Question

the mean and median of the data a,b,c are 50 and 35, c-a = 55 then find b-a

Answer 1

The value of b-a is 5

Step-by-step explanation:

Data : a , b, c

Mean = 50

$Mean = \frac{\text{Sum of all observations}}{3}$

$50= \frac{a+b+c}{3}$

$50 \times 3= a+b+c$

$150= a+b+c$

We are given that the median is 35

So, Mid value = b = 35

$150= a+35+c$

$150 - 35= a+c$

$115= a+c$ --A

We are given that  c-a = 55 ---B

Add A and B

$115+55= a+c+c-a$

$170= 2c$

$\frac{170}{2}= c$

$85= c$

Substitute the value in B

c-a = 55

85-a=55

85-55=a

30=a

Now b-a = 35-30=5

Hence The value of b-a is 5

#Learn more :

The median of the following distribution is 35, find the values of a and b.

C.I : 0–10 10–20 20–30 30–40 40–50 50–60 60–70 ,

f : 10 20 a 40 b 25 15 total 170

https://brainly.in/question/2885804

Answer 2

Answer:

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