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question:Tourists and residents are pouring out of the New Jersey shore ahead of Hurricane Irene’s arrival this weekend as the state governor warned: ‘It’s time to get out.’ Summer resort towns are emptying as officials ordered mandatory evacuation of the popular tourist areas along the state's coastal barrier islands. The mandatory evacuations cover all of the state's barrier island beach resorts and at least hundreds of thousands of people are affected by the orders. Convoy: Sport utility vehicles pulling pleasure boats drive in lines of traffic headed north on the Garden State Parkway across the Great Egg Harbor Bay Inlet Bridge on Friday near Ocean City, New Jersey . Getting out: A police officer is on duty outside a convention centre on Friday in Atlantic City, New Jersey, which is being used as an evacuation center for hundreds of city residents fleeing the hurricane's approach . They included evacuation of such heavily visited towns as Wildwood, Ocean City and Avalon, all in Cape May County where the summer tourist population is typically around 750,000 people. ‘This is not like anything you’ve seen before,’ Governor Chris Christie said. ‘I’ve heard some dopes on television today saying a Category 2 hurricane is nothing more than a bad thunderstorm. ‘You stay there at the risk of your life. It’s that simple,’ he added. ‘Now, I want to be really clear to the folks in Cape May, and Atlantic, and Ocean County on the barrier islands. You have to get out.’ In the shore town of Ventnor, also under evacuation orders, veteran visitors and long-time residents said they had never before evacuated for a hurricane, even though the town regularly floods. Well protected: Workers put plywood over windows at the Pilot House restaurant near Washington Mall in Cape May, New Jersey, on Friday, as the town prepares for Hurricane Irene . Helping out: John Dollinger, of Brooklyn, New York, rushes to board up the windows at the Cape May, New Jersey, home of his sister and mother on Friday in preparation for Hurricane Irene . Irene was bearing down on North Carolina on Friday and New Jersey was braced for a weekend battering from the storm, with winds between 96mph and 110mph and storm surges of 6ft to 8ft. ‘This is not like anything you’ve . seen before. I’ve heard some dopes on . television today saying a Category 2 hurricane is nothing more than a . bad thunderstorm. You stay there at the risk of your life. It’s that simple’ New Jersey Governor Chris Christie . Marvin Levey, 75, was unloading sandbags from his car to weigh down the lawn furniture in his Ventnor yard before heading home to Philadelphia. ‘I've been coming down here for over 30 years and never evacuated before,’ he said. ‘I came down to put away anything I could put away.’ Casinos and hotels in Atlantic City were closing down and emptying out as well, with Atlantic County included in the mandatory evacuation order. Governor Christie on Thursday declared a state of emergency for New Jersey ahead of the storm. Mocking signs: Barry Tischler and his wife Susan Tischler move some plywood sheets to board up store fronts on Washington Mall in Cape May . Serious: New Jersey Governor Chris Christie has warned: 'This is not like anything you've seen before' With heavy traffic leaving the Atlantic shore areas, tolls were suspended on the Atlantic City Expressway, which heads directly to Philadelphia. ‘I've been coming down here for over . 30 years and never evacuated before. I came down to put away . anything I could put away' Marvin Levey, 75, of Ventnor, New Jersey . Not everyone felt the pressure to leave, said Michael Holland, 24, a lifeguard at a Ventnor beach. ‘We're supposed to tell people to leave, but they're kind of indifferent to it,’ he said. Nearly a million people could have been covered by the mandatory evacuations depending on how many tourists were in each affected area. All 11 of Atlantic City's casinos are shutting down as the hurricane moves toward the resort city and the rest of New Jersey. It's only the third time they have closed en masse. They will have to shut by noon Saturday. The city's casinos have closed down only twice before - in 1985 for Hurricane Gloria and in 2006 because of a state government shutdown.

