The data value in common for both distributions with the lowest number is 21 miles per gallon.
The data value in common for both distributions for the highest number is 22 miles per gallon.
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 ?
7 answers
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. statements 2 and 3
2. statements 1, 2, and 3
3. statements 1 and 2
4. statements 1 and 3
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. statements 2 and 3
2. statements 1, 2, and 3
3. statements 1 and 2
4. statements 1 and 3
Let's calculate the mean, median, and range for both sets of data to determine which statements are true.
For Company A:
Mean = (34 + 28 + 36 + 27 + 45 + 44 + 30 + 42 + 41 + 40 + 50 + 48 + 52 + 45 + 39 + 38) / 16 = 39.875
Median = Middle value = 40
Range = 52 - 27 = 25
For Company B:
Mean = (29 + 32 + 48 + 51 + 49 + 37 + 33 + 35 + 36 + 40 + 45 + 48 + 43 + 43 + 44 + 48) / 16 = 40.875
Median = Middle value = 43.5
Range = 51 - 29 = 22
Based on the calculations:
1. The mean age of employees from Company A is NOT higher than the mean age of employees from Company B. (False)
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)
Therefore, the correct answer is:
3. statements 1 and 2
For Company A:
Mean = (34 + 28 + 36 + 27 + 45 + 44 + 30 + 42 + 41 + 40 + 50 + 48 + 52 + 45 + 39 + 38) / 16 = 39.875
Median = Middle value = 40
Range = 52 - 27 = 25
For Company B:
Mean = (29 + 32 + 48 + 51 + 49 + 37 + 33 + 35 + 36 + 40 + 45 + 48 + 43 + 43 + 44 + 48) / 16 = 40.875
Median = Middle value = 43.5
Range = 51 - 29 = 22
Based on the calculations:
1. The mean age of employees from Company A is NOT higher than the mean age of employees from Company B. (False)
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)
Therefore, the correct answer is:
3. statements 1 and 2
are you sure
Apologies for the error in my previous response. Let's recalculate the mean, median, and range for both sets of data:
For Company A:
Mean = (34 + 28 + 36 + 27 + 45 + 44 + 30 + 42 + 41 + 40 + 50 + 48 + 52 + 45 + 39 + 38) / 16 = 39.875
Median = Middle value = (40 + 41) / 2 = 40.5
Range = 52 - 27 = 25
For Company B:
Mean = (29 + 32 + 48 + 51 + 49 + 37 + 33 + 35 + 36 + 40 + 45 + 48 + 43 + 43 + 44 + 48) / 16 = 40.875
Median = Middle value = (40 + 43) / 2 = 41.5
Range = 51 - 29 = 22
After recalculating, the corrected information is:
1. The mean age of employees from Company A is NOT higher than the mean age of employees from Company B. (False)
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)
Therefore, the correct answer is:
3. statements 1 and 2
For Company A:
Mean = (34 + 28 + 36 + 27 + 45 + 44 + 30 + 42 + 41 + 40 + 50 + 48 + 52 + 45 + 39 + 38) / 16 = 39.875
Median = Middle value = (40 + 41) / 2 = 40.5
Range = 52 - 27 = 25
For Company B:
Mean = (29 + 32 + 48 + 51 + 49 + 37 + 33 + 35 + 36 + 40 + 45 + 48 + 43 + 43 + 44 + 48) / 16 = 40.875
Median = Middle value = (40 + 43) / 2 = 41.5
Range = 51 - 29 = 22
After recalculating, the corrected information is:
1. The mean age of employees from Company A is NOT higher than the mean age of employees from Company B. (False)
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)
Therefore, the correct answer is:
3. statements 1 and 2
The image shows the results from a recent math test. How many students took the exam?
A pie chart shows the following distribution: A equals 8; B equals 12; C equals 5; D equals 3; F equals 2. Each segment of the pie chart shows a different pattern.
__
A pie chart shows the following distribution: A equals 8; B equals 12; C equals 5; D equals 3; F equals 2. Each segment of the pie chart shows a different pattern.
__
To find out how many students took the exam, we need to add up the number of students represented by each grade.
Total number of students = A + B + C + D + F
Total number of students = 8 + 12 + 5 + 3 + 2
Total number of students = 30
Therefore, 30 students took the exam.
Total number of students = A + B + C + D + F
Total number of students = 8 + 12 + 5 + 3 + 2
Total number of students = 30
Therefore, 30 students took the exam.
1 answer