The table below contains data about the cost of electricity during a recent month for a random sample of 30 one-bedroom apartments in a large city. Complete parts (a) through (c) below.
a. Construct a frequency distribution and a percentage distribution that have class intervals with the upper class boundaries $99, $119, and so on. |
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a. Construct a frequency distribution and a percentage distribution that have class intervals with the upper-class boundaries $99, $119, and so on.
Construct a frequency distribution. |
Cost ($) |
Frequency |
||
---|---|---|---|---|
80 |
but less than |
100 |
||
100 |
but less than |
120 |
||
120 |
but less than |
140 |
||
140 |
but less than |
160 |
||
160 |
but less than |
180 |
||
180 |
but less than |
200 |
||
200 |
but less than |
220 |
Construct a percentage distribution. |
Cost ($) |
Percentage |
||
---|---|---|---|---|
80 |
but less than |
100 |
% |
|
100 |
but less than |
120 |
% |
|
120 |
but less than |
140 |
% |
|
140 |
but less than |
160 |
% |
|
160 |
but less than |
180 |
% |
|
180 |
but less than |
200 |
% |
|
200 |
but less than |
220 |
% |
|
(Round to two decimal places as needed.) |
b. Construct a cumulative percentage distribution. |
Cost ($) |
Percentage Less Than Indicated Amount |
---|---|---|
80 |
% |
|
100 |
% |
|
120 |
% |
|
140 |
% |
|
160 |
% |
|
180 |
% |
|
200 |
% |
|
220 |
% |
|
(Round to two decimal places as needed.) |
c. Around what amount does the monthly electricity cost seem to be concentrated? Choose the correct answer below.
A.Between
$140
and
$200
B.Between
$80
and
$140
Your answer is not correct.
C.Between
$160
and
$220
D.Between
$120
and
$180
This is the correct answer.
E.Between
$100
and
$160
Below is a frequency distribution, percentage distribution and cumulative percentage distribution table
Class Intervals |
Tally | Frequency |
Relative Frequency |
Percentage Distribution |
Cumulative percentage distribution. |
80-99 | ||| | 3 | 3/30 | 10% | 10% |
100-119 | ||||| | 5 | 5/30 | 16.6667% | 26.6667% |
120-139 | |||||| | 6 | 6/30 | 20% | 46.6667% |
140-159 | |||||| | 6 | 6/30 | 20% | 66.6667% |
160-179 | |||||| | 6 | 6/30 | 20% | 86.6667% |
180-199 | ||| | 3 | 3/30 | 10% | 96.6667% |
200-219 | | | 1 | 1/30 | 3.3333% | 100% |
The monthly electricity cost seem to be concentrated between amount $120 and $180 ,because it has highest number of frequencies.
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