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 c
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 a
For the first question, the correct answer is A. The females worked more than the males, and the female Q3 equals the top of the range. This indicates that the females' data has a higher spread and higher center compared to the males.
For the second question, the correct answer is A. The August high temperature is above the July median, which suggests that the August mean temperature could be higher than the July mean temperature.
For the third question, the correct answer is B. The exam median is much higher than the class median, indicating that the students performed better on the exam compared to their overall grades in the class.
For the fourth question, the correct answer is A. The IQR (Interquartile Range) is a better measure of spread for movies than it is for basketball games since the IQR captures the spread of the data within the middle 50% of the values, which is more representative for movies where there may be outliers on either end.
1. The correct answer is C. There is a significant outlier at the low end for the females. This can affect the statistical measures of spread and center, as the presence of an outlier can skew the data and change the median and quartile values.
2. The correct answer is D. There is no way to tell what the means are based on the given box plots. Box plots provide information about the distribution of the data, including the median, quartiles, and range, but do not directly provide information about the means.