Answer:
1) The range is found by subtracting the minimum data entry from the maximum data entry.
2) It is easy to compute.
3) It uses only two entries from the data set.
Step-by-step explanation:
We are given the following information in the question:
1) Range is difference between the highest value and the lowest value of the data.
- To find the range we first arrange the data in the increasing order and then select the highest and the lowest value of the data, Then the lowest value is subtracted from the highest value to find the range.
Option A) The range is found by subtracting the minimum data entry from the maximum data entry.
2) Advantage of range as a measure of variation.
- Since the method to calculate range of a data set is very easy, it is one of the advantages to use range as a method of variation.
Option B) It is easy to compute.
3) Disadvantage of range to use as a method of variation.
- The disadvantage of using range is that it does not measure the spread of the data set
- It only measures the spread between highest and lowest data points in data set.
Option C) It uses only two entries from the data set.
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Answer:
a. The function is increasing when
and decreasing when
.
b. The function is greater than zero when
and ![x>5](https://tex.z-dn.net/?f=x%3E5)
c. The function is less than zero when ![3](https://tex.z-dn.net/?f=3%3Cx%3C5)
Step-by-step explanation:
a. The function
is increasing when it's instantaneous slope ( the slope of the line tangent to the graph ) is positive, and it is decreasing when the instantaneous slope is negative. We see from the graph of
that for
the instantaneous slope is positive, and for
the slope is negative.
b. From the graph we see that the function is greater the zero (has positive values ) when
and
.
c. The graph of the function is less than zero ( is negative) when ![3](https://tex.z-dn.net/?f=3%3Cx%3C5.)