In: Statistics and Probability
The number of stories in each of the world's 30 tallest buildings listed below. construct a grouped frequency distribution and comulative frequency distribution with 7 classes.
88 88 110 88 80 69 102 78 70 55
79 85 80 100 60 90 77 5575 55
54 60 75 64 105 56 71 70 65 72
Questions:
Find the mean, median and mode round to the nearest tenth
Decide measurement centeral tendency and why?
Compare mean and median . Finding % difference is there evidence of normality?
Construct a histogram using 7 classes tell if there is evidence of normality?
A normal plot Z Score evidence of normality?
Decision C,D,E and F evidence the variable is normal distributed?
From the given data
Class Interval | |||
LL | UL | f | LCF |
54 | 62 | 7 | 7 |
62 | 70 | 5 | 12 |
70 | 78 | 6 | 18 |
78 | 86 | 4 | 22 |
86 | 94 | 4 | 26 |
94 | 102 | 2 | 28 |
102 | 110 | 2 | 30 |
Total = | 30 |
Here Mean > Median therefore it is positive skewed distribution
The histogram of the data is
The shape of the histogram is fall down from left to right so it is positive skewed distribution.