The following data represents the lengths of the second maxilla in a sample of t
ID: 3132627 • Letter: T
Question
The following data represents the lengths of the second maxilla in a sample of the invasive tiger shrimp (Pinaeus monodon) taken from one location in the gulf of Mexico. Compute the following summary statistics. Provide your answers to two decimal places and appropriate rounding when necessary or specified otherwise.
a) Compute the arithmetic mean of the dataset.
b) Compute the geometric mean of the dataset.
c) Compute the harmonic mean of the dataset.
d) Compute the median of the dataset. Provide your answer to one decimal place.
e) Compute the variance of the dataset.
f) Compute the standard error of the dataset.
g) Compute the range of the dataset. Provide your answer to one decimal place.
h) Compute the 25th percentile of the dataset.
24 62 2 3 6 1 6 1 0 .1 1.7 .8 2 .9 7 15 16 7 1 1 2 2 3 9 43 3Explanation / Answer
From the given data
a) arithmetic mean of the dataset
= sum of all elements / no of elements
=241.8/26
=9.3
b) geometric mean of the dataset
=26th root of product of all numbers
=6.838
C) inverse of AM
=4.476
d)median of the dataset
average of 13 and 14 element when arranged in ascending order
=9.55 =9.6
e) variance
=35.76
f)standard deviation
=5.98
standard error
=standard deviation/sqrt(N)
=1.172
g) Range
highest no- lowest no
=19.1-1
=18.1
h) first quartile
or
25 th percentile is
2.9
=
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