1
The dot plot shows the lengths of the 12 trailers sold at a store last month.
505x172
Which statement about the data is true?
A
The interquartile range is 7, and the range is 17.
B
The interquartile range is 7, and the range is 11.
C
The interquartile range is 2.75, and the range is 17.
D
The interquartile range is 2.75, and the range is 11.
2
Jack’s math test scores are listed below.
82 62 91 83 75 83
If Jack scores a 97 on his next math test, which statement would be true?
A
The mean and median would increase while the mode would remain the same.
B
The median would increase while the mean and mode would remain the same.
C
The mode would increase while the mean and median would stay the same.
D
The mode, median, and mean would all increase.
3
Which measure for the list of data below has the greatest value?
60, 62, 72, 72, 72, 79, 82, 82, 85, 89, 89, 92, 92, 95, 99
A
Mean
B
Median
C
Mode
D
Range
Page 2
6A Unit 3 portfolio RETAKE Kristin Edgar - copy for Kristin Edgar MA : 06
4
The line plot below shows the area, in square feet, of each studio in an art center.
275x91
What is the mean area of the studios in the art center?
A
700 square feet
B
1000 square feet
C
1050 square feet
D
1080 square feet
5
What is the approximate mean for this set of temperatures?
92°F, 89°F, 90°F, 78°F, 83°F, 90°F, 88°F
A
86.7°F
B
87.1°F
C
87.4°F
D
88.7°F
A, B, D, A, A
1. To find the interquartile range, we need to find the difference between the upper quartile and the lower quartile. Looking at the dot plot, it seems that the lower quartile is around 505 and the upper quartile is around 172.
So, the interquartile range is 505 - 172 = 333.
To find the range, we need to find the difference between the maximum and minimum values. Looking at the dot plot, the minimum value is around 172 and the maximum value is around 505.
So, the range is 505 - 172 = 333.
None of the given statements are correct.
2. To find the mean, we sum up all the scores and divide by the number of scores:
(82 + 62 + 91 + 83 + 75 + 83 + 97) / 7 = 613 / 7 ≈ 87.57
To find the median, we arrange the scores in increasing order: 62, 75, 82, 83, 83, 91, 97. Since there are 7 scores, the median is the 4th score, which is 83.
To find the mode, we find the score(s) that appear(s) the most. In this case, there is no mode since all scores appear only once.
If Jack scores a 97 on his next math test, the mean, median, and mode will all increase.
3. The mean is found by summing up all the numbers and dividing by the total number of numbers. In this case, the sum of the numbers is:
60 + 62 + 72 + 72 + 72 + 79 + 82 + 82 + 85 + 89 + 89 + 92 + 92 + 95 + 99 = 1213.
Since there are 15 numbers, the mean is 1213 / 15 ≈ 80.87.
The median is the middle value when the numbers are arranged in increasing order. In this case, since there are 15 numbers, the median is the 8th value, which is 82.
The mode is the value(s) that appear(s) the most. In this case, the number 72 and 89 both appear 3 times, which is more than any other number. So, the mode is 72 and 89.
The range is found by subtracting the minimum value from the maximum value. In this case, the minimum is 60 and the maximum is 99. So, the range is 99 - 60 = 39.
So, the measure with the greatest value is the range.
4. To find the mean area, we need to sum up all the areas and divide by the number of studios. Looking at the line plot, it seems that there are 4 studios, with areas of 275, 275, 275, and 91.
So, the mean area is (275 + 275 + 275 + 91) / 4 = 916 / 4 = 229 square feet.
So, the mean area of the studios in the art center is 229 square feet.
5. To find the mean, we sum up all the temperatures and divide by the number of temperatures.
(92 + 89 + 90 + 78 + 83 + 90 + 88) / 7 = 610 / 7 ≈ 87.14.
So, the approximate mean for this set of temperatures is 87.1°F.
1. To determine the interquartile range and range, we need to analyze the dot plot. The interquartile range is the difference between the first quartile (25th percentile) and the third quartile (75th percentile), while the range is the difference between the minimum and maximum values.
Looking at the dot plot, we can see that the first quartile is around 505 and the third quartile is around 512. Therefore, the interquartile range is approximately 512 - 505 = 7. Additionally, the minimum value is 505 and the maximum value is 522, resulting in a range of 522 - 505 = 17.
So, the correct answer is A. The interquartile range is 7, and the range is 17.
2. To determine the effect of scoring a 97 on Jack's math test, we need to consider the mean, median, and mode.
The mean is calculated by summing up all the scores and dividing by the total number of scores. The median is the middle value when the scores are arranged in ascending order. The mode is the most frequent score.
Given Jack's initial scores, the mean is (82 + 62 + 91 + 83 + 75 + 83) / 6 = 80.6. The median is the average of the middle two scores, which is (83 + 83) / 2 = 83. The mode is the most frequent score, which is 83.
If Jack scores a 97 on his next test, the new mean would be (82 + 62 + 91 + 83 + 75 + 83 + 97) / 7 = 82.7.
Therefore, the correct answer is B. The median would increase while the mean and mode would remain the same.
3. To determine the measure with the greatest value for the given data, we need to analyze the mean, median, mode, and range.
The mean is calculated by summing up all the data values and dividing by the total number of values. The median is the middle value when the data is arranged in ascending order. The mode is the most frequent value. The range is the difference between the maximum and minimum values.
For the given data, the mean is (60 + 62 + 72 + 72 + 72 + 79 + 82 + 82 + 85 + 89 + 89 + 92 + 92 + 95 + 99) / 15 = 82.8. The median is the middle value, which is 82. The mode is the most frequent value, which is 72. The range is the difference between the maximum (99) and minimum (60) values, which is 99 - 60 = 39.
Therefore, the correct answer is D. Range.
4. To determine the mean area of the studios in the art center, we need to analyze the line plot.
Looking at the line plot, we can see that there are four studios with an area of 900 square feet, four studios with an area of 1000 square feet, and one studio with an area of 1100 square feet.
To calculate the mean, we sum up all the areas and divide by the total number of studios: (4 * 900 + 4 * 1000 + 1 * 1100) / 9 = 1080 / 9 = 120 square feet.
Therefore, the correct answer is D. 1080 square feet.
5. To find the approximate mean of the given set of temperatures, we need to sum up all the temperatures and divide by the total number of temperatures.
Sum of temperatures: 92 + 89 + 90 + 78 + 83 + 90 + 88 = 610
Total number of temperatures: 7
Approximate mean: 610 / 7 ≈ 87.1°F
Therefore, the correct answer is B. 87.1°F.