Are my answers correct

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 d

3.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

4.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

1. The correct answer is A. The females worked more than the males, and the female Q3 (third quartile) equals the top of the range. This means that the highest value for females is also the value at the upper boundary of the box plot, which affects the statistical measure of the spread.

To determine the correct answer, you need to understand how box plots represent data. In a box plot, the box represents the interquartile range (IQR), which is the range between the first quartile (Q1) and the third quartile (Q3). The line inside the box represents the median. Any values that fall outside the "whiskers" (the lines extending from the box) are considered outliers.

In this case, the female Q3 value being equal to the maximum value suggests that there might be outliers or extreme values in the female data, affecting the spread and center statistical measures.

2. The correct answer is C. It is unlikely, but possible that the July mean could be higher.

To determine the correct answer, you need to compare the box plots for July and August and understand that the median represents the middle value of the data. While the box plots provide information about the spread (through the range between Q1 and Q3) and the center (through the median), they do not directly provide information about the means.

However, by looking at the box plots, you can see that the July median is higher than the August median. This suggests that the July temperatures may generally be higher. Though this does not directly tell us about the means, it makes it more likely that the July mean could be higher.

3. The correct answer is B. The exam median is much higher than the class median.

To determine the correct answer, you need to compare the box plots for the class grades and the exam grades. The median represents the middle value of the data. By comparing the medians, you can see that the exam median is significantly higher than the class median.

4. The correct answer is A. The IQR is a better measure of spread for movies than it is for basketball games.

To determine the correct answer, you need to understand the characteristics of the box plots for movies and basketball games. The IQR, which represents the range between Q1 and Q3, is a measure of spread that accounts for the middle 50% of the data.

By comparing the box plots, you can see that the IQR for movies is larger than the IQR for basketball games. This suggests that the range of values for movies is more spread out than the range of values for basketball games.

Keep in mind that the standard deviation is another measure of spread, but it is not mentioned or applicable to this question. Therefore, the correct answer is that the IQR is a better measure of spread for movies.

To summarize, the correct answers are:

1. C
2. D
3. B
4. A

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