Question

Help pls ????????!!!!!!

Answer 1

Answer:

let the number of steps taken by friend 1, 2 and 3 be: x, y and z respectively

we know that the mean of the total steps taken by all the friends is 10,350

Since the formula for mean is: sum of all values / number of values

here, the total values is the total number of steps taken

So,

steps taken by friend 1  +steps taken by friend 2 +steps taken by friend 3 +steps taken by friend 4 +steps taken by friend 5 +steps taken by friend 6

all that divided by 6 will give us the mean

so,  7800 + 8000 + 9800 + x + y + z / 6

(25600 + x + y + z)/6 = 10350

25600 + x + y + z = 10350 * 6

x + y + z = 62100 - 25600

x + y + z = 36500

So since the sum of x, y and z is 36500,

we can say that the average value of x , y and z is 12167 (36500/3)

So the next thing to make an equation out of is Median

to find the median, we need to arrange the values in any order you like, i will arrange in descending order

so since the estimated value of all x , y and z is greater than the greatest known value:

x > y > z > 9800 > 8000 > 7800

Since this set of values has an even number of values, we will take the average of the middle 2 values as the median

(9800 + z)/2 = 10000

9800 + z = 20000

z = 10200 -------- we have found one of the three values! getting closer

Now, the final equation will be found from the range

since we already have sorted our data, and the difference of the highest and lowest is the range

x > y > z > 9800 > 8000 > 7800

So, x - 7800  = 7500

x = 15300 ------- now that we have x and z, we can use the first equation to find the value of y and we will be done!

x + y + z = 36500

replacing the values

15300 + y + 10200 = 62100

y = 36500 - 25500

y = 11000

So the three remaining friends walked

15300, 11000 and 10200 steps