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 be found or a measure does not represent the center of the data, explain why. 1369 1156 1225 815 1277 1125 1278 \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 \nc. the median does not represent the center because it is not a data value \nd. the median does not represent the center because it is the largest data value \ne. there is no median word count. \nfind the mode of the word counts. select the correct choice below and, if necessary, fill in the answer box to complete your choice \na. the mode(s) of the word counts is (are) \n(round to one decimal place as needed. use a comma to separate answers as needed.) \nb. there is no mode \ndoes (do) the mode(s) represent the center of the data? \na. the mode(s) represent(s) the center \nb. the mode(s) does (do) not represent the center because it (one) is the largest data value \nc. the mode(s) does (do) not represent the center because it (one) is the smallest data value \nd. the mode(s) does (do) not represent the center because it (they) is (are) not a data value \ne. there is no mode

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 be found or a measure does not represent the center of the data, explain why. 1369 1156 1225 815 1277 1125 1278 \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 \nc. the median does not represent the center because it is not a data value \nd. the median does not represent the center because it is the largest data value \ne. there is no median word count. \nfind the mode of the word counts. select the correct choice below and, if necessary, fill in the answer box to complete your choice \na. the mode(s) of the word counts is (are) \n(round to one decimal place as needed. use a comma to separate answers as needed.) \nb. there is no mode \ndoes (do) the mode(s) represent the center of the data? \na. the mode(s) represent(s) the center \nb. the mode(s) does (do) not represent the center because it (one) is the largest data value \nc. the mode(s) does (do) not represent the center because it (one) is the smallest data value \nd. the mode(s) does (do) not represent the center because it (they) is (are) not a data value \ne. there is no mode

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. $n = 7$, $\sum_{i=1}^{7}x_{i}=1369 + 1156+1225 + 815+1277+1125+1278=8245$. $\bar{x}=\frac{8245}{7}\approx1177.9$.

Step2: Calculate 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 $1225$. The median represents the center of the data as it divides the data set into two equal - sized halves.

Step3: Calculate the mode

In the data set $1369,1156,1225,815,1277,1125,1278$, each value appears only once. So there is no mode.

Answer:

  1. Mean: $\approx1177.9$
  2. Median: $1225$, A. The median represents the center
  3. Mode: B. There is no mode, E. There is no mode