The data from two random samples of 100 students regarding what pet they own is given below.
sample 1 Dog: 54 Cat: 30 Bird: 8 Total: 100
sample 2: Dog: 39 Cat: 49, Bird: 12, Total: 100
Based on the two samples what percentage of students own a bird as a pet?
___ %
In sample 1, 8 out of 100 students own a bird as a pet, which is 8%.
In sample 2, 12 out of 100 students own a bird as a pet, which is 12%.
Therefore, the average percentage of students owning a bird as a pet from both samples is (8% + 12%) / 2 = 10%.
So, 10% of students own a bird as a pet based on the two samples.
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 number of goals scored by Lacrosse team 1 is ___. The range of the number goals scored by Lacrosse team 2 ___. Based on the range, Lacrosse team ____ has a more consistent number of goals scored.
To find the range of a set of data, you subtract the smallest value from the largest value.
For Lacrosse Team 1:
The range is 17 - 0 = 17
For Lacrosse Team 2:
The range is 23 - 14 = 9
From the calculated ranges:
- Lacrosse Team 1 has a range of 17
- Lacrosse Team 2 has a range of 9
A smaller range indicates less variability in the data, so in this case, Lacrosse Team 2 has a more consistent number of goals scored.
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 of a set of data, you need to first arrange the data in increasing order, and then find the middle value or the average of the two middle values if the total number of values is even.
For Class 1:
Arranging the number of books read in increasing order: 0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 10
Median = the middle value = 5
For Class 2:
Arranging the number of books read in increasing order: 0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10
Median = the middle value = 3
Therefore, the median number of books read during the summer by Class 1 is 5, and the median number of books read during the summer by Class 2 is 3.
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:
Which of the following statements are true? Select all that apply.
1.The mean age of employees from Company A is higher than the mean age of employees from Company B.
2.The median age of employees from Company A is lower than the median age of employees from Company B.
3.The range of ages of employees from Company A is higher than the range of ages of employees from company B.
To determine which of the statements are true, we would need to calculate the mean, median, and range for the ages of the employees from both companies. Since the actual ages have not been provided, we cannot do the calculations.
To evaluate the statements:
1. To determine if the mean age of employees from Company A is higher than Company B, we would calculate the mean age for each company and compare the results.
2. To determine if the median age of employees from Company A is lower than Company B, we would need to calculate the median age for each company and compare.
3. To determine if the range of ages of employees from Company A is higher than Company B, we would find the range of ages for each company and compare.
Without the actual data, we cannot determine which statements are true. If you provide the ages of the employees from both companies, we can perform the calculations to determine the validity of the statements.
oh sorry forgot to add that
The ages of randomly selected employees at two companies are recorded. Their ages are as follows:
Which of the following statements are true? Select all that apply.
Company A: 34, 28, 36, 27, 30, 42, 52, 39, 38, 45
Company B: 29, 32, 51, 49, 33, 36, 45, 43, 44, 51
Which of the following statements are true? Select all that apply.
1. The mean age of employees from Company A is higher than the mean age of employees from Company B.
2. The median age of employees from Company A is lower than the median age of employees from Company B.
3. The range of ages of employees from Company A is higher than the range of ages of employees from company B.
Let's calculate the mean, median, and range for the ages of the employees from both companies.
For Company A:
Ages: 34, 28, 36, 27, 30, 42, 52, 39, 38, 45
Mean age for Company A:
(34 + 28 + 36 + 27 + 30 + 42 + 52 + 39 + 38 + 45) / 10 = 36.1
Median age for Company A:
Since Company A has 10 employees, the median age is the average of the 5th and 6th values when the ages are arranged in ascending order.
After sorting: 27, 28, 30, 34, 36, 38, 39, 42, 45, 52
Median = (36 + 38) / 2 = 37
Range for Company A:
Range = Maximum age - Minimum age
Range = 52 - 27 = 25
For Company B:
Ages: 29, 32, 51, 49, 33, 36, 45, 43, 44, 51
Mean age for Company B:
(29 + 32 + 51 + 49 + 33 + 36 + 45 + 43 + 44 + 51) / 10 = 40.3
Median age for Company B:
Median = (36 + 43) / 2 = 39.5
Range for Company B:
Range = 51 - 29 = 22
Comparing the statements:
1. The mean age of employees from Company A is higher than the mean age of employees from Company B. (True)
2. The median age of employees from Company A is lower than the median age of employees from Company B. (True)
3. The range of ages of employees from Company A is higher than the range of ages of employees from Company B. (True)