Exam 5: Exploring Data: Distributions

Use the following information to answer the Questions: Below is a list of the number of dogs owned by families in a particular neighborhood. 0, 0, 2, 1, 0, 1, 0, 4, 0, 1 -What is the range for these data?

A data set consists of integer values. If the value 7 has relative frequency 2/11, which statement must be true?

Use the following information to answer the Questions: Below are the numbers of errors made by a typist on various pages of typing. 14, 6, 12, 19, 2, 35, 5, 4, 3, 7, 5, 8 -Find the median number of errors.

The annual income of residents in a county is $42,000 with a standard deviation of $10,000. Between what two values do 95% of the incomes of county residents lie?

A student earned three midterm scores as 80, 75, 70 and a final test is left. What is the lowest final score if she wants to get the mean of test scores at least 80?

Use the following information to answer the Questions: Below are the numbers of errors made by a typist on various pages of typing. 14, 6, 12, 19, 2, 35, 5, 4, 3, 7, 5, 8 -Find the third quartile for the number of errors.

Below is a histogram for a set of data. Would you use the five-number summary or the mean and standard deviation to describe these data? Why?

Below are the ages of six patients seen by a pediatrician on one day. Find the standard deviation of the ages. 3, 7, 9, 9, 15, 18

Use the following information to answer the Questions: Below is a list of the number of dogs owned by families in a particular neighborhood. 0, 0, 2, 1, 0, 1, 0, 4, 0, 1 -What is the mean number of dogs owned?

The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.5 years and a standard deviation of 0.75 years. What range of years contains 68% of all battery shelf lives?

Refer to the following frequency distribution to answer the questions: Value 1 2 3 6 Relative frequency 25\% 25\% 15\% 35\% -If the data set contains 20 values, what is the median?

For the following Questions assume that the heights of American women ages 18 to 24 are normally distributed, with mean 64.5 inches and standard deviation 2.5 inches. -Twenty-year-old Amy is 67 inches tall. Where is she located in the height distribution of women ages 18 to 24?

The distribution of home prices in Nirvana is skewed to the left. The median price is $167,900. The mean is:

Use the following data sets to answer the questions: Set A: 1, 2, 3, 4 Set B: 1, 1, 4, 7 Set C: 0, 5, 5, 10 Set D: 6, 6, 6, 6 -Which data set has a median of 2.5?

The scores of students on a standardized test are normally distributed with a mean of 300 and a standard deviation of 40. What is the probability that a randomly chosen student scores below 273 on the test?

The weight of potato chip bags filled by a machine at a packaging plant is normally distributed, with a mean of 15.0 ounces and a standard deviation of 0.2 ounces. What is the probability that a randomly chosen bag will weigh more than 15.6 ounces? A)5% B)2.5% C)0.3% D)0.15%

The mean length of time, per week, that students at a certain school spend on their homework is 24.3 hours, with a standard deviation of 1.4 hours. Assuming the distribution of study times is normal, what percent of students study between 22.9 and 25.7 hours?

Use the following information to answer the following Questions: Below are the ages of 15 students in a college class. 27, 50, 33, 25, 86, 25, 85, 31, 37, 44, 20, 36, 59, 34, 28 -What is the range of the middle 50% of the ages, Q₃ - Q₁?

Below is a list of gas mileage ratings for selected passenger cars in miles per gallon: 53, 43, 89, 41, 85, 86, 91, 92, 95, 94, 86, 102, 114, 30, 123 Choose the correct stemplot of the data.

Two towns both have a mean income for their residents of $30,000. The standard deviation of incomes of residents in town A is $2600, and the standard deviation of incomes of residents in town B is $25,000. Explain what this says about the difference in the distribution of incomes in the two towns.