Find the five-number summary for the data. {238, 213, 223, 212, 225, 233, 230, 239, 223, 207, 219,
217, 234, 204, 212, 242}
A. 204, 212.5, 223, 233.5, 242
B. 204, 212, 223, 233, 239
OC. 204, 212, 219, 233, 242
OD. 207, 212, 223, 234, 239

The correct option is A. 204, 212.5, 223, 233.5, 242.

Step-by-step explanation:

The five number summary of a data set is:

The data provided, in ascending order is:

S = {204 , 207 , 212 , 212 , 213 , 217 , 219 , 223 , 223 , 225 , 230 , 233 , 234 , 238 , 239 , 242}

There are a total of 16 values in the data set.

The minimum value is,

Minimum = 204

The first quartile is the median value of the first half of the data.

The first half of the data is:

S₁ = {204 , 207 , 212 , 212 , 213 , 217 , 219 , 223 }

The median for even number of observations is the mean of the middle two values.

The first quartile is 212.5.

The median for even number of observations is the mean of the middle two values.

The median of the data is 223.

The third quartile is the median value of the second half of the data.

The first half of the data is:

S₂ = {223 , 225 , 230 , 233 , 234 , 238 , 239 , 242}

The median for even number of observations is the mean of the middle two values.

The third quartile is 233.5.

The maximum value is,

Maximum = 242

1.677

step-by-step explanation:

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