Which of the following statements is true based on the data set shown below? a) median = mode b) mode = mean c) mean = median

We have:

              Median=Mode

We are given data as:

        Speed(x)         Frequency(y)        Cumulative Frequency

            12                      1                              

            13                      2                           1+2=3  

            14                      6                           3+6=9

           15                      12                         9+12=21

            16                      6                            21+6=27

            17                       5                           27+5=32

            18                       1                             32+1=33

            19                       2                            33+2=35  

            20                      4                            35+4=39

            21                        1                            N= 39+1=40

N=40

As the total number of frequency is even i.e. 40.

Hence, the median lie between the 20 and 21.

Hence,Median=15

We know that the mode is the data corresponding to highest frequency.

Hence here Mode=15 ( Since it's frequency is highest i.e. 12)

Also, Mean is calculated by:

  x           y             xy

  12          1             12

  13          2            26            

  14          6            84                

  15          12           180

   16          6           96                

   17           5           85          

   18           1            18                

   19           2           38              

  20           4           80                

   21           1            21        

------------------------------------------

                          ∑xy=640                                

Hence, Mean is calculated as:

Hence, Mean=16

                Hence, we have:

                         Median=Mode=15

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0