Answered: What is the sample standard deviation…

What is the sample standard deviation of the number of texts sent? Number of texts sent, x 30 35 40 45 50 55 60 Number of people who sent x texts 9 15 14 18 10 12 8

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

What is the sample standard deviation of the number of texts sent?

Number of texts sent, x

Number of people who
sent x texts

Expert Solution

Step 1

The mean of the number of texts sent is,

$\begin{array}{rcl} \bar{x} & = & \frac{\sum_{i} f_{i} x_{i}}{\sum_{i} f_{i}} \\ = & \frac{(30 \times 9) + (35 \times 15) + (40 \times 14) + (45 \times 18) + (50 \times 10) + (55 \times 12) + (60 \times 8)}{9 + 15 + 14 + 18 + 10 + 12 + 8} \\ = & \frac{3, 805}{86} \\ = & 44.2442 \end{array}$

The mean of the number of texts sent is 44.2442.

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