The following is the frequency distribution for the speeds of a sample of automobiles traveling on an…

Question

The following is the frequency distribution for the speeds of a sample of automobiles traveling on an interstate highway: Speed (miles per Hour) | 50-54 | 55-59 | 60-64 | 65-69 | 70-74 | 75-79 Frequency | 2 | 4 | 5 | 10 | 9 | 5 Calculate the; a) Median speed. b) Mean speed using assumed method. c) Standard deviation. d) Karlpearsons coefficient of skewness and comment on the distribution of the speed of the automobiles.

ScanSolve AI Tutor · Accepted Answer

Here is the solution for the given frequency distribution:

First, we prepare the data by finding the class boundaries, midpoints, and cumulative frequencies.
The class width $c = 5$ .

Speed (miles per Hour)	Frequency ( $f$ )	Class Boundaries	Midpoint ( $x$ )	Cumulative Frequency (cf)
50-54	2	49.5 - 54.5	52	2
55-59	4	54.5 - 59.5	57	6
60-64	5	59.5 - 64.5	62	11
65-69	10	64.5 - 69.5	67	21
70-74	9	69.5 - 74.5	72	30

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