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ruslelena [56]
3 years ago
9

True or False?The first distribution shown below has a smaller standard deviation than does the second distribution.1, 2, 3, 4,

5, 6, 7, 8, 9, 10, 11, 12101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112
Mathematics
2 answers:
Mandarinka [93]3 years ago
6 0

Answer:

False, they have the same standard deviation

Step-by-step explanation:

Standard deviation is the distance each data value is from the mean.

While the mean of each data set will be different, the distance each data value is from this mean will be the same.  This is because each set goes sequentially from 1 to 12, or from 101 to 112.  The average distance from the mean will have to be the same.

To verify, using a graphing calculator, the standard deviation of the first set is 3.45.  The standard deviation of the second set is also 3.45.

Sidana [21]3 years ago
5 0

Answer:

the correct answer is false

Step-by-step explanation:

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Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of t
Contact [7]

Answer:

The number of six non conforming transducers at most =54/60=0.9

The number of fewer than six non conforming transducers =51/60=0.85

The number of at least six non conforming transducers at most =30/60=0.5

d) The center of the histogram is around 2 or 3 and it shows that there is some positive skewness in the data

Step-by-step explanation:

Relative Frequency Frequency       x

6/60=0.1                            6                   0

0.2                                    12                    1

0.2                                   12                     2

0.25                            15                      3

0.1                                    6                       4

0.05                               3                 5

0.05                               3                 6

0.0167                              1                          7

<u>0.033                               2                  8</u>

<u>∑                                    60                   </u>

The number of six non conforming transducers at most

= 6+12+12+15+6+3= 54

The number of six non conforming transducers at most =54/60=0.9

The number of fewer than five non conforming transducers

= 6+12+12+15+6 = 51

The number of fewer than six non conforming transducers =51/60=0.85

 

The number of at least six non conforming transducers

2+1+3+3+6+15= 30

The number of at least six non conforming transducers at most =30/60=0.5

We plot the histogram by placing the percentages (or relative frequency *100) on the y –axis and the X on the x-axis.

The center of the histogram is given by the mean of the distribution which in this case is = ∑fx/∑f= 161/60= 2.683

So option d is the best answer

d) The center of the histogram is around 2 or 3 and it shows that there is some positive skewness in the data

Because at the center (between 2 and 3) the curve is increasing

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