DSQ: Calculating median

Practice Questions

GMAT Quantitative Reasoning › DSQ: Calculating median

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1

On Monday, 40 people are asked to rate the quality of product A on a seven point scale (1=very poor, 2=poor.....6=very good, 7=excellent).

On Tuesday, a different group of 40 is asked to rate the quality of product B using the same seven point scale.

The results for product A:

7 votes for category 1 (very poor);

8 votes for category 2;

10 votes for 3;

6 vote for 4;

4 votes for 5;

3 votes for 6;

2 votes for 7;

The results for product B:

2 votes for category 1 (very poor);

3 votes for category 2;

4 votes for 3;

6 vote for 4;

10 votes for 5;

8 votes for 6;

7 votes for 7;

It appears that B is the superior product.

Which one of the following statements is true?

2

What is the median of the following numbers?

Statement 1:

Statement 2: and

3

What is the mean of this set?

4

The median of the numbers , , , and is . What is equal to?

5

Given five distinct positive integers - - which of them is the median?

Statement 1:

Statement 2:

6

Given five distinct positive integers - - which of them is the median?

Statement 1:

Statement 1:

7

What is the median number of students assigned per workshop at School R?

(1) 30% of the workshops at School R have 6 or more students assigned to each workshop.

(2) 40% of the workshops at School R have 4 or fewer students assigned to each workshop.

8

Given five distinct positive integers - - which of them is the median?

Statement 1:

Statement 2:

9

A data set comprises thirteen elements, the median of which is 75. Two new elements are added to the data set. Does the median change?

Statement 1: One of the elements added to the data set is 30.

Statement 2: One of the elements added to the data set is 40.

10

What is the median of a data set comprising nineteen elements?

Statement 1: When arranged in ascending order, the ninth element is 72.

Statement 2: When arranged in descending order, the ninth element is 72.

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