Question

listed below are the numbers of doctors office visits made by 8 families during the past year. 14, 10, 13, 11, 5, 3, 11, 11 send data to calculator send data to excel (a) what is the median of this data set? if your answer is not an integer, round your answer to one - decimal place. (b) what is the mean of this data set? if your answer is not an integer, round your answer to one - decimal place. (c) how many modes does the data set have, and what are their values? indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. zero modes one mode: two modes: and

Explanation:

Step1: Arrange data in ascending order

$3,5,10,11,11,11,13,14$

Step2: Calculate the median

Since $n = 8$ (even), median is the average of the $\frac{n}{2}$ - th and $(\frac{n}{2}+ 1)$ - th values. $\frac{n}{2}=4$, $\frac{n}{2}+1 = 5$. Median $=\frac{11 + 11}{2}=11$

Step3: Calculate the mean

Mean $\bar{x}=\frac{3 + 5+10+11+11+11+13+14}{8}=\frac{78}{8}=9.75\approx9.8$

Step4: Determine the mode

The mode is the number that appears most frequently. Here, $11$ appears $3$ times, more frequently than any other number. So there is one mode, which is $11$.

Answer:

(a) $11$
(b) $9.8$
(c) one mode: $11$