Questions: Question 2
What is the mean number of messages sent?
Sean: 120
Emma: 95
Stanley: 101
Stacey: 125
Kevin: 82
Michelle: 108
Katie: 90
Transcript text: Question 2
What is the mean number of messages sent?
Sean: 120
Emma: 95
Stanley: 101
Stacey: 125
Kevin: 82
Michelle: 108
Katie: 90
Solution
Solution Steps
Step 1: Gather the Data
We have the number of messages sent by each individual:
Sean: 120
Emma: 95
Stanley: 101
Stacey: 125
Kevin: 82
Michelle: 108
Katie: 90
Step 2: Calculate the Sum of Messages
To find the mean, we first calculate the total number of messages sent by all individuals:
\[
\sum_{i=1}^{7} x_i = 120 + 95 + 101 + 125 + 82 + 108 + 90 = 721
\]
Step 3: Calculate the Mean
The mean number of messages sent is calculated by dividing the total number of messages by the number of individuals:
\[
\mu = \frac{\sum_{i=1}^{7} x_i}{7} = \frac{721}{7} = 103.0
\]
Final Answer
The mean number of messages sent is \(\boxed{103.0}\).