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Question

The distribution, which is skewed to the left, has one high point and has many high scores is called

The correct answer is
Negatively skewed distribution

Distribution Skewness Explained

The question describes a distribution that is skewed to the left. This characteristic is a key indicator of the distribution's shape.

Understanding Left Skewness

A distribution skewed to the left is also known as a negatively skewed distribution. Key features include:

  • The tail of the distribution extends towards the lower values (to the left on a number line).
  • The bulk of the data points, or scores, are concentrated at the higher end of the scale.
  • The mean is typically less than the median, which is typically less than the mode.

The description mentions "many high scores," which directly aligns with the concentration of data points towards the higher end characteristic of a left-skewed distribution.

Evaluating Distribution Types

  • Evenly distributed distribution: This is a symmetrical distribution with no skew.
  • Platykurtic distribution: This describes the 'flatness' or peakedness of a distribution's curve (kurtosis), not its skewness.
  • Negatively skewed distribution: This matches the description of being skewed to the left with data concentrated at higher values.
  • Positively skewed distribution: This distribution is skewed to the right, with the tail extending towards higher values and data concentrated at lower values.

Therefore, a distribution that is skewed to the left and has many high scores is a negatively skewed distribution.

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Important Questions from Measures of Dispersion

  1. If for a moderately symmetrical distribution mean deviation is 12, then the value of standard deviation is

  2. Variance is independent of change of :

  3. Mean (M) and Standard Deviation (S) of different datasets are given in A-D below. Compute the coefficient of variation of each dataset and arrange in ascending order.
    A. M = 60, S = 14
    B. M = 70, S = 16
    C. M = 80, S = 5
    D. M = 90, S = 4
    Choose the correct answer from the options given below:
  4. Which of the following are methods of dispersion ?
    A. Median
    B. Mean
    C. Mean deviation
    D. Standard deviation
    E. Range
    Choose the correct answer from the options given below :
  5. Mean (M) and coefficient of variation (CV expressed as a percentage) of different datasets are given in A-D below. Compute the standard deviation of each dataset and arrange in ascending order.
    A. M = 60, CV = 70/3
    B. M = 80, CV = 6.25
    C. M = 70, CV = 160/7
    D. M = 90, CV = 40/9
    Choose the correct answer from the options given below:
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