Question

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

Answer 1

b

Explanation:

Answer 2

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

Option B is the correct option.

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

Finding the mean

`\boxed{ \sf{mean = (sum \: of \: the \: items)/(total \: number \: of \: items)}}`

`\longrightarrow{ \sf{ (672)/(16) }}`

`\longrightarrow{ \sf{42}}`

Mean = 42

Finding the mode

In the given data , 46 has the highest frequency.

So, mode = 46

Hope I helped!

Best regards! :D