Question

Pren recorded this data set, which contains an outlier. 204, 216, 111, 224, 230, 211, 210, 198, 200, 218 What numbers represent the range, lower quartile, and upper quartiles?
A. Range: 210.5
lower quartile: 200
upper quartile: 218

B. Range: 14
lower quartile: 111
upper quartile: 198

C. Range: 119
lower quartile: 218
upper quartile: 200

D. Range: 119
lower quartile: 200
upper quartile: 218

Answer 1

Range = highest number - lowest number...so the range is 230 - 111 = 119 

to find the quartiles, we have to put the numbers in order...
111,198,200,204,210,211,216,218,224,230
Q1 ...lower quartile = 200 <===
Q2 ...the middle number = (210 + 211) / 2 = 421/2 = 210.5
Q3...upper quartile = 218 <===

Answer 2

Answer:

The correct option is D.

Step-by-step explanation:

The given data is

204, 216, 111, 224, 230, 211, 210, 198, 200, 218

Arrange the data in ascending order,

111, 198, 200, 204, 210, 211, 216, 218, 224, 230

The range is the difference between maximum value and minimum value.

$Range=\text{upper limit}-\text{lower limit}$

$Range=230-111=119$

Divide the data it two equal parts.

(111, 198, 200, 204, 210), (211, 216, 218, 224, 230)

Now divide the each in two equal parts.

(111, 198), 200, (204, 210), (211, 216), 218, (224, 230)

The mid value of first part is 200 and the mid value of second part is 218.

$\text{lower quartile}=Q_1=200$

$\text{Upper quartile}=Q_3=218$

Therefore option D is correct.