the length (in words) of seven articles from a particular newspaper are listed below. find the mean, median…

the length (in words) of seven articles from a particular newspaper are listed below. find the mean, median, and mode of the data, if possible. if any of these measures cannot represent the center of the data, explain why. 1369 1156 1225 815 1277 1125 1278\nfind the mean word count. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the mean word count is \n(round to one decimal place as needed.)\nb. there is no mean word count.\ndoes the mean represent the center of the data?\na. the mean represents the center\nb. the mean does not represent the center because it is the largest data value\nc. the mean does not represent the center because it is the smallest data value\nd. the mean does not represent the center because it is not a data value\ne. there is no mean word count.\nfind the median word count. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the median word count is \n(round to one decimal place as needed.)\nb. there is no median word count.\ndoes the median represent the center of the data?\na. the median represents the center\nb. the median does not represent the center because it is the smallest data value

the length (in words) of seven articles from a particular newspaper are listed below. find the mean, median, and mode of the data, if possible. if any of these measures cannot represent the center of the data, explain why. 1369 1156 1225 815 1277 1125 1278\nfind the mean word count. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the mean word count is \n(round to one decimal place as needed.)\nb. there is no mean word count.\ndoes the mean represent the center of the data?\na. the mean represents the center\nb. the mean does not represent the center because it is the largest data value\nc. the mean does not represent the center because it is the smallest data value\nd. the mean does not represent the center because it is not a data value\ne. there is no mean word count.\nfind the median word count. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the median word count is \n(round to one decimal place as needed.)\nb. there is no median word count.\ndoes the median represent the center of the data?\na. the median represents the center\nb. the median does not represent the center because it is the smallest data value

Answer

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here, $n = 7$, and $x_1=1369,x_2 = 1156,x_3=1225,x_4 = 815,x_5=1277,x_6=1125,x_7=1278$. $\sum_{i = 1}^{7}x_{i}=1369 + 1156+1225+815+1277+1125+1278=8245$. $\bar{x}=\frac{8245}{7}\approx1177.9$.

Step2: Find the median

First, order the data: $815,1125,1156,1225,1277,1278,1369$. Since $n = 7$ (odd), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{7+1}{2}=4$-th value. So the median is $1225$.

Step3: Find the mode

The mode is the value that appears most frequently in the data - set. In this data - set, each value appears only once, so there is no mode.

Answer:

Find the mean word count: A. The mean word count is $1177.9$

Does the mean represent the center of the data? A. The mean represents the center

Find the median word count: A. The median word count is $1225$

Does the median represent the center of the data? A. The median represents the center