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

30 31 34 65 40 53 37 45 71 33

what is the mean? select the correct choice below and, if necessary, fill in the answer box within your choice

a. the mean is 43.9 (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 (round to one decimal place as needed.)

b. there is no median

Explanation:

Step1: Order the data

First, we order the given data set: \(30, 31, 33, 34, 37, 40, 45, 53, 65, 71\).

Step2: Find the median position

The number of data points \(n = 10\), which is even. The median is the average of the \(\frac{n}{2}\)-th and \((\frac{n}{2}+ 1)\)-th values. So, \(\frac{n}{2}=\frac{10}{2}=5\) and \(\frac{n}{2}+ 1=6\).

Step3: Identify the middle values

The 5th value in the ordered data is \(37\) and the 6th value is \(40\).

Step4: Calculate the median

The median is \(\frac{37 + 40}{2}=\frac{77}{2}=38.5\).

Answer:

A. The median is \(38.5\)