Question

In: Statistics and Probability

(15 pts) A sample of 7 northern pike from a lake had the following lengths (rounded...

(15 pts) A sample of 7 northern pike from a lake had the following lengths (rounded to the nearest inch). Answer the following.

21        27        46        35        41        36        25

Find the sample mean

Find the sample standard deviation

Find the median

Find Q1 and Q3

Find the interquartile range

Solutions

Expert Solution

solution:-

given values are 21,27,46,35,41,36,25

sample mean = sum of terms / number of terms

= (21+27+46+35+41+36+25)/7

= 33

standard deviation = 9

median = 35

explanation:-  Ordering the data from least to greatest

21   25   27   35   36   41   46

Q1:- 25

explanation :- The first quartile is the median of the bottom half of the numbersis the median of the bottom half of the numbers

=>   21   25   27   35   36   41   46  

the bottom half is 21   25   27

Q3:- 41

explanation:- The third quartile is the median of the upper half of the number

=>  21   25   27   35   36   41   46

the upper half is 36   41   46

IQR :- 16

explanation:-

The interquartile range = 41 - 25 = 16

Q3 - Q1 = 41 - 25 = 16

orchestra answered 2 years ago
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