2. Sue earns the same amount of
1 answer:
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Answer: a. Mean = 0.696364
b. Median = 0.64
c. Midrange = 0.895
d. There is no Mode
e. 2. The maximun data value is the most relevant statistic, because it is closest to the limit of 1.6W/kg and that cell should be avoided.
Step-by-step explanation:
a) Mean is an average number of the data set, calculated by the sum of all the value divided by the quantity of the set:
mean =
mean = 0.696364
b) Median is the middle number in the list of numbers. In this case, since there are 11 elements in the set, the middle number is:
sorted numbers of the data set:
0.22 0.24 0.29 0.35 0.54 0.64 0.75 0.81 1.02 1.23 1.57
median = 0.64
c) Midrange is another type of average number. It is calculated as:
midrange =
midrange =
midrange = 0.895
d) Mode is the number that appears most often in the list of numbers. For this data set, each number appears only one time, so there is no mode.
Mode = 0
e) According to the question, cell phone radiation is dangerous when it is higher than 1.6W/kg. The cell phone with the maximum data value (1.57 W/kg) should be avoided, since it is too close to the limit described.
So, the measures of center are not the most important statistic to be observed but the maximum data value.
Answer:
The correct option is A.
Step-by-step explanation:
It is given that the QRST is a parallelogram and the diagonals QS and RT are congruent.
According to the property of parallelogram if the length of diagonals are same, then the parallelogram is rectangle. We can also prove it.
Let QRST be an parallelogram and QS=RT.
In triangles QRT and RQS.
(Diagonals)
(Common side)
(Opposite sides of the parallelogram are same)
So by SSS rule of congruence, triangle QRT and triangle RQS are congruent.
By CPCT,
Since the sum of two consecutive angles of a parallelogram is 180 degree.
Therefore the measure of angle R and angle Q are 90 degree.
Similarly in triangle QST and RTS,
(Diagonals)
(Common side)
(Opposite sides of the parallelogram are same)
So by SSS rule of congruence, triangle QST and RTS are congruent.
By CPCT,
Since the sum of two consecutive angles of a parallelogram is 180 degree.
Therefore the measure of angle S and angle T are 90 degree.
Since the measure of all interior angles of QRST are 90 degree, therefore the parallelogram QRST is a rectangle.
