Estimate the standard deviation using the range rule of thumb of a data set with a minimum value of 176 and a maximum value of 2
37?
2 answers:
<h2>Answer:</h2>
The standard deviation using the range rule of thumb of a data set with a minimum value of 176 and a maximum value of 237 is:
15.3
<h2>Step-by-step explanation:</h2>We know that the range rule of thumb is used to find the estimate of the standard deviation with the help of the range of a data set.
It states that the standard deviation of a data set is equal to 1/4 times the range of a data set.
We have the minimum value of set= 176
and maximum value of set=237
Hence, the Range of data set= maximum value-minimum value
= 237-176
= 61
Hence, we have the standard deviation as:
Hence, the answer is:
15.3
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Answer:
The rocket hits the ground at a time of 11.59 seconds.
Step-by-step explanation:
The height of the rocket, after x seconds, is given by the following equation:
It hits the ground when , so we have to find x for which
, which is a quadratic equation.
Finding the roots of a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this question:
So
Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.