Question

part 3 of 6
now give the mode of the data set. if there is more than one, write them in order, separated by commas.
part 4 of 6
finally, give the midrange of the data set.
part 5 of 6
given the relationship between the mean and median above, what shape is the distribution likely to be?
the distribution will probably be skewed to the right.
the distribution will probably be skewed to the left.
the distribution will be roughly symmetric.
part 6 of 6
suppose the first value in the data set is mistakenly recorded as 0.0.
how would this affect the mean?
the mean would not change.
the mean would get larger.
the mean would get smaller.
how would this affect the median?
the median would get smaller.
the median would get larger.
the median would not change.

Explanation:

Step1: Analyze effect on mean

The mean is the sum of all data - values divided by the number of data - values. If a non - zero value is replaced with 0, the sum of the data - values will decrease. Since the number of data - values remains the same, the mean will get smaller.

Step2: Analyze effect on median

The median is the middle value when the data is arranged in ascending or descending order. If the first value is replaced with 0, and assuming the data set has a sufficient number of values, the middle value(s) may not be affected. For example, if the data set has an odd number of values and the first value is not the middle value, or if the data set has an even number of values and the first value is not among the two middle values, the median will not change.

Answer:

For the effect on the mean: The mean would get smaller.
For the effect on the median: The median would not change.