which measure for the center of a small sample set would be most affected by outliers
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ATI TEAS 7

TEAS Test Math Prep

1. Which measure for the center of a small sample set would be most affected by outliers?

Correct answer: A

Rationale: The mean is calculated by summing all values in a dataset and then dividing by the total number of values. Outliers, which are data points significantly different from the other values, can greatly impact the mean because they affect the sum. The mean is sensitive to extreme values, making it the measure for the center of a small sample set most affected by outliers. The median, on the other hand, is not influenced by outliers as it represents the middle value when the data points are ordered. The mode is the value that appears most frequently in the dataset and is not directly influenced by outliers. Therefore, the correct answer is the mean, as it is highly influenced by outliers in a small sample set.

2. What percentage of rainfall received during this timeframe is received during the month of October?

Correct answer: D

Rationale: To determine the percentage of rainfall received during the month of October, we must first calculate the total rainfall for October and the total rainfall for the entire timeframe. Given that the total rainfall for October is 18.9 inches and the total rainfall from January to November is 106.3 inches, we can proceed with the calculation. The percentage is calculated as (18.9/106.3) x 100 = 17.7%. Therefore, the correct answer is D, 17.7%. Choice A (13.50%), Choice B (15.10%), and Choice C (16.90%) are incorrect as they do not align with the accurate calculation based on the provided data.

3. Where is the primary site for nutrient absorption from digested food in the human digestive system?

Correct answer: C

Rationale: The small intestine is the primary site for nutrient absorption in the human digestive system. It is where the majority of digestion and absorption of nutrients from food occurs. The walls of the small intestine are lined with tiny finger-like projections called villi, which increase the surface area available for absorption. Nutrients such as carbohydrates, proteins, fats, vitamins, and minerals are absorbed through the walls of the small intestine and into the bloodstream to be transported to cells throughout the body for energy and other functions. The esophagus is a muscular tube that connects the throat to the stomach and plays a role in swallowing, not nutrient absorption. The large intestine primarily absorbs water and electrolytes from the remaining indigestible food matter after the absorption of nutrients in the small intestine. The stomach mainly functions in the mechanical and chemical breakdown of food through muscular contractions and the secretion of digestive enzymes.

4. In the suburban neighborhood of Northwoods, there has been a large population of deer, and residents have complained about them eating flowers and garden plants. What would be a logical explanation for the large increase in the deer population over the last two seasons?

Correct answer: B

Rationale: The correct answer is B because a decrease in natural predators can lead to an increase in the deer population as there are fewer predators to control their numbers. This explanation aligns with the situation described in the question, where the deer population has increased, causing issues for residents. Choice A is incorrect because an increase in food sources would not directly explain the increase in the deer population. Choice C is incorrect as it introduces a new factor of migration which is not mentioned in the question. Choice D is incorrect as an increase in hunting licenses sold would likely have the opposite effect on the deer population.

5. As a company's stocks increase, production, sales, and investments also increase. Which of the following is the independent variable?

Correct answer: B

Rationale: The independent variable in this scenario is 'Stocks.' An independent variable is the one that is manipulated or controlled by the experimenter. In this case, stocks are the factor that is changing and influencing the other variables - production, sales, and investments. Production, sales, and investments are dependent on the changes in stocks; hence, they are the dependent variables. While production, sales, and investments may increase as a result of changes in stocks, the stocks themselves are the driving force behind these changes, making them the independent variable.

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