If the mean of the numbers 15, 20, a, 32, bis 25, find b in terms of a

1.	If the mean of the numbers 15, 20, a, 32, bis 25, find b in terms of a
Answer» ONG>Answer: Step-by-step explanation: ARITHMETIC MEAN OR MEAN OR AVERAGE : The arithmetic mean of a set of observations is OBTAINED by DIVIDING the SUM of the values of all observations by the total NUMBER of observations . Mean = Sum of all the observations / Total number of observations . MEAN = Σfixi / Σfi [‘Σ’ Sigma means ‘summation’ ] FREQUENCY DISTRIBUTION TABLE IS IN THE ATTACHMENT From the table : Σfixi = 445 + 10p , Σfi = 27 + p MEAN = Σfixi / Σfi Given : Mean = 15 15 = (445 + 10p) / (27 + p) 15 × (27 + p) = 445 + 10p 405 + 15p = 445 + 10p 15p - 10p = 445 - 405 5p = 40 p = 40/5 = 8 p = 8 Hence, the value of ‘p’ is 8. HOPE THIS ANSWER WILL HELP YOU….

Answer» ONG>Answer:

Step-by-step explanation:

ARITHMETIC MEAN OR MEAN OR AVERAGE :

The arithmetic mean of a set of observations is OBTAINED by DIVIDING the SUM of the values of all observations by the total NUMBER of observations .

Mean = Sum of all the observations / Total number of observations .

MEAN = Σfixi / Σfi

[‘Σ’ Sigma means ‘summation’ ]

FREQUENCY DISTRIBUTION TABLE IS IN THE ATTACHMENT

From the table : Σfixi = 445 + 10p , Σfi = 27 + p

MEAN = Σfixi / Σfi

Given : Mean = 15

15 = (445 + 10p) / (27 + p)

15 × (27 + p) = 445 + 10p

405 + 15p = 445 + 10p

15p - 10p = 445 - 405

5p = 40

p = 40/5 = 8

p = 8

Hence, the value of ‘p’ is 8.

HOPE THIS ANSWER WILL HELP YOU….

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