MBApyq

Scatterplots and Personality Dimensions Analysis

XAT 2017 · Quantitative Ability & Data Interpretation · Medium · Data Interpretation

All XAT 2017 questionsMore Data Interpretation questionsAll XAT QADI

Passage / data set

The grid captures relationships among seven personality dimensions: "extraversion", "true_arousal_plac", "true_arousal_caff", "arousal_plac", "arousal_caff", "performance_plac", and "performance caff". The diagonal represents histograms of the seven dimensions. Left of the diagonal represents scatterplots between the dimensions while the right of the diagonal represents quantitative relationships between the dimensions. The lines in the scatterplots are closest approximation of the points. The value of the relationships to the right of the diagonal can vary from -1 to +1, with -1 being the extreme linear negative relation and +1 extreme linear positive relation.

Question 1 of 4

Which of the following is true?

  1. A.

    "Extraversion" has two modes.

  2. B.

    Median for "arousal_plac" is definitely the same as its average.

  3. C.

    Median for "arousal_caff" is definitely higher than its average.

  4. D.

    Median for "performance_plac" is definitely lower than its average.

  5. E.

    Median for "performance_caff" is definitely lower than its average.

Answer

A

Explanation

Examining the histogram for "extraversion" along the diagonal, it clearly shows two distinct peaks/peaks of highest frequency, meaning it is bimodal (has two modes).

Question 2 of 4

Which of the scatterplots shows the weakest relationship?

  1. A.

    Between "extraversion" and "performance_caff".

  2. B.

    Between "true_arousal_plac" and "arousal_plac".

  3. C.

    Between "true_arousal_plac" and "performance_plac".

  4. D.

    Between "true_arousal_caff" and "performance_caff".

  5. E.

    Between "arousal_caff" and "performance_caff".

Answer

A

Explanation

Weakest relationship corresponds to the correlation coefficient value closest to 0. Looking at the grid, the value for "extraversion" and "performance_caff" is 0.16 (or -0.08), which is the smallest in magnitude.

Question 3 of 4

In which of the following scatterplots, the value of one dimension can be used to predict the value of another, as accurately as possible?

  1. A.

    "extraversion" and "true_ arousal_caff'

  2. B.

    "true_arousal_plac" and "arousal_plac"

  3. C.

    "true_arousal_plac" and "performance_plac"

  4. D.

    "true_arousal_plac" and "performance_caff"

  5. E.

    All the above are irrelevant relations.

Answer

C

Explanation

Accurate prediction requires the highest magnitude of correlation coefficient. The correlation between "true_arousal_plac" and "performance_plac" is 0.94, which is the highest positive correlation among the pairs.

Question 4 of 4

Which of the following options is correct?

  1. A.

    0.93 on the right side of the diagonal corresponds to the third scatterplot in the fourth row.

  2. B.

    0.94 on the right side of the diagonal corresponds to the second scatterplot in the fourth row.

  3. C.

    0.38 is the relationship between "extraversion" and "true_arousal_plac".

  4. D.

    "arousal_catr" and "performance_caff" arc positively related.

  5. E.

    The line that captures relationship between "arousal_caff" and "arousal_plac" can be denoted by equation: y = a - bx, where b > 0.

Answer

B

Explanation

Matching the grid entries, 0.94 corresponds to row 4 column 2 on the right side of the diagonal, which reflects the second scatterplot in the fourth row.

Related Data Interpretation questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace