Question

he following list contains the average annual total returns (in percentage points) for 9 mutual funds. The mutual funds appear in an online brokerage firm'sall-star" list.-9, 23, 12, 4, 11, 5, 36, 7, 31Send data to calculator(a) What is the mean of this data set? If your answer is not aninteger, round your answer to one decimal place.(b) What is the median of this data set? If your answer is notan integer, round your answer to one decimal place.(c) How many modes does the data set have, and what aretheir values? Indicate the number of modes by clicking in theappropriate circle, and then indicate the value(s) of themode(s), if applicable.00zero modesone mode:two modes: andX

Answer 1

Given

average annual total returns for 9 mutual funds.

-9, 23, 12, 4, 11, 5, 36, 7, 31

Find

a) Mean

b) Median

c) Mode

Step-by-step explanation

a) Mean = sum of observations/ total number of observation

so ,

`\begin{gathered} mean=(-9+23+12+4+11+5+36+7+31)/(9) \\ \\ mean=(120)/(9) \\ \\ mean=13.33333\approx13.3 \end{gathered}`

to find median , we need to arrange in ascending order :

-9 , 4 , 5 , 7 , 11 , 12 , 23 , 31 , 37

there are 9 entries which is an odd number

so , median = (n+1/2)th term

`\begin{gathered} (9+1)/(2) \\ (10th)/(2) \\ 5th \end{gathered}`

so , median = 11

there is no mode because no term is repeating.

Final Answer

Hence ,

mean = 13.3

median = 11

mode - zero mode