A local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons from the survey borrow novels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library? (HINT: It might be helpful to set up a proportion to solve.)
Round your answer to the nearest whole number.
patrons
If 3 out of 80 surveyed patrons borrow novels, we can set up a proportion to estimate the number of patrons out of the total 345 patrons who borrow novels.
3/80 = x/345
To solve for x, we can cross-multiply:
80x = 3 * 345
80x = 1035
Dividing both sides by 80:
x = 1035/80
x ≈ 12.94
Rounding to the nearest whole number, approximately 13 patrons out of the 345 visitors borrow novels when they visit the library.
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
The range for Lacrosse Team 1 is
The range for Lacrosse Team 2 is
Based on the range, Lacrosse Team
has a more consistent number of goals scored.
The range for Lacrosse Team 1 can be found by subtracting the minimum score (0) from the maximum score (17):
Range = 17 - 0 = 17
The range for Lacrosse Team 2 can be found by subtracting the minimum score (14) from the maximum score (23):
Range = 23 - 14 = 9
Therefore, Lacrosse Team 2 has a more consistent number of goals scored, as its range is smaller than that of Lacrosse Team 1.
Given the data set: 5, 10, 12, 14, 18, 60
Which of the following statements is true regarding this data?
A
The value 60 is the outlier
B
The value 5 is the outlier.
C
Multiple outliers exist.
D
No outliers exist
To identify a potential outlier in a data set, we typically look for values that are significantly different from the rest of the values. In this case, the data set is: 5, 10, 12, 14, 18, 60.
To determine if there is an outlier, we can calculate the interquartile range (IQR). The IQR is the range between the first quartile (Q1) and the third quartile (Q3).
Q1 = 10 (the median of the lower half of the data set: 5, 10, 12)
Q3 = 18 (the median of the upper half of the data set: 14, 18, 60)
IQR = Q3 - Q1 = 18 - 10 = 8
Now, we can calculate the upper and lower fences:
Upper Fence = Q3 + 1.5 * IQR = 18 + 1.5 * 8 = 30
Lower Fence = Q1 - 1.5 * IQR = 10 - 1.5 * 8 = -2
Any value below the lower fence or above the upper fence may be considered an outlier.
In this case, the value 60 is above the upper fence of 30, suggesting that it may be an outlier. Therefore, the statement A, "The value 60 is the outlier," is true.