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
64 76 72 66 69 65 57 61 71 52
what is the mean? select the correct choice below and, if necessary, fill in the answer box within your choice
a. the mean is 65.3 (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 need to order the given numbers: 52, 57, 61, 64, 65, 66, 69, 71, 72, 76. Wait, wait, let's count the numbers. The original data is 64, 76, 72, 66, 69, 65, 57, 61, 71, 52. Let's list them in ascending order: 52, 57, 61, 64, 65, 66, 69, 71, 72, 76. Wait, how many numbers are there? Let's count: 52 (1), 57 (2), 61 (3), 64 (4), 65 (5), 66 (6), 69 (7), 71 (8), 72 (9), 76 (10). So there are 10 numbers.

Step2: Find the median

For a set with an even number of observations, the median is the average of the two middle numbers. The two middle numbers are the 5th and 6th terms. The 5th term is 65 and the 6th term is 66. So we calculate the average of 65 and 66: $\frac{65 + 66}{2} = \frac{131}{2} = 65.5$.

Answer:

A. The median is 65.5 (Round to one decimal place as needed)