Q1. Consider the following sample data. 2 3 4 5 5 a) Compute the mode, median, a
ID: 3047951 • Letter: Q
Question
Q1. Consider the following sample data. 2 3 4 5 5 a) Compute the mode, median, and mean for the sample data. b) If the numbers represented codes for the colors of T-shirts ordered online, which measure of location would make sense? Why? If the numbers represented miles between different exits on a highway, which measure of location would make sense? Why? c) d) Suppose the numbers represent survey responses from 1 to 5, with 1 disagree strongly, 2 disagree, 3 agree, 4 agree strongly, and 5 agree very strongly. Which measure of location would make sense? Why?Explanation / Answer
a) Observation are : 2 3 4 5 5
Total no of observations = 5
Mean = Sum of all the observations / Total no of observations
= (2 + 3 + 4 + 5 + 5 )/ 5
= 3.8
Mode = 5 ( The most frequently occuring term)
Median = 4,
Arrange the no Sequentially ( Increasing order )
2 3 4 5 5
4 is the middle most term hence Median
b) Mode should make sense
Because in this situation Mode can tell us the which Colour's t shirt are there the most.
c) Mean as a measure of location could serve the purpose here, if we want to the average distance or rough distance between different exit gates
d) Here we can use Median, hence the median would give us an idea on what most of the people's survey responce is, or the distribution of rating.
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