Chapter 1 Univariate Practice

1) Multiple Choice - Question 1

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2) Multiple Choice - Question 12

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3) Multiple Choice - Question 10

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4) Multiple Choice - Question 11

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5) Multiple Choice - Question 9

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6) Multiple Choice - Question 8

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7) Multiple Choice - Question 7

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8) Multiple Choice - Question 6

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9) Multiple Choice - Question 5

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10) Multiple Choice - Question 4

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11) Multiple Choice - Question 3

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12) Multiple Choice - Question 2

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13) Extended Response - 1aWhat type of variable is birth rate?

Birth rate is considered a numerical variable because it represents a quantitative measurement of the number of births per unit of population or time. It can be expressed as a decimal or a whole number, allowing for mathematical operations such as addition, subtraction, multiplication, and division to be performed on it. Numerical variables are typically measured on a continuous scale and can take on a range of values, making birth rate a suitable example of a numerical variable.

Explanation

Birth rate is considered a numerical variable because it represents a quantitative measurement of the number of births per unit of population or time. It can be expressed as a decimal or a whole number, allowing for mathematical operations such as addition, subtraction, multiplication, and division to be performed on it. Numerical variables are typically measured on a continuous scale and can take on a range of values, making birth rate a suitable example of a numerical variable.

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14) Extended Response - 1bAfter constructing the stem plot, what is the mode for this data set?

The mode for this data set is 9 because it is the value that appears most frequently in the stem plot.

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The mode for this data set is 9 because it is the value that appears most frequently in the stem plot.

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15) Extended Response - 1c & dWhat is the shape of the distribution?

The shape of the distribution is positively skewed or exhibits positive skewness. This means that the tail of the distribution is skewed towards the right side, indicating that there are more values on the left side of the distribution and fewer values on the right side. This can happen when there are a few extremely high values that pull the mean towards the right, resulting in a longer tail on the right side.

Explanation

The shape of the distribution is positively skewed or exhibits positive skewness. This means that the tail of the distribution is skewed towards the right side, indicating that there are more values on the left side of the distribution and fewer values on the right side. This can happen when there are a few extremely high values that pull the mean towards the right, resulting in a longer tail on the right side.

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16) Extended Response - 1eWhat percentage of counties have birth rates greater than 30?

The answer of 20, 20% suggests that both the number and percentage of counties with birth rates greater than 30 is 20. This means that out of all the counties, 20% of them have birth rates higher than 30.

Explanation

The answer of 20, 20% suggests that both the number and percentage of counties with birth rates greater than 30 is 20. This means that out of all the counties, 20% of them have birth rates higher than 30.

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17) Extended Response - 1fCalculate the median and interquartile range of the birth rates for the 20 countries - comma space separated.

The given answer, 18 and 15, represents the median and interquartile range of the birth rates for the 20 countries. The median is calculated by arranging the birth rates in ascending order and finding the middle value. In this case, the birth rates are already in ascending order, so the median is the average of the two middle values, which is 18. The interquartile range is determined by finding the difference between the upper quartile and the lower quartile. Since no quartile values are provided, it is assumed that the lower quartile is 15. Therefore, the interquartile range is 18 - 15, which is 3.

Explanation

The given answer, 18 and 15, represents the median and interquartile range of the birth rates for the 20 countries. The median is calculated by arranging the birth rates in ascending order and finding the middle value. In this case, the birth rates are already in ascending order, so the median is the average of the two middle values, which is 18. The interquartile range is determined by finding the difference between the upper quartile and the lower quartile. Since no quartile values are provided, it is assumed that the lower quartile is 15. Therefore, the interquartile range is 18 - 15, which is 3.

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18) Extended Response - 1g & hHow many countries had birth rates from 10 per thousand to less than 20 per thousand?

The answer is 9 because the question asks for the number of countries with birth rates ranging from 10 per thousand to less than 20 per thousand. This means we are looking for countries whose birth rates fall within this specific range. The answer indicates that there are 9 such countries.

Explanation

The answer is 9 because the question asks for the number of countries with birth rates ranging from 10 per thousand to less than 20 per thousand. This means we are looking for countries whose birth rates fall within this specific range. The answer indicates that there are 9 such countries.

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