मराठी

Two workers on the same job show following results: Worker P Worker Q Mean time for completing the job (hours) 33 21 Standard Deviation (hours) 9 7 Which worker seems to be faster i

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प्रश्न

Two workers on the same job show the following results:

  Worker P Worker Q
Mean time for completing the job (hours) 33 21
Standard Deviation (hours) 9 7

Which worker seems to be faster in completing the job?

बेरीज
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उत्तर

  Worker P Worker Q
Mean time for completing the job (hours) `bar"p"` = 33 `bar"q"` = 21
Standard Deviation (hours) σp = 9 σq = 7

C.V. (P) = `(sigma_"p")/bar"p"xx 100`

= `(9)/(33) xx 100`

= 27.27%

C.V. (Q) = `(sigma_"q")/(bar"q") xx 100`

= `7/21xx100`

= 33.33%

Since, `bar"p"` > `bar"q"`
i.e., expected time for completing the job is less for worker Q.
∴ Worker Q seems to be faster in completing the job.

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Coefficient of Variation
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Measures of Dispersion - Exercise 2.3 [पृष्ठ ३३]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 2 Measures of Dispersion
Exercise 2.3 | Q 6. (ii) | पृष्ठ ३३

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Two workers on the same job show the following results:

  Worker P Worker Q
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Standard Deviation (hours) 9 7
  1. Regarding the time required to complete the job, which worker is more consistent?
  2. Which worker seems to be faster in completing the job?

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No. of goals 0 1 2 3 4
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