Question

Find the mean, median, and mode of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data. MLB Batting Averages0.312 0.314 0.284 0.292 0.319 0.286 0.290 0.303 0.323 0.285 0.282 0.323 0.286 0.287 0.289 0.326 0.275 0.286 0.299 0.296 Answer Separate multiple answers with commas, if necessary.

Answer 1

solution

given that

0.312 0.314 0.284 0.292 0.319 0.286 0.290 0.303 0.323 0.285 0.282 0.323 0.286 0.287 0.289 0.326 0.275 0.286 0.299 0.296

1st arrange data lowest to highest

0.275, 0.282, 0.284, 0.285, 0.286, 0.286, 0.286, 0.287, 0.289, 0.290, 0.292, 0.296, 0.299, 0.303, 0.312, 0.314, 0.319, 0.323, 0.323, 0.326

The mean of sample is   

x/n =  (0.275+ 0.282+ 0.284+ 0.285+ 0.286+ 0.286+0.286+ 0.287+ 0.289+ 0.290+ 0.292+ 0.296+ 0.299+ 0.303+0.312+ 0.314, 0.319+ 0.323+ 0.323+ 0.326/ 20)

= 0.291

The sample mean is 0.291

median = median is the middle most observation od data set

0.275, 0.282, 0.284, 0.285, 0.286, 0.286, 0.286, 0.287, 0.289, 0.290, 0.292, 0.296, 0.299, 0.303, 0.312, 0.314, 0.319, 0.323, 0.323, 0.326

median =0.290 + 0.292 / 2

median = 0.291

mode = it is represent the repeated value in data set

0.275, 0.282, 0.284, 0.285, 0.286, 0.286, 0.286, 0.287, 0.289, 0.290, 0.292, 0.296, 0.299, 0.303, 0.312, 0.314, 0.319, 0.323, 0.323, 0.326

mode = 0.286 , 0.323