Mathematics, 16.07.2019 02:00, mckeeshallea400

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

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answered: adricabrera

We have:

Median=Mode

Step-by-step explanation:

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.

$\dfrac{N+1}{2}=20.5$

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:

$Mean=\dfrac{\sum xy}{N}\\\\\\Mean=\dfrac{640}{40}\\\\Mean=16$

Hence, Mean=16

Hence, we have:

Median=Mode=15

answered: Guest

108

answered: Guest

idk

step-by-step explanation:

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