Question
Question 16
A)
Noah was asked to find the median of the following numbers.
Noah’s work is shown below.
What error, if any, did Noah make?
(1 point)
Responses
He forgot to put the numbers in order first.
He forgot to put the numbers in order first.
He did not make any error.
He did not make any error.
He crossed off the high/low number pairs incorrectly.
He crossed off the high/low number pairs incorrectly.
He left out a number when putting the numbers in order.
He left out a number when putting the numbers in order.
Question 17
A)
Kellan collected two sets of data and recorded then in the table.
Set 1 Set 2
22 12
34 51
43 23
25 37
56 8
(3 points)
The range of Set 1 is
.
The range of Set 2 is
.
has a wider spread.
Question 18
A)
A grocery store surveys its customers to determine which day they prefer to shop for food. The bar graph shows the results of the survey.
What percentage of customers prefers to shop on Friday or Saturday?
Type the numerical value into the box. Do not type the percentage symbol.
(1 point)
$$ %
Question 19
A)
Johanna graphed the number of calls she made during one day. How many calls were made before 4 p.m.?
Type the numerical answer into the box.
(1 point)
$$ calls
Question 20
A)
Kate recorded the number of minutes she read each day for the last two weeks in the table.
How can Kate figure out which week had the larger range in minutes read?
(1 point)
Responses
1. Find the difference between the Sunday and Saturday minutes for each week.
2. Compare the ranges.
Week 1 had the larger range in minutes.
1. Find the difference between the Sunday and Saturday minutes for each week. 2. Compare the ranges. Week 1 had the larger range in minutes.
1. Put the numbers in order from least to greatest.
2. Find the range for each week.
3. Compare the ranges.
Week 1 had the larger range in minutes.
1. Put the numbers in order from least to greatest. 2. Find the range for each week. 3. Compare the ranges. Week 1 had the larger range in minutes.
1. Put the numbers in order from least to greatest.
2. Find the range for each week.
3. Compare the ranges.
Week 2 had the larger range in minutes.
1. Put the numbers in order from least to greatest. 2. Find the range for each week. 3. Compare the ranges. Week 2 had the larger range in minutes.
1. Find the difference between the Sunday and Saturday minutes for each week.
2. Compare the ranges.
Week 2 had the larger range in minutes.
1. Find the difference between the Sunday and Saturday minutes for each week. 2. Compare the ranges. Week 2 had the larger range in minutes.
Question 21
A)Clarice graphed the amount of money in her savings account during the past six months on the line graph.
(2 points)
A change of $40 occurred between month
and month
.
Question 22
A)Use the data set to determine which statements are correct. Check the four that apply.
23, 45, 39, 57, 31, 53, 28, 50, 42, 36(4 points)
Responses
The lower quartile is 31.
The lower quartile is 31.
The median is 40.5.
The median is 40.5.
The upper quartile is 50.
The upper quartile is 50.
The lower quartile is 36.
The lower quartile is 36.
The interquartile range is 19.
The interquartile range is 19.
The upper quartile is 53.
The upper quartile is 53.
The median is 41.
The median is 41.
A)
Noah was asked to find the median of the following numbers.
Noah’s work is shown below.
What error, if any, did Noah make?
(1 point)
Responses
He forgot to put the numbers in order first.
He forgot to put the numbers in order first.
He did not make any error.
He did not make any error.
He crossed off the high/low number pairs incorrectly.
He crossed off the high/low number pairs incorrectly.
He left out a number when putting the numbers in order.
He left out a number when putting the numbers in order.
Question 17
A)
Kellan collected two sets of data and recorded then in the table.
Set 1 Set 2
22 12
34 51
43 23
25 37
56 8
(3 points)
The range of Set 1 is
.
The range of Set 2 is
.
has a wider spread.
Question 18
A)
A grocery store surveys its customers to determine which day they prefer to shop for food. The bar graph shows the results of the survey.
