Aziz wonders how many pieces of pizza people tend to eat at a pizza party. He surveys 10 people at the end of a pizza party and asks them how many pieces of pizza they ate. A list of his result follows. Aziz uses his results to calculate that the mean number of pieces of pizza is 3.5. Number of pieces of pizza eaten: 1, 2, 2, 2, 3, 4. 4, 5, 6, 6. After calculating
the mean, Aziz realizes he forgot to include himself! He ate 6 pieces of pizza. Describe how adding another "6" to the dataset will impact the mean.
Adding another "6" to the dataset will increase the mean number of pieces of pizza eaten. This is because the mean is calculated by adding up all the values and dividing by the total number of values. In this case, adding another "6" will increase the total sum of pieces of pizza eaten, resulting in a higher mean.
what will happen to the mean?
Adding another "6" to the dataset will increase the total sum of pieces of pizza eaten. This means that the new total sum will be higher than before, resulting in a higher mean. The mean number of pieces of pizza eaten will increase from 3.5 to a new value.
will the mean increase?
Yes, adding another "6" to the dataset will increase the mean number of pieces of pizza eaten. This is because the new total sum of pieces of pizza eaten will be higher than before, resulting in a higher mean when divided by the total number of values.
slighty or a lot?
Adding one more "6" to the dataset will only have a slight impact on the mean. Since the dataset already contains multiple values and one additional value of 6 will not drastically change the total sum of pieces of pizza eaten, the mean will increase only slightly.
