If a frequency distribution has some extreme scores, then appropriate measure of variability will be .........
Quartile Deviation
A measure of variability shows how spread out the scores in a distribution are. When a distribution contains a few extreme scores (outliers), the chosen measure should not be distorted by them.
The quartile deviation, \(Q = \dfrac{Q_3 - Q_1}{2}\), uses only the middle 50 per cent of the scores, lying between the first and third quartiles. Extreme scores at either end fall outside this range and do not affect it, so the quartile deviation is the appropriate measure when extreme scores are present.
The range depends entirely on the two extreme scores; the average deviation and the standard deviation use every score, and the standard deviation squares the deviations, so extreme values pull all three strongly.
Quartile Deviation option is correct.
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Important Questions from Data Analysis - Teaching
Given below are two statements:
Statement I: In two tail test, 2.5% of the area of the normal curve falls on the right of 1.96 standard deviations above the mean and 2.5% to the left of 1.96 standard deviations below the mean.
Statement II: In one tail test, for testing the difference between large sample means, a z score of 1.64 is taken as Yardstick at the 5% level of significance.
In light of the above statements, choose the most appropriate answer from the options given below:
In a traditional extract–transform–load (ETL) workflow, data scrubbing performed during the transformation stage is:
Temperature (°C) Number of stations 0–10 1 10–20 2 20–30 3 30–40 4 40–50 5 50–60 4 60–70 3 70–80 2 80–90 1 Using the standard grouped-data interpolation formula with position 3N/4, estimate the third quartile Q₃ of the temperature distribution.
Temperature (°C) Number of stations 0–10 1 10–20 2 20–30 3 30–40 4 40–50 5 50–60 4 60–70 3 70–80 2 80–90 1 Using class midpoints, what is the estimated arithmetic mean temperature?
Temperature (°C) Number of stations 0–10 1 10–20 2 20–30 3 30–40 4 40–50 5 50–60 4 60–70 3 70–80 2 80–90 1 Using the standard grouped-data interpolation formula, what is the estimated median temperature?
