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Approximate the Variance and Standard Deviation of a Variable from Grouped

question 94

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Approximate the Variance and Standard Deviation of a Variable from Grouped Data
-For the following data set, approximate the sample standard deviation of emails per day.  Emails (per day)   Frequency 81118121523161938202347242732\begin{array}{c|c}\text { Emails (per day) } & \text { Frequency } \\\hline 8-11 & 18 \\12-15 & 23 \\16-19 & 38 \\20-23 & 47 \\24-27 & 32\end{array}


Definitions:

Small Discrepancy

a minor difference or deviation from what is expected, generally not sufficient to cause concern.

Auto-motive Theory

The theory suggesting that motivations can be automatically triggered by environmental cues without conscious intention.

Goal-related Stimuli

External cues or information that can influence motivation and action toward achieving a goal.

Higgins's Self-discrepancy Theory

A theory positing that individuals experience emotional discomfort or psychological distress due to discrepancies between their actual self, ideal self (aspirations), and ought self (sense of duty or obligation).

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