Question

find the mean, median, and mode of the data, if possible. if any of these measures cannot be found or a measure does not represent the center of the data, explain why. a sample of seven admission test scores for a professional school are listed below. 11.6 11.2 11.1 10.8 10.4 10.5 11.6 what is the mean score? select the correct choice below and fill in any answer box to complete your choice. a. the mean score is (round to one decimal place as needed.) b. there is no mean score.

Explanation:

Step1: Recall mean formula

The mean $\bar{x}$ of a data - set $x_1,x_2,\cdots,x_n$ is given by $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, where $n$ is the number of data points. Here, $n = 7$ and the data points are $x_1=11.6,x_2 = 11.2,x_3=11.1,x_4 = 10.8,x_5=10.4,x_6 = 10.5,x_7=11.6$.

Step2: Calculate the sum of data points

$\sum_{i=1}^{7}x_i=11.6 + 11.2+11.1+10.8+10.4+10.5+11.6=77.2$.

Step3: Calculate the mean

$\bar{x}=\frac{\sum_{i = 1}^{7}x_i}{7}=\frac{77.2}{7}\approx11.0$.

Answer:

A. The mean score is $11.0$