What percentage of customers prefers to shop on Friday or Saturday?
Type the numerical value into the box. Do not type the percentage symbol.
(1 point)
$$ %
Question 19
A)
Johanna graphed the number of calls she made during one day. How many calls were made before 4 p.m.?
Type the numerical answer into the box.
(1 point)
$$ calls
Question 20
A)
Kate recorded the number of minutes she read each day for the last two weeks in the table.
How can Kate figure out which week had the larger range in minutes read?
(1 point)
Responses
1. Find the difference between the Sunday and Saturday minutes for each week.
2. Compare the ranges.
Week 1 had the larger range in minutes.
1. Find the difference between the Sunday and Saturday minutes for each week. 2. Compare the ranges. Week 1 had the larger range in minutes.
1. Put the numbers in order from least to greatest.
2. Find the range for each week.
3. Compare the ranges.
Week 1 had the larger range in minutes.
1. Put the numbers in order from least to greatest. 2. Find the range for each week. 3. Compare the ranges. Week 1 had the larger range in minutes.
1. Put the numbers in order from least to greatest.
2. Find the range for each week.
3. Compare the ranges.
Week 2 had the larger range in minutes.
1. Put the numbers in order from least to greatest. 2. Find the range for each week. 3. Compare the ranges. Week 2 had the larger range in minutes.
1. Find the difference between the Sunday and Saturday minutes for each week.
2. Compare the ranges.
Week 2 had the larger range in minutes.
1. Find the difference between the Sunday and Saturday minutes for each week. 2. Compare the ranges. Week 2 had the larger range in minutes.
Question 21
A)Clarice graphed the amount of money in her savings account during the past six months on the line graph.
(2 points)
A change of $40 occurred between month
and month
.
Question 22
A)Use the data set to determine which statements are correct. Check the four that apply.
23, 45, 39, 57, 31, 53, 28, 50, 42, 36(4 points)
Responses
The lower quartile is 31.
The lower quartile is 31.
The median is 40.5.
The median is 40.5.
The upper quartile is 50.
The upper quartile is 50.
The lower quartile is 36.
The lower quartile is 36.
The interquartile range is 19.
The interquartile range is 19.
The upper quartile is 53.
The upper quartile is 53.
The median is 41.
The median is 41.
Answers
Answered by
GPT-4o mini
Let's go through each question one by one.
### Question 16
Noah was asked to find the median of some numbers, but it's stated there was a potential error in his work. The most common mistake when calculating a median is forgetting to put the numbers in order first. Assuming this is the situation, the correct response would be:
- **He forgot to put the numbers in order first.**
### Question 17
To find the range for both sets of data:
**Set 1:** 22, 34, 43, 25, 56
- Minimum = 22
- Maximum = 56
- Range = Maximum - Minimum = 56 - 22 = **34**
**Set 2:** 12, 51, 23, 37, 8
- Minimum = 8
- Maximum = 51
- Range = Maximum - Minimum = 51 - 8 = **43**
Now compare the ranges:
- Range of Set 1 is 34.
- Range of Set 2 is 43.
- **Set 2 has a wider spread.**
### Question 18
The percentage of customers who prefer to shop on Friday or Saturday would typically be found by adding the values from the bar graph for those two days and then dividing that total by the total number of survey respondents, then multiplying by 100 for percentage. However, without specific numbers, I cannot provide the answer.
### Question 19
To find out how many calls were made before 4 p.m., one would need specific data from Johanna's graph indicating the number of calls made before 4 p.m. Since this information is missing, I cannot provide a numerical answer.
### Question 20
To figure out which week had the larger range in minutes read, the correct method would be:
- **1. Put the numbers in order from least to greatest.**
- **2. Find the range for each week.**
- **3. Compare the ranges.**
Assuming this is the process Kate needs to follow, the response would be:
- **1. Put the numbers in order from least to greatest. 2. Find the range for each week. 3. Compare the ranges.**
### Question 21
Clarice graphed money in her savings account, and the specific months were not provided. Without the values seeing a change of $40, I cannot specify which two months corresponded to that change.
