Question

The table below shows 10 data values:

224 245 203 290 217
236 262 216 224 245


What values of minimum, Q1, median, Q3, and maximum should be used to make a box plot for this data?
Minimum = 203, Q1 = 245, median = 230, Q3 = 217, maximum = 290
Minimum = 203, Q1 =217, median = 230, Q3 = 245, maximum = 290
Minimum = 216, Q1 = 236, median = 240, Q3 = 245, maximum = 262
Minimum = 216, Q1 =245, median = 240, Q3 = 236, maximum = 262

Answer 1

the answer is B :D

Explanation:

Answer 2

The answer is the second option

Minimum = 203, Q1 =217, median = 230, Q3 = 245, maximum = 290

Explanation:

First order the data from lowest to highest

203, 216, 217, 224, 224, 236, 245, 245 ,262 ,290

Minimun = 203

Maximum =290

Now divide the data in half

203, 216, 217, 224, 224, 236, 245, 245 ,262 ,290

Divide half of the first half of the data. The data of the medium is the first quartile

1) 203, 216, [217], 224, 224

Q1

Divide half of the second half of the data. The data of the medium is the third quartile

2) 236, 245, [245] ,262 ,290

Q3

The average between the two values that are in the center of the 10 ordered data is the median

203, 216, 217, 224, [224, 236], 245, 245 ,262 ,290

`Median =(224+236)/(2)=230`

Median=230

The answer is the second option

Minimum = 203, Q1 =217, median = 230, Q3 = 245, maximum = 290