Six students measure the acceleration (in meters per second ) of an object in free fall. the measured values are: 10.56, 9.52, 9.73, 9.80, 9.78, 10.91. the students want to state that the absolute deviation of each measured value x from the mean is at most d. find the value of d.

The value of is 0.86

Explanation

The measured values are......

10.56,  9.52,  9.73,  9.80,  9.78,  10.91

As there are total 6 values, so the Mean(μ) will be:

The absolute deviation of each measured value from the mean(μ) is:  

Thus.....

So, the greatest absolute deviation from the mean is 0.86 here. That means,

ryan had a head start of 10 meters.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for