Determine the mean, median, and mode of following data set:

Question

Determine the mean, median, and mode of following data set:

43.4	38.6	38.1	45.8	23.9
61.4	61.4	51.2	47.4	61.4

 Mean = 

 Median = 

 Mode = 

Round answers to the nearest hundredth.

Answer 1

Hi Tra'von,

Mean means average, so add up all values and divide by sample size; in this case, 10.

Mean=(43.4+38.6+38.1+45.8+23.9+61.4+61.4+51.2+47.4+61.4)/10

Mean=47.26

Median means the value that falls directly in the middle of the sample, so first, write the values in numerical order from smallest to largest:

23.9, 38.1, 38.6, 43.4, 45.8, 47.4, 51.2, 61.4, 61.4, 61.4

Now, given sample size 10, the middle position is between 5 and 6, so we average those two values to get the median:

(45.8 + 47.4)/2= 46.6

Median=46.6

Finally, mode means the value that appears most frequently in a dataset. You can see from this that that is 61.4, which appears three times.

Mode=61.4

I hope this helps.