### Question 22
To address the statements about the data set (23, 45, 39, 57, 31, 53, 28, 50, 42, 36), we can calculate:
1. **Order the data:** 23, 28, 31, 36, 39, 42, 45, 50, 53, 57
2. **Lower quartile (Q1):** Median of the first half (23, 28, 31, 36) = (28 + 31) / 2 = 29.5 (so this doesn't match any provided statements).
3. **Median:** Middle value (39 + 42) / 2 = 40.5.
4. **Upper quartile (Q3):** Median of the second half (42, 45, 50, 53, 57) = (50 + 53) / 2 = 51.5 (none of the provided statements correlate).
5. **Interquartile range (IQR):** Q3 - Q1 = 51.5 - 29.5 = 22.
The correct statements from the responses are:
- **The median is 40.5.**
- **The upper quartile is 53.**
Note: The statements regarding the lower quartile and interquartile range provided in the options do not match the calculations performed.
---
If you have specific numbers or other information to clarify answers to certain questions, please provide them!
### Question 16
Noah was asked to find the median of some numbers, but it's stated there was a potential error in his work. The most common mistake when calculating a median is forgetting to put the numbers in order first. Assuming this is the situation, the correct response would be:
- **He forgot to put the numbers in order first.**
### Question 17
To find the range for both sets of data:
**Set 1:** 22, 34, 43, 25, 56
- Minimum = 22
- Maximum = 56
- Range = Maximum - Minimum = 56 - 22 = **34**
**Set 2:** 12, 51, 23, 37, 8
- Minimum = 8
- Maximum = 51
- Range = Maximum - Minimum = 51 - 8 = **43**
Now compare the ranges:
- Range of Set 1 is 34.
- Range of Set 2 is 43.
- **Set 2 has a wider spread.**
### Question 18
The percentage of customers who prefer to shop on Friday or Saturday would typically be found by adding the values from the bar graph for those two days and then dividing that total by the total number of survey respondents, then multiplying by 100 for percentage. However, without specific numbers, I cannot provide the answer.
### Question 19
To find out how many calls were made before 4 p.m., one would need specific data from Johanna's graph indicating the number of calls made before 4 p.m. Since this information is missing, I cannot provide a numerical answer.
### Question 20
To figure out which week had the larger range in minutes read, the correct method would be:
- **1. Put the numbers in order from least to greatest.**
- **2. Find the range for each week.**
- **3. Compare the ranges.**
Assuming this is the process Kate needs to follow, the response would be:
- **1. Put the numbers in order from least to greatest. 2. Find the range for each week. 3. Compare the ranges.**
### Question 21
Clarice graphed money in her savings account, and the specific months were not provided. Without the values seeing a change of $40, I cannot specify which two months corresponded to that change.
### Question 22
To address the statements about the data set (23, 45, 39, 57, 31, 53, 28, 50, 42, 36), we can calculate:
1. **Order the data:** 23, 28, 31, 36, 39, 42, 45, 50, 53, 57
2. **Lower quartile (Q1):** Median of the first half (23, 28, 31, 36) = (28 + 31) / 2 = 29.5 (so this doesn't match any provided statements).
3. **Median:** Middle value (39 + 42) / 2 = 40.5.
4. **Upper quartile (Q3):** Median of the second half (42, 45, 50, 53, 57) = (50 + 53) / 2 = 51.5 (none of the provided statements correlate).
5. **Interquartile range (IQR):** Q3 - Q1 = 51.5 - 29.5 = 22.
The correct statements from the responses are:
- **The median is 40.5.**
- **The upper quartile is 53.**
Note: The statements regarding the lower quartile and interquartile range provided in the options do not match the calculations performed.
---
If you have specific numbers or other information to clarify answers to certain questions, please provide them!