What does it mean if a statistic is resistant? choose the correct answer below.

1 answer:

4 0

When we say a statistic is resistant, we mean the extreme values do not affect the statistic to a large extent or to an extent which makes a major difference. Mean and median are example of such statistics. By changing the extreme values we do not see a substantial difference in the value of mean and median for the data set.

Consider a sample: 1,2,3,4,4,5,6,7,8
The median for this data set is 4.
If we change the extreme values to get this sample: -5,2,3,4,4,5,6,7,100
The median will still be the same i.e. 4. This is what is meant by a resistant statistic.

So option a is the correct ans.

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Answer:

You have found 24 nickels.

Step-by-step explanation:

Let N be the number of nickles, D be the number of dimes and Q be the number of quarters. The number of coins and their face values are given by the following expressions, respectively:

$N+D+Q=72\\0.05N+0.10D+0.25Q=10.20$

As of now we have three variables and two expressions, the final expression needed to solve the linear system is given by the amount offered by the coin dealer:

$10N+20D+15Q=1,060$

Solving the linear system:

$N+D+Q=72\\5N+10D+25Q=1,020\\10N+20D+15Q=1,060\\\\10N-10N+20D-20D+15Q-50Q=1,060-(2*1,020)\\-35Q=-980\\Q=28\\\\5N-10N+10D-10D+25Q-10Q=1,020-720\\-5N+15Q=300\\-5N=300-(15*28)\\N=24$