Answers to quiz from 9/6

Consider the total gross variable of the top 25 movies from 2009 (numbers on the blue sheet).
(12 points) Find the following statistics. Round all answers to the nearest million dollars. Don’t forget the dollar signs.

high = $749,000,000
Q3 = $268,000,000
Q2 (or median) = $180,000,000
Q1 = $146,000,000
low = $121,000,000
IQR = Q3 – Q1 = $122,000,000
High outlier threshold = $451,000,000
Low outlier threshold =-$37,000,000

Is there any outlying data and if so, what is it? Answer: Yes, Avatar at $749,000,000 is an outlier.


(8 points) The data set below is written in stem and leaf form.

14|3
13|
12|
11|
10|8
_9|
_8|5
_7|1578
_6|248
_5|559
_4|23569
_3|002448
_2|5

Find the following statistics. Round any decimal number to the nearest tenth.

n = 25
High = 143
Q3 = 73
Q2 = 55
Q1 =36
Low = 25
x-bar = 57.9
mode = 30, 34, 55