13. The mean deviation of $75. families of four spend on food each month? amount
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13. The mean deviation of $75. families of four spend on food each month? amount spent by an American family of four on food is $500 per month with a standard ssuming that the food costsare normaly distributed.what do 99 7% of u s A. between $425 and $575 B. between $350 and $650 C. between $275 and $725 D. between $500 and $650 14.NOVA's soccer coach is evaluating 24 players during the men's soccer tryouts came to try out for the team. 16 played travel soccer throughout high schoo Only 5 players will make it on the team. What is the probability that 4 outof 5 choaan soccer throughout high school? Of the 24 men who played travel thr and 8 men did not A. 0.069 0.06g out high schon theta B. 0.343 C. 0.657 D. 0.931 15. According to the Law of Large Numbers: A. the empirical probabilities converge to the classical ones when the experiment is conducted a large number of times B. the true probability of a process is found with one large experiment conducted one time C. the empirical probabilities of the experiment diminish with large numbers. D. there is no law when it comes to large numbers, so just flip a coin once. 16. In June, an investor purchased 500 shares of Tesla stock at $22 per share during their IPO. She later purchased an additional 300 shares at $28 per share in November and 600 shares at $32 per share in December. What is the weighted mean price per share (her break-even cost per share)? A. $24.00 B. $27.57 C. $29.00 D. $29.75 17. Which measures of central location are not affected by extremely large or extremely small values? A. Standard Deviation and Median B. Mean and Mode C. Standard Deviation and Variance D. Median and Mode 18. Mean single-family home prices in Annandale are $500,000 with a standard deviation of $30,000. Between which two values do 95% of the home prices fall? A. $410,000 and $590,000 B. $440, 000 and $560,000 C. $470,000 and $530,000 D. $500,000 and $560,000 VERSICExplanation / Answer
13
given mean =500 , sd =75
so we know that z score is given as
Z = (X-mean)/SD , from the z table we check the z score for 0.997 = 2.74
putting the value
2.74*75 +500 = X
X = 705 , hence C
17 )
median is not effected by extreme values , as it sorts the data and then find the middle value.
mode is also not effected , as it counts the most frequent value in the dataset , hence resistant to extreme outlliers
Rest of the measures such as standard deviation , mean , variance etc are all effected by extreme values . So D
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