00:01
This problem says the following dot plot represents the number of words in 20 sentences from a book by a certain author, known as author b.
00:08
Given that the mean of this data set is 40 words and the median is 44 words, we're asked to choose three options from the list below that are true.
00:15
And going through our statements, the first statement we're given is that most of the sentence lengths are shorter than the mean, and the mean value here would be 40.
00:22
And we have exactly 10 observations to the left and 10 observations to the right of our mean, so that would not be most of our sentence lengths.
00:30
So that would be an incorrect statement.
00:32
For our next statement, we're told that three data values occurred exactly three times.
00:36
And we do have three observations here, here, and here.
00:42
So that would be our first true statement.
00:45
Next, looking at our third statement, it says the data values are mostly concentrated below 25 words per sentence.
00:51
And 25 words per sentence would fall here.
00:53
And we only have five observations below that.
00:56
So that would be incorrect.
00:57
Next, for our fourth statement, we're told three different data values each occurred exactly twice, and we only have one observation that occurred twice exactly, so that would be incorrect...