Answer:
Following are the responses to the given question:
Step-by-step explanation:
Let the missing value:
[tex]77.1 \\\\82.9 \\\\90\\\\91.3\\\\81.9\\\\83.3\\\\84.9\\\\82.5\\\\84.6[/tex]
Using the statistical software to calculate the output which can be defined as follows:
Summarizing the statistics:
[tex]Column \ \ \ \ \ \ \ a \ \ \ \ \ \ \ Mean \ \ \ \ \ \ \ Variance \ \ \ \ \ \ \ Std.\ \ der.\\\\ Data \ \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ 84.11 \ \ \ \ \ \ \ \ \ 16.432111 \ \ \ \ \ \ \ 4.053654[/tex]
From the above output:
[tex]Standard \ deviation\ S = 4.1\\\\Variance \ S^2= 16.4[/tex]