Answered

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The high temperature, in ∘C, on the first day of winter was recorded in a certain city every year from 1915 to 2015. The following six temperature values were randomly selected from the data.

4,12,6,9,6,11
To determine the "spread" of the data, would you employ calculations for the sample standard deviation, or population standard deviation for this data set?

Sagot :

Answer:

Population standard deviation

Step-by-step explanation:

Mean value =  4 + 12 + 6 + 9 + 6 + 11 = 48 / 6 = 8 mean

Standard deviation with numbers close together in random samples show the numbers would be close to their average mean and would never show spread of data in lower range numbers

Range = 12 - 4 = 8 does not determine the ''spread'' for measures such as temperatures it shows the mean also as unintended.

Criteria must include lowest and highest temperature to reflect 100 years and so population standard in lower set data would reflect a reliable calculation.

As the condition has mentioned in the problem , population standard deviation would be prefer for this data set

Temperature range for year 1915 to 2015 has been given in question
= 4, 12, 6, 9, 6, 11

What is standard deviation?

The standard deviation is used to calculate the spread of values in the set of data.


Mean =  (4 + 12 + 6 + 9 + 6 + 11)/6
48/6 = 8
mean = 8

[tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]

σ= population standard deviation

N= population size

xi= each value from the population

μ =    population mean

Range = 12-4
=8
since the range is very small difference to its extreme points on sets of temperature relative b the year difference which is a century i.e, 100 years . Though, Its implies formula that has been mentioned above which is of standard deviation for population shows the perfect calculation for this lower range of temperature gives the precise information of the spread.  

Thus, Population standard deviation would be preferred for the further calculations.

Learn more about Standard deviation here:
https://brainly.com/question/14747159

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