Mean, Median and standard deviation for ounces in the Bottles
When finding the Mean, we calculate the sum of the values given and then divide the answer by the number of the given values. For instance, 30 values were presented in this case, representing measurements of soda bottles that was carried out randomly.
14.23+14.32+14.98+15.00+15.11+15.21+15.42+15.47+15.65+15.74+15.77+15.80+15.82+15.87+15.98+16.00+16.02+16.05+16.21+16.21+16.23+16.25+16.31+16.32+16.34+16.46+16.47+16.51+16.91+16.96= 475.62. From the above, the sums of the 30 values indicating the number of ounces is 475.62. To find the mean volume of this study, we divide 475.62 by 30. The mean therefore is rounded to 15.85 ounces.
The median value is calculated by arranging values from the smallest to the biggest or vice versa. After the arrangement is made, the two middle number are added together and divided by two. From the above case, the two middle numbers from the collected data are 16.00 ounces and 15.98 ounces. 16.00+15.98=31.98. Therefore, 31.98 divided by two gives 15.99 ounces
The …show more content…
Some of the issues that may have caused this improper filling include the mechanical issues. This means that there might have been a problem in some of the filling machines making then unable to allow all the soda into the bottles was measured. On the same note, the wrong calibration of the machinery used or instead the faulty and missing quality control testing can also be said as the cause of the improper filling. Another reason can be due to ignorance by the operators to check the machines periodically to ensure that they are working as programmed hence not noticing that the machines are not working correctly. Human error, on the other hand, can be another problem factor contributing to the less content in the bottles. Human error can include the measuring or recording wrongly the volumes of soda in the phase of initial