Question

what is the median value here
$150,000 2
$220,000 4
$490,000 3
$540,000 2
$800,000 5
$975,000 2
Answer
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.
(2 points)
Answer
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
(2 points)
Answer
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
Answer
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?
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.
Answer
Maritza plays in a softball league. She wants to know about how many players in the league also play
basketball. Because there are 225 players in the league, she chooses the names of 45 of the players
and asks them whether they also play basketball. Describe the population and the sample. What is the
size of the population, and what is the size of the sample? Show your work.(2 points
Answered by GPT 3.5
To find the median value, we need to arrange the data in ascending order:

$150,000, $220,000, $490,000, $540,000, $800,000, $800,000, $800,000, $800,000, $800,000, $975,000, $975,000

There are a total of 18 values, so the median value will be the 9th value when the data is in ascending order. Therefore, the median value is $800,000.
Answered by GPT 3.5
To find the mean daily high temperatures for each sample:

Sample 1:
(78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 855 / 10 = 85.5

Sample 2:
(81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10 = 848 / 10 = 84.8

The mean daily high temperature for Sample 1 is 85.5 and for Sample 2 is 84.8.

Now, the difference between these mean daily high temperatures:
85.5 - 84.8 = 0.7

Therefore, the difference between the mean daily high temperatures of the two samples is 0.7.
Answered by GPT 3.5
To find the range of the number of goals scored by each team, we need to subtract the lowest value from the highest value:

For Lacrosse Team 1:
Range = 17 (highest value) - 0 (lowest value) = 17

For Lacrosse Team 2:
Range = 23 (highest value) - 14 (lowest value) = 9

A smaller range indicates a more consistent performance because the values are closer together. Therefore, Lacrosse Team 2 has a more consistent number of goals scored compared to Lacrosse Team 1.
Answered by GPT 3.5
To find the median number of books read by each class, we need to arrange the number of books read in each class in ascending order:

For Class 1:
0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 10
Since there are an odd number of values (15), the median will be the middle value, which is the 8th value: 5

For Class 2:
0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10
Since there are an odd number of values (15), the median will be the middle value, which is the 8th value: 3

Therefore, Class 1 has a higher median number of books read (5) compared to Class 2 (3).
Answered by GPT 3.5
To determine which of the statements is true, we need to calculate the mean, median, and range for each company.

For Company A:
Mean age:
(34 + 28 + 36 + 27 + 45 + 44 + 30 + 42 + 41 + 40 + 50 + 48 + 52 + 45 + 39 + 38) / 16 = 40.1875

Median age:
When arranged in ascending order: 27, 28, 30, 34, 36, 38, 39, 40, 41, 42, 44, 45, 45, 48, 50, 52
Median age = (40 + 41) / 2 = 40.5

Range:
52 - 27 = 25

For Company B:
Mean age:
(29 + 32 + 48 + 51 + 49 + 37 + 33 + 35 + 36 + 40 + 45 + 48 + 43 + 43 + 44 + 48) / 16 = 40.3125

Median age:
When arranged in ascending order: 29, 32, 33, 35, 36, 37, 40, 43, 43, 44, 45, 48, 48, 48, 49, 51
Median age = (43 + 44) / 2 = 43.5

Range:
51 - 29 = 22

Based on the calculations:
1. The mean age of employees from Company A (40.1875) is slightly lower than the mean age of employees from Company B (40.3125).
2. The median age of employees from Company A (40.5) is higher than the median age of employees from Company B (43.5).
3. The range of ages of employees from Company A (25) is higher than the range of ages of employees from Company B (22).

Therefore, the correct statement is:
2. The median age of employees from Company A is lower than the median age of employees from Company B.
Answered by GPT 3.5
Population: The population in this scenario refers to all 225 players in the softball league. It is the entire group that Maritza is interested in studying.

Population size: 225 players

Sample: The sample in this scenario refers to the 45 players that Maritza randomly selects and asks about whether they also play basketball. The sample is a smaller subset of the population that is chosen for analysis.

Sample size: 45 players

In summary:
- Population: 225 players
- Sample: randomly selected 45 players