answer:New Jersey is bracing for the arrival of Hurricane Irene, with Governor Chris Christie issuing mandatory evacuation orders for all coastal barrier island communities, including popular tourist towns like Wildwood, Ocean City, and Avalon. The storm, expected to bring winds of 96-110 mph and storm surges of 6-8 feet, has prompted the evacuation of hundreds of thousands of residents and tourists. Christie emphasized the severity of the situation, warning that staying in the affected areas could be life-threatening. In preparation, casinos and hotels in Atlantic City are closing, and tolls on the Atlantic City Expressway have been suspended to facilitate the evacuation. Despite the urgency, some residents and visitors remain reluctant to leave. The governor declared a state of emergency on Thursday, and all 11 Atlantic City casinos are set to close by noon on Saturday, marking only the third time they have shut down en masse.

question:I have a dataset of exam scores from a certain school. The average score is 85, the median is 83, and the mode is 90. The standard deviation is 6. What does this tell me about the distribution of the data? Also, what if I told you that a score of 95 is within the 75th percentile? Would that change your interpretation of the data?

answer:Based on the information provided, the data appears to be slightly skewed to the right. The mode (90) is higher than the median (83), which is lower than the mean (85). This suggests that there are more scores clustered around the mode (90), pulling the mean up, but the majority of the scores are below this value, as indicated by the lower median. The relatively low standard deviation (6) indicates that the scores are somewhat consistent, with most students scoring within a narrow range of the average. However, the introduction of a score of 95 being within the 75th percentile changes the interpretation of the data. The 75th percentile is the score below which 75% of the data points fall. A score of 95 being at this percentile indicates that the top quarter of scores are likely spread out over a wider range. This could be due to a tail of high-scoring students, which may be contributing to the skewness of the data. Additionally, the fact that a score as high as 95 is only at the 75th percentile, while the mode is 90, suggests that there may be a ceiling effect in the data. This could be due to the exam being relatively easy for the top students, resulting in a clustering of scores near the top of the scale, with fewer scores spread out below the mode.

question:Please tell me which type of distribution my data has based on the information given.

answer:Based on the information provided, it appears that your data may follow a right-skewed or positively skewed distribution, possibly a leptokurtic distribution (a distribution with a long tail). The presence of a mode (90) that is higher than the median (83), and a mean (85) that is higher than the median, suggests a skew to the right. However, the fact that a score of 95 is only at the 75th percentile suggests that the tail of the distribution may be longer and more pronounced than would be expected in a typical right-skewed distribution. This could indicate a distribution with a long, thin tail, such as a log-normal or gamma distribution. It's worth noting that a more definitive classification of the distribution would require more information, such as a histogram or a Q-Q plot, or a statistical test to determine the goodness of fit to a specific distribution. Based on the summary statistics provided, it's difficult to pinpoint the exact distribution, but a right-skewed distribution with a long tail is a plausible candidate.

question:How does having outliers impact the measures of central tendency?

answer:Outliers can significantly impact the measures of central tendency, particularly the mean. The mean is sensitive to extreme values, and a single outlier can pull the mean in the direction of the outlier. This is because the mean is calculated by summing up all the values and dividing by the number of observations, so a very large or small value can greatly affect the sum. In contrast, the median is more robust to outliers. Since the median is the middle value in an ordered dataset, outliers at the extremes of the dataset do not affect the median as much. As long as the outlier is not so extreme that it changes the middle value, the median remains the same. The mode is typically the least affected by outliers. The mode is the most frequently occurring value in the dataset, so unless the outlier is also the most frequently occurring value (which is unlikely), it will not affect the mode. In the case of your original dataset, if the score of 95 was actually an outlier (e.g., most scores were much lower, but one student scored extremely high), it could be pulling the mean up, while the median and mode remain more representative of the typical scores. However, the fact that a score of 95 is only at the 75th percentile suggests that it may not be an outlier in the classical sense, but rather part of a longer tail of high-scoring students.