MedEntry

Trusted UCAT prep.

By accepting you will be accessing a service provided by a third-party external to https://www.medentry.edu.au/

UMAT test tactics and preparation part 6: statistics problems on the UMAT

How to approach statistics problems on the UMAT exam:

Frequently a feature of UMAT multi choice, understanding the language of statistics and how to answer those questions involving statistics on the UMAT exam is essential for UMAT success. Below, we have explained, as succinctly as possible, what you need to know in order to answer this style of UMAT question.


Statistics is the study of the patterns and relationships of numbers and data. There are four main concepts that may appear on the UMAT exam.


Median

 

When a set of numbers is arranged in order of size, the median is the middle number.

For example, the median of the set {8, 9, 10, 11, 12} is 10 because it is the middle number.
In this case, the median is also the mean (average). But this is usually not the case.

For example, the median of the set {8, 9, 10, 11, 17} is 10 because it is the middle number, but the mean is
11 =(8+9+10+11+17)/5.

If a set contains an even number of elements, then the median is the average of the two middle elements.
For example, the median of the set {1, 5, 8, 20} is 6.5 = [(5+8)/2].

Sample UMAT style question: What is the median of 0, -2, 256, 18, ?2?

Arranging the numbers from smallest to largest (numbers could be arranged from the largest to smallest; the answer would still be the same), we get -2, 0, ?2, 18, 256.
The median is the middle number, ?2.


Mode

 

The mode is the number or numbers that appear most frequently in a set. Note that this definition allows a set of numbers to have more than one mode.

Sample UMAT style questionWhat is the mode of 3, -4, 3, 7, 9, 7.5?

The number 3 is the mode because it is the only number that is listed more than once.

Sample UMAT style questionWhat is the mode of 2, pi, 2, -9, pi, 5?

Both 2 and pi are modes because each occurs twice, which is the greatest number of occurrences for any number in the list.


Range

 

The range is the distance between the smallest and largest numbers in a set. To calculate the range, merely subtract the smallest number from the largest number.

Sample UMAT style questionWhat is the range of 2, 8, 1, -6, pi, 1/2?

The largest number in this set is 8, and the smallest number is -6. Hence, the range is 8 – (-6) = 8 + 6=14.


Standard Deviation

 

On the UMAT exam, you are not expected to know the definition of standard deviation. However, you may be presented with the definition of standard deviation and then be asked a question based on this definition. To make sure we cover all possible bases, we’ll briefly discuss this concept.

Standard deviation measures how far the numbers in a set vary from the set’s mean. If the numbers are scattered far from the set’s mean, then the standard deviation is large. If the numbers are bunched up near the set’s mean, then the standard deviation is small.

Sample UMAT style questionWhich of the following sets has the larger standard deviation?

A= {1, 2, 3, 4, 5}

B = {1, 4, 15, 21, 27}

All the numbers in Set A are within 2 units of the mean, 3. All the numbers in Set B are greater than 5 units from the mean, 15. Hence, the standard deviation of Set B is greater.


For a more extensive data-base of UMAT questions and more detailed UMAT advice see MedEntry UMAT preparation. Or, for similar articles as the one above, please see our new MedEntry blog section UMAT test tactics and preparation.

UMAT or GAMSAT? which route is harder? which route...
UMAT test tactics and preparation part 5: Counting...
Pearson VUE GAMSAT mmi sample answer UCAT Abstract Reasoning UCAT 2019 UCAT App UCAT Course Sample Interview Questions Ethical Dilemma Questions Forums Charity Counting Problems mmi ethical dilemma Venn Diagrams Bonded Medical Program Video Blog mmi scoring MedEntry UCAT Venue USyd LMS Forums Interview Discrimination Multiple Choice Speed Reading in UCAT Resilience Psychometric tests UCAT Study ACER Rural Students UCAT advice UCAT Test Medical Interview AR Trainer COVID-19 Study Tips UCAT Practice Year 12 UCAT Video Guides UCATSEN University Entrance Probability Charity Partner 2020 UCAT Registrations UCAT Training Medicine at Melbourne UCAT 2020 UCAT Trainer Medicine UCAT exam UCAT 2020 Tips Active learning MedEntry Community Page UCAT Timing UNSW LMS Update UCAT Exam Studying Medicine Sample MMI UCAT Stress Interview Questions UCAT Situational Judgement Test University Rankings HPAT News UCAT Skill Trainers HPAT Preparation Medicine at Monash UCAT Preparation UCAT Test Tips Percentage questions UCAT UCAT Test Date UCAT Scores UCAT Tips UCAT Experience Applications Process of Elimination University fees UCAT Date UCAT Test Venue Multistation Mini Interviews UCAT Preparation Courses Careers Teachers Medical Interview Training English MMI MedEntry Skills Trainer MedEntry LMS Update UCAT Results UCAT Key Dates Which Uni? UCAT tips UCAT Forums UCAT 2020 Registrations UCAT Anxiety UCAT Prep UCAT Practice Test Situational Judgement Test UCAT Noteboard UCAT workshop Medical Entrance mmi sample question UCAT Coaching UCAT Booking UCAT Registration LMS Updates Future UCAT Students UCAT Memes Coronavirus Time Management

trhdtre tre