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

Solution Steps

We have the number of messages sent by each individual:

• Sean: 120
• Emma: 95
• Stanley: 101
• Stacey: 125
• Kevin: 82
• Michelle: 108
• Katie: 90

To find the mean, we first calculate the total number of messages sent by all individuals: \[ \sum_{i=1}^{7} x_i = 120 + 95 + 101 + 125 + 82 + 108 + 90 = 721 \]

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