Height Count 60 1 61 8 62 10 63 5 64 3 65 21 66 20 67 6 68 12 69 4 70 9 71 9 72 11 73 3 74 2 75 5 76 1 The accompanying frequency table shows the heights (in inches) of 130 members of a choir. a) Find the median and IQR. b) Find the sample mean and sample standard deviation. c) Display these data with a histogram. d) Write a few sentences describing the distribution of heights. LOADING... Click the icon to view the frequency table of heights of choir members. a) The median is inches. (Type an integer or a decimal.) The IQR is inches. (Type an integer or a decimal.) b) The sample mean is inches. (Type an integer or decimal rounded to two decimal places as needed.
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.
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Height
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Count
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|---|---|---|
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60
|
1
|
|
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61
|
8
|
|
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62
|
10
|
|
|
63
|
5
|
|
|
64
|
3
|
|
|
65
|
21
|
|
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66
|
20
|
|
|
67
|
6
|
|
|
68
|
12
|
|
|
69
|
4
|
|
|
70
|
9
|
|
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71
|
9
|
|
|
72
|
11
|
|
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73
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3
|
|
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74
|
2
|
|
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75
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5
|
|
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76
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1
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a)
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Find the
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b)
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Find the sample
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c)
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Display these data with a histogram.
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d)
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Write a few sentences describing the distribution of heights.
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inches.
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