1.Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots:
two box plots shown. The top one is labeled Males. Minimum at 1, Q1 at 3, median at 10.5, Q3 at 14, maximum at 21. The bottom box plot is labeled Females. Minimum at 0, Q1 at 15, median at 18, Q3 at 21, no maximum shown
Identify any values of data that might affect the statistical measures of spread and center.
A. The females worked more than the males and the female Q^3 equals the top of the range
B. The spread and center are skewed due to the fourth quartile missing with the females.
C. There is a significant outlier at the low end for the females
D. The males have a high outlier, and the females have a low outier
I think its c
2.The box plots below show the average daily temperatures in July and August for a U.S. city:
two box plots shown. The top one is labeled July. Minimum at 80, Q1 at 88, median at 96, Q3 at 103, maximum at 105. The bottom box plot is labeled August. Minimum at 80, Q1 at 82, median at 84, Q3 at 90, maximum at 100
What can you tell about the means for these two months?
A. The august high is above the July median. This makes it hard to know about the means
B. Both months have the same low temperature. This makes it hard to know about the means
C. Its unlikely, but possible that the july mean could be higher.
D. There is no way to tell what the means are
I think its b
1.The box plots below show student grades on the most recent exam compared to overall grades in the class:
two box plots shown. The top one is labeled Class. Minimum at 68, Q1 at 71, median at 84, Q3 at 89, maximum at 100. The bottom box plot is labeled Exam. Minimum at 55, Q1 at 76, median at 85, Q3 at 94, maximum at 100
Which of the following best describes the information about the medians?
A. The class and exam medians are almost the same
B. The exam median is much higher than the class median
C. The class and exam q^3 are the same, but the exam has the lowest median
D. The low outlier on exams pulls the median lower.
I think its d
2.The box plots below show attendance at a local movie theater and high school basketball games:
two box plots shown. The top one is labeled Movies. Minimum at 60, Q1 at 65, median at 95, Q3 at 125, maximum at 150. The bottom box plot is labeled Basketball games. Minimum at 90, Q1 at 95, median at 125, Q3 at 145, maximum at 150.
Which of the following best describes how to measure the spread of the data?
A. The IQR is a better measure of spread for movies than it is for basketball games
B. The standard deviation is a better measure of spread for movies than it is for basketball games
C. The IQR is the best measurement of spread for games and movies.
D. The standard deviation is the best measurement of spread for games and movies
I think its c
1. The correct answer is C. There is a significant outlier at the low end for the females. In the given box plots, the females have a minimum value of 0, which is significantly lower than the other values in their data set. This outlier will affect the statistical measures of spread and center, such as the range, quartiles, and median.
2. The correct answer is A. The August high temperature is above the July median temperature, making it difficult to determine which month has the higher mean. Without knowing the specific values of the temperatures, it is uncertain if the July mean could be higher than the August mean. Therefore, option C is not necessarily true.
3. The correct answer is D. The low outlier on exams pulls the median lower. In the given box plots, the exam box plot has a minimum value of 55, which is significantly lower than the other values in the data set. This low outlier will pull the median of the exam grades lower, affecting the comparison between the medians of the class and exam.
4. The correct answer is C. The IQR (Interquartile Range) is the best measurement of spread for games and movies. The IQR represents the range between the first quartile (Q1) and the third quartile (Q3) and provides a measure of dispersion for the middle 50% of the data. Both box plots show similar IQR values, making it a suitable measure of spread for both sets of data. The given information doesn't provide any indication that the standard deviation should be preferred over the IQR.
1. The correct answer is C. There is a significant outlier at the low end for the females. This outlier can affect the statistical measures of spread and center, such as the mean and median, by pulling them lower than they would be without the outlier.
2. The correct answer is A. The August high temperature is above the July median temperature, which makes it difficult to determine the means for these two months. Without additional information, we cannot determine the means solely based on the box plots.
1. The correct answer is A. The class and exam medians are almost the same. The median for the class is 84, and the median for the exam is 85. Both medians are close in value, indicating a similar central tendency for the class grades and exam grades.
2. The correct answer is C. The IQR is the best measurement of spread for games and movies. The Interquartile Range (IQR) measures the spread of the data by looking at the range between the first quartile (Q1) and the third quartile (Q3). In this case, the IQR provides useful information about the spread of attendance at movies and basketball games.