A parent wants to estimate the mean word length for the words in a child's board book. They randomly select one of their child's board books which has 8 pages and then randomly select two words off of the page and record the number of letters in each word. The table shows the results from the survey.
Using the sample results estimate the mean word length of any word in the book.
Responses
A 6.63 letters6.63 letters
B 7.11 letters7.11 letters
C 4.12 letters4.12 letters
D 3.34 letters3.34 letters
E 8.32 letters
To estimate the mean word length, we need to calculate the sample mean of the word lengths given in the survey.
The sample mean is calculated by adding up all the word lengths and dividing by the total number of words:
(6.63 + 7.11 + 4.12 + 3.34 + 8.32) / 10 = 5.414
Therefore, the estimate for the mean word length of any word in the book is approximately 5.414 letters.