Question

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question.

Listed below are the amounts​ (dollars) it costs for marriage proposal packages at different sports venues. Are there any​ outliers?

39
60
60
65
65
65
75
85
100
125
175
175
225
234
250
250
350
375
400
450
450
450
450
2500
3000

a. Find the mean.

The mean is

​$nothing.

​(Type an integer or a decimal rounded to two decimal places as​ needed.)

b. Find the median.

The median is

​$nothing.

​(Type an integer or a decimal rounded to two decimal places as​ needed.)

c. Find the mode.

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.The​ mode(s) is(are)

​$nothing.

​(Type an integer or a decimal. Do not round. Use a comma to separate answers as​ needed.)

B.

There is no mode.

d. Find the midrange.

The midrange is

​$nothing.

​(Type an integer or a decimal rounded to two decimal places as​ needed.)

e. Are there any​ outliers? Choose the correct answer below.

A.The values

​$3939

and

​$30003000

appear to be outliers.

B.The values

​$25002500

and

​$30003000

appear to be outliers.

C.

There do not appear to be any outliers.

D.The values

​$3939​,

​$25002500​,

and

​$30003000

appear to be outliers.

Click to select your answer(s).

Answer 1

Solution: Given that
39,60,60,65,65,65,75,85,100,125,175,175,225,234,250,250,350,375,400,450,450,450,450,2500,3000

(a) Mean = sum of terms/number of terms = 10473/25 = 418.92

(b) Median = 225

Explanation

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

39 60 60 65 65 65 75 85 100 125 175 175 225 234 250 250 350 375 400 450 450 450 450 2500 3000   

So, the median is 225 .

(c) Mode = 450

Explanation

The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

39 60 60 65 65 65 75 85 100 125 175 175 225 234 250 250 350 375 400 450 450 450 450 2500 3000   

We see that the mode is 450 .

(d) The midrange is 1519.50

midrange = (Max + min)/2 = (3000 + 39)/2 = 1519.5

(e) option B.The values $2500 and $3000\