Two friends play a card game 12 times. The winning scores are listed.
\( 253,266,268,278,281,286,295,302,308,315,327,342 \)
Determine the five-number summary of the data. Enter the answer in eacl
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:

Answer

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Answer

Five-number summary: Minimum=253, Q1=267, Q2=290.5 (Median), Q3=321, Maximum=342

Steps

Step 1 ：Sort the data: \( 253,266,268,278,281,286,295,302,308,315,327,342 \)

Step 2 ：Calculate Quartiles: Q1=\( \frac{266+268}{2} = 267 \), Q2=\( \frac{286+295}{2} = 290.5 \), Q3=\( \frac{315+327}{2} = 321 \)

Step 3 ：Five-number summary: Minimum=253, Q1=267, Q2=290.5 (Median), Q3=321, Maximum=342