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 (round to one decimal place as needed.)
b. there is no mean.

Explanation:

Step1: Calculate sum of numbers

$44 + 59+73 + 49+37+50+30+39+63+62=516$

Step2: Calculate number of data - points

There are $n = 10$ numbers.

Step3: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}=\frac{516}{10}=51.6$

Step4: Arrange data in ascending order

$30,37,39,44,49,50,59,62,63,73$

Step5: Calculate the median

Since $n = 10$ (an even - numbered data set), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered values. $\frac{n}{2}=5$ and $\frac{n}{2}+1 = 6$. The 5th value is $49$ and the 6th value is $50$. Median $=\frac{49 + 50}{2}=49.5$

Step6: Find the mode

No number repeats in the data - set, so there is no mode.

Answer:

The mean is $51.6$, the median is $49.5$, and there is no mode. For the multiple - choice part about the mean, the answer is A. The mean is $51.6$.