Ely Zabala, a municipal health data officer, was tasked to create a report describing the height of the all the children ages 12 to 15 years in a small town in Basilan. He measured the height of all the 37 children (ages 12 to 15 years) in that small town. (table is the image) Describe the height of the male children using the following: Mean, Median, and Mode Minimum and Maximum Values Range Variance and Standard Deviation Coefficient of Variation 25th, 50th, and 75th Percentiles (P25, P50, P75) Interquartile range Number of outliers
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.
Ely Zabala, a municipal health data officer, was tasked to create a report describing the height of the all the children ages 12 to 15 years in a small town in Basilan. He measured the height of all the 37 children (ages 12 to 15 years) in that small town. (table is the image)
Describe the height of the male children using the following:
Mean ,Median , andMode - Minimum and Maximum Values
Range - Variance and Standard Deviation
- Coefficient of Variation
- 25th, 50th, and 75th Percentiles (P25, P50, P75)
Interquartile range - Number of outliers
 alt="Height
(in cm)
Child No.
Sex
Female
146.5
2
Female
147.2
Male
147.6
4
Female
149.8
Male
143.1
Female
145.7
Female
145.9
8
Female
149.5
Female
140.3
10
Male
147.1
11
Male
146.5
12
Female
142.1
13
Female
142.7
14
Female
141.6
15
Male
Male
147.1
16
145.7
17
Male
150.2
18
Male
146.5
19
Female
142.3
Female
Female
20
145.3
21
143.9
22
Female
139.7
23
Male
Female
Female
Female
Female
Female
Male
143.0
24
143.4
25
151.8
26
140.3
27
147.9
147.3
149.9
28
29
30
Male
136.7
Male
Female
Male
31
143.6
32
145.5
33
145.1
34
Male
142.0
35
Male
142.1
36
Female
147.2
37
Female
147.7
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