Question

The mean of 1, 3, 4, 5, 7, 4 is m. The numbers 3, 2, 2, 4, 3,3, p have mean m-1 and median q. Then p +q=

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Answer 1

Step-by-step explanation:

here, mean in first numbers = 1+3+4+5+7+4

6

=24/6=4

therefore, in second numbers

mean =m-1= 4-1 = 3

mean= 3+2+2+4+3+3+p

7

3= 17+p

7

21 = 17 + p

p=21-17 =4

mode= 3 ( highest repeating no. in second numbers)

and since,

mode=3 median -2mean .....( or simply arrange the numbers in ascending order and find median)

3= 3q- 2(3)

3+6 = 3q

therefore q= 9/3 =3

so, p+q= 4+3=7