A local video game store randomly surveyed 80 customers that visited last month about the type of video game they bought. The manager finds that 3 customers bought racing games. If there are 345 customers that visited that month, approximately how many of them bought racing games? (1 point)
To find the approximate number of customers who bought racing games, we can set up a proportion using the given information:
3 customers bought racing games out of 80 surveyed customers
x customers bought racing games out of 345 total customers
3/80 = x/345
Cross multiply to solve for x:
80x = 3 * 345
80x = 1035
x = 1035/80
x ≈ 12.94
Approximately 13 of the 345 customers who visited that month bought racing games.
Which data set has the highest median?
Keep in mind: If there are an odd number of values, the middle number is the median. IF there are an even number of values, the median is in between the two middle numbers.
O (1,6, 15, 7, 15, 18, 14)
O (8, 20, 13, 14, 12, 9)
O {11, 15. 16, 8, 12, 14}
• (1, 10, 8. 29, 14. 17, 3)
To determine which data set has the highest median, we need to calculate the medians for each data set.
Data Set 1:
(1, 6, 15, 7, 15, 18, 14)
The numbers are already in numerical order. Since there are 7 numbers (an odd number), the middle number will be the median. Therefore, the median for this data set is 15.
Data Set 2:
(8, 20, 13, 14, 12, 9)
The numbers are already in numerical order. Since there are 6 numbers (an even number), we need to find the average of the two middle numbers. The two middle numbers are 13 and 14. Therefore, the median for this data set is (13 + 14)/2 = 13.5.
Data Set 3:
{11, 15, 16, 8, 12, 14}
The numbers are not in numerical order. After arranging them in order, we get: {8, 11, 12, 14, 15, 16}
Since there are 6 numbers (an even number), we need to find the average of the two middle numbers. The two middle numbers are 12 and 14. Therefore, the median for this data set is (12 + 14)/2 = 13.
Data Set 4:
(1, 10, 8, 29, 14, 17, 3)
The numbers are already in numerical order. Since there are 7 numbers (an odd number), the middle number will be the median. Therefore, the median for this data set is 10.
Comparing the medians:
Data Set 1: Median = 15
Data Set 2: Median = 13.5
Data Set 3: Median = 13
Data Set 4: Median = 10
Among the given data sets, Data Set 1 has the highest median of 15.
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?
(1 point)
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
.
To determine the data values that both distributions have in common:
The lowest number on the Cars dot plot is 18, and the lowest number on the S U Vs dot plot is 21.
Since we are looking for the data value in common with the lowest number, the common value between 18 and 21 that both distributions have is 21.
The highest number on the Cars dot plot is 22, and the highest number on the S U Vs dot plot is 25.
Therefore, the data value in common for both distributions with the highest number is 22.
Question
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.
(1 point)
To determine which of the following statements is true:
1. Calculate the mean age for each company:
- Company A: (34 + 28 + 36 + 27 + 45 + 44 + 30 + 42 + 41 + 40 + 50 + 48 + 52 + 45 + 39 + 38) / 16 = 40.06
- Company B: (29 + 32 + 48 + 51 + 49 + 37 + 33 + 35 + 36 + 40 + 45 + 48 + 43 + 43 + 44 + 48) / 16 = 40
The mean age of employees from Company A is 40.06, and the mean age of employees from Company B is 40.
2. Calculate the median age for each company:
- Company A: Arrange the ages in ascending order: 27, 28, 30, 34, 36, 38, 39, 40, 41, 42, 44, 45, 45, 48, 50, 52
Median: (42 + 44) / 2 = 43
- Company B: Arrange the ages in ascending order: 29, 32, 33, 35, 36, 37, 40, 43, 43, 44, 45, 48, 48, 49, 51
Median: (43 + 44) / 2 = 43.5
The median age of employees from Company A is 43, and the median age of employees from Company B is 43.5.
3. Calculate the range of ages for each company:
- Company A: 52 (maximum age) - 27 (minimum age) = 25
- Company B: 51 (maximum age) - 29 (minimum age) = 22
Based on the calculations:
- The mean age of employees from Company A is slightly higher than the mean age of employees from Company B.
- The median age of employees from Company A is slightly 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.
Therefore, the statement that is true is:
- The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
Is that the only one?
My previous response indicated that the following statement is true:
- The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
Let's review the other statements:
- The mean age of employees from Company A is higher than the mean age of employees from Company B.
- The mean age of employees from Company A is 40.06, and the mean age of employees from Company B is 40. Therefore, this statement is false.
- The median age of employees from Company A is lower than the median age of employees from Company B.
- The median age of employees from Company A is 43, and the median age of employees from Company B is 43.5. Therefore, this statement is false.
So, the only true statement is:
- The range of ages of employees from Company A is higher than the range of ages of employees from Company B.