as determined for the skies over Baghdad for each of the 365 days during a particular year. The following accompanying table summarizes the resulting data. Clearness Index Number of Days (frequency) 0.15 to <0.25 5 0.25 to <0.35 19 0.35 to <0.45 25 0.45 to <0.50 24 0.50 to <0.55 42 0.55 to <0.60 52 0.60 to <0.65 99 0.65 to <0.70 88 0.70 to <0.75 11
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.
The clearness index was determined for the skies over Baghdad for each of the 365 days during a particular year. The following accompanying table summarizes the resulting data.
| Clearness Index | Number of Days (frequency) |
| 0.15 to <0.25 | 5 |
| 0.25 to <0.35 | 19 |
| 0.35 to <0.45 | 25 |
| 0.45 to <0.50 | 24 |
| 0.50 to <0.55 | 42 |
| 0.55 to <0.60 | 52 |
| 0.60 to <0.65 | 99 |
| 0.65 to <0.70 | 88 |
| 0.70 to <0.75 | 11 |
| Class Intervals | Frequency | Rel. Frequency |
| 0.15 to <0.25 | 5 | |
| 0.25 to <0.35 | 19 | |
| 0.35 to <0.45 | 25 | |
| 0.45 to <0.50 | 24 | |
| 0.50 to <0.55 | 42 | |
| 0.55 to <0.60 | 52 | |
| 0.60 to <0.65 | 99 | |
| 0.65 to <0.70 | 88 | |
| 0.70 to <0.75 | 11 |
(b) Draw the histogram. (Be careful here-the intervals do not all have the same width. Do this on paper. Your instructor may ask you to turn in this graph.)
(c) Cloudy days are those with a clearness index smaller than 0.35. What proportion p of the days was cloudy? (Round your answer to two decimal places if needed.)
p =
(d) Clear days are those for which the index is at least 0.65. What proportion p of the days was clear? (Round your answer to two decimal places if needed.)
p =
The during a particular year. The following accompanying table summarizes the resulting data of clearness index .
| Clearness Index | Number of Days (frequency) |
| 0.15 to <0.25 | 5 |
| 0.25 to <0.35 | 19 |
| 0.35 to <0.45 | 25 |
| 0.45 to <0.50 | 24 |
| 0.50 to <0.55 | 42 |
| 0.55 to <0.60 | 52 |
| 0.60 to <0.65 | 99 |
| 0.65 to <0.70 | 88 |
| 0.70 to <0.75 | 11 |
It is asked to find the
- Relative frequency,
- Histogram
- Percetiles
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