The histogram below shows the average property damage in millions of dollars cau

Question

The histogram below shows the average property damage in millions of dollars caused by tornadoes over a 50-year period in each of the states and Puerto Rico.

1.) From the histogram, which of the following is true? A) It is impossible to compare the mean and median for these data. B) The mean is much smaller than the median. C) The mean and median are approximately equal. D) The mean is much larger than the median.

2.) A Normal density curve has which of the following properties? A) It is symmetric. B) It has a peak centered above its mean. C) The spread of the curve is proportional to the standard deviation. D) All of the above.

3.) The time to complete a standardized exam is approximately Normal with a mean of 70 minutes and a standard deviation of 10 minutes. Using the 68–95–99.7 rule, if students are given 90 minutes to complete the exam, what percent of students will not finish? A) 5% B) 2.5% C) 0.0015% D) 32%

Explanation / Answer

answer of part (1)

total frequecy=25+6+4+3+5+3+2+0+3=51

median class will be 10-20 and in between this

the calculated mean=5*25+15*6+...+85*3=1130/51=22.15

so soption D) mean is much larger than median

answer of part(2)

A) it is symmetric

answer of part(3)

here z=(90-70)/10=2

so answer will be (B)2.5 %

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