1
9 65
42 1
14
3
The arm spans for Class A have less variability than
the arm spans for Class B.
5 6
0 22233
5 67
0 3
The arm spans for Class B have more variability than
the arm spans for Class A.
16
99 5
16
The arm spans for Class A are roughly symmetric,
while those for Class B are skewed left.
1 0
17
9965
17
320
18
0 12
6 6
18
6.
36
19
20
Key: 15|5 = 155 cm
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