Question

Question 1.

Answer 1

Answer:

Question: 1)

The range is:

B. Greater for data set 2 [ 16 to 18 year olds]

The mean is:

B. Greater for data set 2 [ 16 to 18 year olds]

Question: 2)

The range is:

C. Greater for the 17 to 19 years old.

The median is:

C. Greater for the 17 to 19 years old.

Step-by-step explanation:

Question 1)

Minute spent online (13 to 15 years)

          21        1  

          24        1

          26        1  

          27         2  

          28         3  

          31           1  

          34          1

The minimum value=21

and maximum value= 34

Hence, Range=Maximum value-Minimum value

Range=34-21

Range=13

and mean  is:

$Mean=\dfrac{21+24+26+27\times 2+28\times 3+31+34}{1+1+1+2+3+1+1}\\\\\\Mean=\dfrac{274}{10}\\\\\\Mean=27.4$

and Minute spent online (16 to 18 years)

                 12       1  

                 21       1  

                 28      4  

                30.5    1  

                 34       1  

                 35       1    

                 36        1

The minimum value=12

and maximum value= 36

Hence, Range=Maximum value-Minimum value

Range=36-12

Range=24

and mean is calculated as follows:

$Mean=\dfrac{12+21+28\times 4+30.5+34+35+36}{1+1+4+1+1+1+1}\\\\\\Mean=\dfrac{280.5}{10}\\\\\\Mean=28.05$

Hence, we see that:

The range is greater for data set 16 to 18 years  ( since 24>13)

and the mean is also greater for data set 16 to 18 years ( since 28.05>27.4 )

Question 2)

    14 to 16 years:

              30             2  

              40              1    

              50              4  

              60               1    

               70              2    

               80              2

              100              3

               150             1

The minimum value=30

and maximum value= 150

Hence, Range=Maximum value-Minimum value

Range=150-30

Range=120

Also,we know that the median always exist in the middle of the data hence, when we arrange the data in the increasing order :

30   30    40   50   50   50   50   60   70   70   80   80   100   100   100    150

The median lie between 60 and 70

Hence, Median=(60+70)/2=65

Median=65

          17 to 19 years:

               50           1

               100          2  

               120          1

               140           1  

               150           1  

                160           1

                170            1

                180            1

              200             2  

               210              1  

               220             1

The minimum value=50

and maximum value= 220

Hence, Range=Maximum value-Minimum value

Range=220-50

Range=170

Also,we know that the median always exist in the middle of the data hence, when we arrange the data in the increasing order :

50   100   100   120   140   150   160   170   180   200   200   210    220

Hence, the number that comes in the middle is: 160

Hence, Median= 160

The range is same for both the second data( since 170>120) and the median is greater for  17 to 19 years.

Answer 2

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

➷ The range is B. Greater for data set 2

The mean is B. Greater for data set 2

2) The range is C. Greater for the 14 to 19 year olds

The median is C. Greater for the 14 to 19 year olds

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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