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 d
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 a
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 b
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 d
1. The correct answer is B. The spread and center are skewed due to the fourth quartile missing for the females. In this case, the absence of the maximum value for the female data affects the measurement of spread and center, making them skewed compared to the male data.
2. The correct answer is C. It is unlikely, but possible that the mean temperature in July could be higher than the mean temperature in August. Although the box plot provides information about the median and quartiles, it does not directly provide information about the means. Therefore, we cannot determine with certainty whether the mean temperature is higher in July or in August.
3. The correct answer is A. The class median and exam median are almost the same. Looking at the box plots, the median for the class is approximately 84, while the median for the exam is also around 85. This indicates that, on average, the students' exam grades are very similar to their overall class grades.
4. The correct answer is A. The IQR is a better measure of spread for movies than it is for basketball games. The IQR, or interquartile range, measures the spread or dispersion of the middle 50% of the data. In this case, the IQR for movies (60-125) is larger than the IQR for basketball games (95-145), indicating that the data for movies is more spread out. The standard deviation, on the other hand, measures the overall spread of the data, taking into account all the values, not just the middle 50%.
For question 1, the correct answer is D. The males have a high outlier, and the females have a low outlier. This is because there are values that are significantly different from the rest of the data which can affect the statistical measures of spread and center.
For question 2, the correct answer is A. The August high temperature is above the July median temperature, which makes it difficult to determine which month has a higher mean temperature.
For question 3, the correct answer is B. The exam median is much higher than the class median. This means that the grades on the most recent exam are on average higher compared to the overall grades in the class.
For question 4, the correct answer is B. The standard deviation is a better measure of spread for movies than it is for basketball games. This is because the standard deviation takes into account the variability of each individual data point from the mean, while the IQR only considers the range between the first and third quartiles. Since the box plots for movies have a wider range of values, the standard deviation would provide a better measure of spread.