Question

In: Statistics and Probability

The number of stories in each of the world's 30 tallest buildings listed below. construct a...

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?

Solutions

Expert Solution

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.


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