Question: An investor purchased $1,000 or stock each month, and over the past 3 months the prices paid per share were $8, $9 and $10. What was the average cost per share?

Shreyans Malani: $8.92

David Geof: and the bonus internet points go to Shreyans

Allen Kaplun: the $9 variable is invalid as the investor would have needed to purchase 111.11 shares.

David Linnell: Lucy, you got a lot of splainning to do

David Geof: or by working out the harmonic mean = 3 / (1/8 + 1/9 + 1/10) = 8.925

Allen Kaplun: Correct. In practice though you’re not able to fully allocate $1000 @ $9.

David Geof: new question tomorrow

David Linnell: Good one, got me but my son knew immediately.

Michael Morse: Tomorrows question today: Can you believe them Cowboys won?

Vincent Wess: Would love to hear more questions and explanations !

Michael Morse: 1) $0.052) 5 minutes3) 47 days

Michael Morse: I was thinking of the bat cost and forgot you wanted the ball.

Michael Morse: My dad told me that one time in college the professor handed out a 4 page test. It took him 2 minutes to finish. He said at the top of the test the instructions said. Sign your name, wait 2 minutes and turn in the test. He said the rest of the class filled out the test. They all got F’s for failure to follow directions. He got the only A.

Allen Kaplun: Michael Morse back then it was funny. Today its a waste of astronomical tuition!

Michael Morse: Seems to me it is a test needed for today’s society that doesn’t read contracts before signing them.

Allen Kaplun: imagine paying $50k a year for your kid to get one of those tests. LMAO.

Chiam CT: $1000 *of stock

Moritz Leonhardt: Love those system-two-thinking riddles! My answer would have been somehow different, though. Playing “Advocatus Diaboli”, you gave us 2 separate statements: [1] “An investor has purchased stock worth 1000$ EACH MONTH” (implicitly omitting a specific time frame) & [2] “Over the past 3 months the prices paid per share were 8$, 9$ and 10$” (syntax leaving room for interpretation as well but let’s keep it to one answer). As potential prices paid in the past before those 3 months as well as the respective timeframe for those acquisitions (pluperfect) are not given, the question for the average cost per share (implying the combined timeframe of [1]&[2] ) can not be answered as [1] lacks information of time. Total amount of investment in [1] is implied in [2] (based on [2] beginning with “and” as well as mentioning “each month” in [1] which is therefore true for [2] as well {Propositional Logic} ) but your arguments lack consideration of total timespan and give answer to a different question, namely: “What was the average cost per share OVER THE LAST 3 MONTHS?”.

Moritz Leonhardt: Just remembered from The big Bang Theory that $8.92 might be considered a possible answer within a range of answers that can be true. Like “Schrödinger’s cat”, the answer is true (“alive”) or false (“dead”) subject to an independent variable.

Michael Morse: Well…if we assume he used market orders and not limit orders…his average price paid could be $10/share.