11. The value of appropriate measure of dispersion for the following distribution of dali wages Below 30 30-39 40-49 50-59 Wages (*): 60-79 No. of workers 5 7 18 32 28 Above 80 10 is given by (a) * 11.03 (b) 10.50 (c) 11.68 (d) 11.68.
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Step-by-step explanation:
4x
2
−(5k+1)x+5x=0 be α and α+1
∴α+α+1=
4
5k+1
⇒α=
8
5k−3
and α(α+1)=
4
5k
⇒
8×8
(5k−3)(5k−3+8)
=
4
5k
⇒(5k−3)(5k+5)=80k
⇒(5k−3)(k+1)=16k
⇒5k
2
−14k−3=0
⇒(k−3)(5k+1)=0
⇒k=3,
5
−1
Hence, negative value of k is
5
−1
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