Anthony wants to know the average daily high temperatures in his town during the summer. He chose two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high temperatures in Fahrenheit are as follows.
Sample 1: 78 82 85 87 90 85 79 86 91 88
Sample 2: 81 79 80 86 89 92 82 88 84 87
Find the mean daily high temperatures of each sample and calculate the difference between these mean daily high temperatures.
The mean daily high temperature of Sample 1 is
?
The mean daily high temperature of Sample 2 is
?
The mean daily high temperatures of the two samples differ by
?
The mean daily high temperature of Sample 1 is:
(78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 85.1°F
The mean daily high temperature of Sample 2 is:
(81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10 = 85.8°F
The mean daily high temperatures of the two samples differ by:
85.8°F - 85.1°F = 0.7°F
The data from two random samples of 100 students regarding what pet they own is given below.
Dog Cat Bird Total
Sample 1 54 38 8 100
Sample 2 39 49 12 100
Based on the two samples, what percentage of students own a bird as a pet?
? %
To find the percentage of students who own a bird as a pet, we need to first calculate the total number of students from both samples who own a bird.
From Sample 1, we know that 8 students own a bird.
From Sample 2, we know that 12 students own a bird.
So, in total, 8 + 12 = 20 students from both samples own a bird.
To find the percentage, we divide this number by the total number of students in both samples (200) and multiply by 100:
(20/200) x 100 = 10%
Therefore, based on the two samples, 10% of students own a bird as a pet.
These are the scores for two randomly selected lacrosse teams. Find the range of the number of goals scored by each team. Based on the range, which team has a more consistent number of goals scored?
Lacrosse Team 1: 6 0 4 17 3 12
Lacrosse Team 2: 23 14 22 14 17 22
The range of the number of goals scored by Lacrosse Team 1 is ? The range of the number of goals scored by Lacrosse Team 2 is ? Based on the range, Lacrosse Team
? has a more consistent number of goals scored.
To find the range for each team, we need to subtract the lowest score from the highest score.
For Lacrosse Team 1, the range is:
17 - 0 = 17
For Lacrosse Team 2, the range is:
23 - 14 = 9
Based on the range, Lacrosse Team 2 has a more consistent number of goals scored. This is because their range is smaller, indicating that their scores are more tightly clustered around the middle. In contrast, Lacrosse Team 1 has a larger range, suggesting more variability in their scores.
Use the image to answer the question.
An illustration shows two sets of dot plots. One is titled Gas Mileage in miles per gallon, Cars and the other is Gas Mileage in miles per gallon, S U Vs. The plots are shown as dots in a vertical row over each number on a number line. For Cars, a number line with arrows on both ends ranges from 18 to 22 in increments of 1. There is 1 dot above 18, 2 dots above 19, 3 dots above 20, 2 dots above 21, and 1 dot above 22. For S U Vs, a number line with arrows on both ends ranges from 21 to 25 in increments of 1. There is 1 dot above 21, 1 dot above 22, 2 dots above 23, 2 dots above 24, and 3 dots above 25.
The dot plots show the gas mileage for randomly selected cars and SUVs. Which data values do both distributions have in common?
The data value in common for both distributions with the lowest number is ?
The data value in common for both distributions for the highest number is ?
The dot-plots show the gas mileage for two types of vehicles: cars and SUVs. To determine which data values they have in common, we need to look for overlapping values on the number lines.
For Cars, the data values range from 18 to 22 miles per gallon, in increments of 1.
For SUVs, the data values range from 21 to 25 miles per gallon, in increments of 1.
Therefore, the only data value they have in common is 22, which is the highest value for Cars and the lowest value for SUVs.
So, the data value in common for both distributions with the lowest number is not applicable since they don't have any value in common for the lowest number.
The data value in common for both distributions for the highest number is 22.
Fifteen students are randomly selected from two different classes. They were asked how many books they read during the summer. Their responses are as follows. Find the median number of books read by each class. Which class has a higher median number of books read?
Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2
The median number of books read during the summer by Class 1 is ?
The median number of books read during the summer by Class 2 is ? Class
? has a higher median number of books read during the summer.
To find the median number of books read by each class, we need to first order the responses from least to greatest and then find the middle value(s).
For Class 1, the ordered responses are:
0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 10
Since we have an odd number of responses (15), the median is the middle value, which is 5.
For Class 2, the ordered responses are:
0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10
Again, we have an odd number of responses (15), so the median is the middle value, which is 4.
Therefore, Class 1 has a higher median number of books read during the summer.
The ages of randomly selected employees at two companies are recorded. Their ages are as follows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
The mean age of employees from Company A is higher than the mean age of employees from Company B.
The median age of employees from Company A is lower than the median age of employees from Company B.
The range of ages of employees from Company A is higher than the range of ages of employees from Company B.