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A set of practice questions and answers for the sophia intro to statistics milestone 2 exam. It covers various topics including measures of center, shape of a sampling distribution, five number summary and boxplots, standard deviation, outliers, and more. Designed to help students prepare for the exam by providing them with a comprehensive understanding of the key concepts and principles.
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You passed Intro to Statistics Milestone 2 1 In which of these cases should mode be used?
When the data is represented using ratio scale
If the data is qualitative, it is only descriptive. In this case, the mode is a good measure since the mode examines the most frequently occurring value. The data can be non-numeric.
Measures of Center 2 Which of the following statements is true?
According to the Central Limit Theorem, the mean of the sampling distribution is greater than the standard deviation.
64
RATIONALE The standard deviation of the sampling distribution, , is equal to the standard deviation of the original population, , divided by the square root of the sample size,. If the standard deviation of the population is 14 and the sample size is 64, then the standard deviation of the sampling distribution is: CONCEPT 5 Center and Variation of a Sampling Distribution The mean of any standard normal distribution is.
A distribution in which two distinct values are more frequent than the other values.
73.4%
17.6%
RATIONALE The dotplot is a number line that shows the number of items at each value, which is designated with an X. So the largest value we can see is at 10. CONCEPT Dot Plots 11 Select the statement that is TRUE.
RATIONALE Recall that the interquartile range is the difference between Q3 and Q1 and can be calculated by subtracting the first quartile from the third quartile: CONCEPT
Range and Interquartile Range (IQR) 12 The formula for the standard deviation of a sample is: Select the true statement for the following data set that has a mean of 6.75: 4, 6, 7, 10 Answer choices are rounded to the hundredths place.
CONCEPT 1 Stack Plots 4 Jerry graded seven standardized tests with the following scores: 60, 74, 41, 87, 94, 79, 57 Which standardized test score represents the 50th percentile?
Which of the following is NOT a step used in calculating standard deviation?
RATIONALE To get the relative cumulative frequency of 21 or greater, we need to first find the cumulative number of 21 or more. We simply add up any bin that has the number 21 or more, such as the bin that shows scores of 21-25, 26-30, 31-35, and 36-40. This would be: To calculate relative cumulative frequency, we will take this cumulative number and divide it by the total number of students. CONCEPT Cumulative Frequency 19 The average daily rainfall for the past week in the town of Hope Cove is normally distributed, with a mean rainfall of 2.1 inches and a standard deviation of 0.2 inches. If the distribution is normal, what percent of data lies between 1.9 inches and 2.3 inches of rainfall?
The approximate percent of values lying within three standard deviations of the mean is 49.85%.
The center of the data set
An outlier in the data set RATIONALE Since Ralph is looking at the variation of data, this is examining the spread of the data. CONCEPT Data Analysis 22 The midterm exam scores obtained by boys and girls in a class are listed in the table below What does the circled section represent?