Consider the following box and whisker plot. Find the indicated values of the represented data. 19 40 49 77 94 10 20 30 40 50 68 78 80 90 100 Minimum: First quartile:

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Hi this isn't graded it's a quiz im attempting to help with my understanding of probability and statistics. The lightly shaded boxes are words that scrambled because im sending it through my phone. Please help with these questions. thank you

6.
Consider the following box and whisker plot. Find the indicated values of the represented data.
19
40
49
77
94
10
20
30
40
50
60
70
80
90
100
Minimum:
First quartile:
A
yoga teacher collected data on the ages of the people in her class.
The median is 36 years old.
The mean is 42 years old
The mode is 50 years old
Which statement must be true?
O A. The oldest person in the class is 50 years old.
O B. Each person in the class is either 36, 42, or 50 years old.
O C. Most people in the class are 42 years old.
O D. At least half of the people in the class are 36 years old or younger.
Transcribed Image Text:6. Consider the following box and whisker plot. Find the indicated values of the represented data. 19 40 49 77 94 10 20 30 40 50 60 70 80 90 100 Minimum: First quartile: A yoga teacher collected data on the ages of the people in her class. The median is 36 years old. The mean is 42 years old The mode is 50 years old Which statement must be true? O A. The oldest person in the class is 50 years old. O B. Each person in the class is either 36, 42, or 50 years old. O C. Most people in the class are 42 years old. O D. At least half of the people in the class are 36 years old or younger.
4.
In a histogram, the proportion of the total area which must be to the right of the mean is:
O A. exactly 0.50 if the distribution is symmetric and unimodal
O B. more than 0.50 if the distribution is skewed to the right
O C. exactly 1.0 if the distribution is symmetric and bimodal
O D. exactly 0.50
O E. less than 0.50 if the distribution is skewed to the left
Generally speaking, if two variables are unrelated (as one increases, the other shows no pattern), the covariance will be:
O A. a large positive number
O B. a large negative number
O C. a positive or negative number close to zero
O D. none of the above
5.
The histogram below gives the length of service of members of the Department of Mathematics and Statistics at a particular university. The classes, in years of service, are 0– 4.9, 5– 9.9, etc., and the vertical axis represents the number of faculty.
(a) What percent of the department faculty have less than 15 years of service?
Answer:
%
(b) If a member of the department is chosen at random to serve on a university committee, what is the probability (in decimal form) that the chosen representitive will have between 10 and 15 years of service?
Answer:
(c) What is the probability the representative above will have less than 25 years of service given that the person has less than 30 years of service?
Answer:
Mathenatics and Statistics Faculty
13
12-
11
10-
8
4
2
5
10
15
20
25
30
35
Years of Service
Transcribed Image Text:4. In a histogram, the proportion of the total area which must be to the right of the mean is: O A. exactly 0.50 if the distribution is symmetric and unimodal O B. more than 0.50 if the distribution is skewed to the right O C. exactly 1.0 if the distribution is symmetric and bimodal O D. exactly 0.50 O E. less than 0.50 if the distribution is skewed to the left Generally speaking, if two variables are unrelated (as one increases, the other shows no pattern), the covariance will be: O A. a large positive number O B. a large negative number O C. a positive or negative number close to zero O D. none of the above 5. The histogram below gives the length of service of members of the Department of Mathematics and Statistics at a particular university. The classes, in years of service, are 0– 4.9, 5– 9.9, etc., and the vertical axis represents the number of faculty. (a) What percent of the department faculty have less than 15 years of service? Answer: % (b) If a member of the department is chosen at random to serve on a university committee, what is the probability (in decimal form) that the chosen representitive will have between 10 and 15 years of service? Answer: (c) What is the probability the representative above will have less than 25 years of service given that the person has less than 30 years of service? Answer: Mathenatics and Statistics Faculty 13 12- 11 10- 8 4 2 5 10 15 20 25 30 35 Years of Service
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