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i) This university granted less than 10% of the bachelor's -9% and master's degrees- 2% in chemistry throughout the state- True

ii) All the students at this university who achieve bachelor's degrees in engineering go on to pursue master's degrees in engineering- False. We don't have absolute numbers of students in Bachelors and Masters in Engineering. We just have a state share for this one university and just bacuse master's share is more than bachelor's share, we cannot say that all bachelor's students go to master's since it is possible that not all bachelor's go for master's but the ones who do go for Master's in this university is higher than that number in that state
If 21/100=21% get bachelors degree and 14/50=28% get master's degree then we can see 14<21

iii) This university granted a bigger share of the state's bachelor's degrees than master's degrees in all but one department- false
There are two such departments where share of bachelor's < share of master's- History and Engineering department
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Part 1: This university granted less than 10% of the bachelor's and master's degrees in chemistry throughout the state.

% of bachelor's degree granted in chemistry = 9%
% of master's degree granted in chemistry = 2%

% of bachelor's and master's degree granted in chemistry = average of 9% + 2% = (9+2)/2 = 5.5%

Hence, the answer is Yes.

Part 2: All the students at this university who achieve bachelor's degrees in engineering go on to pursue master's degrees in engineering.


It is a possibility that students who achieved a master's degree in engineering have come from a different university. Just because % state share of master's in engineering is higher than bachelor's in engineering, it is not necessary that all students who achieved a bachelor's degree opted for a master's degree.

Hence, answer is No.

Part 3: This university granted a bigger share of the state's bachelor's degrees than master's degrees in all but one department.

There are two departments in this university which have granted a bigger share of the state's bachelor's degrees than master's degrees.

These are Engineering and History.

Hence, the answer is No.
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A. This university granted less than 10% of the bachelor's and master's degrees in chemistry throughout the state.


bachelor's degree in chemistry (State share) = 9%

master's degree in chemistry (State share) = 2%

The statement is TRUE



B. All the students at this university who achieve bachelor's degrees in engineering go on to pursue master's degrees in engineering.

Though percentage for master's degrees in engineering is higher than percentage for bachelor's degrees in engineering, the base for both the parameters could be different.

Therefore,it can't be ascertained that All the students at this university who achieve bachelor's degrees in engineering go on to pursue master's degrees in engineering.

The statement is FALSE



C. This university granted a bigger share of the state's bachelor's degrees than master's degrees in all but one department.

This university granted a bigger share of the state's bachelor's degrees than master's degrees in all but TWO departments ,

ie, ENGINEERING & HISTORY

The statement is FALSE
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Data Insights (DI) Quiz-II 2023 [Question #15, Date: Oct-10-2023] [Click here for Details]

The table displays data on degrees granted by a California university in 2015.

Major Bachelor's, State Share (%) Bachelor's, State Rank Master's, State Share (%) Master's, State Rank
Biology 10454
Chemistry 9425
Economics 461311
Engineering 212281
English 341281
Government 282173
History 163202
Mathematics 232153
Physics 7415
(Sort ↕ the table by clicking on the headers)

For each of the following statements, select Yes if the statement can be shown to be true based on information in the table. Otherwise, select No.

Answer : Yes Yes No
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Official Explanation

This university granted less than 10% of the bachelor's and master's degrees in chemistry throughout the state.

Since the university granted less than 10% of the bachelor's degrees and less than 10% of the master's degrees, it must have granted less than 10% of the total degrees.

Answer: Yes


All the students at this university who achieve bachelor's degrees in engineering go on to pursue master's degrees in engineering.

We don't know the actual number of students who pursue bachelor's or master's degrees at this university, but even if we did, we wouldn't know how many of the students with bachelor's degrees chose to switch fields or switch schools for their master's degrees.

Answer: No


This university granted a bigger share of the state's bachelor's degrees than master's degrees in all but one department.

There were two departments—engineering and history—where the university's state share was greater for master's degrees than for bachelor's degrees.

Answer: No
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