Question

Rank each of the following value in order of smallest to largest:
I. the upper quartile.
II. the median.
III. the 20th percentile.
IV. decile 6.
V. the 0.38 fractile.

VI. the 70th percentile.
VII. the lower quartile

Answer 1

Given :- Rank each of the following value in order of smallest to largest :

I. the upper quartile.

II. the median.

III. the 20th percentile.

IV. decile 6.

V. the 0.38 fractile.

VI. the 70th percentile.

VII. the lower quartile

Answer :-

we know that,

• Lower quartile = 25th percentile .
• Median = 50th percentile .
• Upper quartile = 75th percentile .
• 1 Decile = 10th percentile .

so, we get,

I. The upper quartile = 75th percentile .

II. The median = 50th percentile .

III. The 20th percentile = 20th percentile .

IV. Decile 6 = 10 * 6 = 60th percentile

V. The 0.38 fractile = 0.38 * 100 = 38th percentile

VI. The 70th percentile = 70th percentile

VII. The lower quartile = 25th percentile .

therefore, Rank each of the following value in order of smallest to largest we get :-

→ 20th percentile < 25th percentile < 38th percentile < 50th percentile < 60th percentile < 70th percentile < 75th percentile .

Hence, Required Rank will be :-

• III. The 20th percentile .
• VII. The lower quartile .
• V. The 0.38 fractile .
• II. The median .
• IV. Decile 6 .
• VI. The 70th percentile .
• I. The upper quartile .

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