Question

the numbers of words defined on randomly selected pages from a dictionary are shown below. find the mean, median, and mode of the listed numbers. 44 59 73 49 37 50 30 39 63 62
what is the mean? select the correct choice below and, if necessary, fill in the answer box within your choice.
a. the mean is 50.6. (round to one decimal place as needed.)
b. there is no mean.
what is the median? select the correct choice below and, if necessary, fill in the answer box within your choice.
a. the median is 49.5 (round to one decimal place as needed.)
b. there is no median.
what is(are) the mode(s)? select the correct choice below and, if necessary, fill in the answer box within your choice.
a. the mode(s) is(are) (round to one decimal place as needed. use a comma to separate answers as needed.)
b. there is no mode.

Explanation:

Step1: Calculate the mean

Mean = $\frac{44 + 59+73+49+37+50+30+39+63+62}{10}=\frac{506}{10}=50.6$

Step2: Calculate the median

First, arrange the numbers in ascending order: $30,37,39,44,49,50,59,62,63,73$. Since there are 10 (an even - numbered) data points, the median is the average of the 5th and 6th numbers. Median=$\frac{49 + 50}{2}=49.5$

Step3: Calculate the mode

A mode is the number that appears most frequently in a data - set. In the set $\{44,59,73,49,37,50,30,39,63,62\}$, each number appears only once. So there is no mode.

Answer:

What is the mean? A. The mean is 50.6
What is the median? A. The median is 49.5
What is(are) the mode(s)? B. There is no mode