Kartik has 20 min to get to his/her part time job. Despite best efforts, he is frequently late and have
been tracking how long it takes (in minutes) to get there.
His recorded times are as follows: {18, 20, 22, 27, 16, 23, 25, 26, 19, 28).
Determine all measures of central tendency for the list of travel times-mean, median and
mode.
B. Which measure of central tendency do you think best represents the 'average' time it takes
Kartik to get to work? Justify your choice.
C. Create a histogram that represents the list of travel times.
Answers
Given : Time taken by Kartik to reach office
To find : Mean , Median Mode
Solution:
18, 20, 22, 27, 16, 23, 25, 26, 19, 28
arranging in ascending order
16 , 18 , 19 , 20 , 22 , 23 , 25 , 26 , 27 , 28
there are 10 data points
hence median = (5th + 6th)/2
= (22 + 23)/2
= 22.5
There is No mode as Each time is only once
Mean = (16 + 18 + 19 + 20 + 22 + 23 + 25 + 26 + 27 + 28)/10
= 224/10
= 22.4
Median = 22.5
Mean = 22.4
Histogram: a graphical display of data using bars of different heights. It is similar to a Bar Chart, but a histogram groups numbers into ranges
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