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sweet-ann [11.9K]
3 years ago
15

What are the mean and mode of the following data set? 59 16 57 46 58 21 36 41 23 64 20 66 40 51 28 46 a. mean: 43.5, mode: 46 b.

mean: 42, mode: 46 c. mean: 43.5, mode: 42 d. mean: 46, mode: 42
Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

Answer:

\boxed{ \bold{ { \boxed{ \sf{mean \:  =  \: 42 \: , \: mode = 46}}}}}

Option B is the correct option.

Step-by-step explanation:

Given data:

59 , 16 , 57 , 46 , 58 , 21 , 36 , 41 , 23 , 64 , 20 , 66 , 40 , 51 , 28 , 46

Σx ( sum of the items ) = 672

N ( total number of items ) = 16

<u>Finding</u><u> </u><u>the</u><u> </u><u>mean</u>

\boxed{ \sf{mean =  \frac{sum \: of \: the \: items}{total \: number \: of \: items}}}

\longrightarrow{ \sf{ \frac{672}{16} }}

\longrightarrow{ \sf{42}}

Mean = 42

<u>Finding</u><u> </u><u>the</u><u> </u><u>mode</u>

In the given data , 46 has the highest frequency.

So, mode = 46

Hope I helped!

Best regards! :D

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