DTAL - MA - PA6 - Unit 6 AssessmentDue No Due DatePoints 25Submitting an external toolLATTUCA, MARYDTAL - MA - PA6 - Unit 6 AssessmentA school club listed the attendance at its weekly meetings as follows.12,20,15,18,12,18,10,14Which is true if you add a 10 to the set of data?The mean will decrease.The mean will increase.There will be no mode.The median will not change.Scientific Calculator
Q. DTAL - MA - PA6 - Unit 6 AssessmentDue No Due DatePoints 25Submitting an external toolLATTUCA, MARYDTAL - MA - PA6 - Unit 6 AssessmentA school club listed the attendance at its weekly meetings as follows.12,20,15,18,12,18,10,14Which is true if you add a 10 to the set of data?The mean will decrease.The mean will increase.There will be no mode.The median will not change.Scientific Calculator
Calculate Mean: Calculate the current mean of the data set.(12+20+15+18+12+18+10+14)/8=119/8=14.875
Add 10 and Recalculate Mean: Add a 10 to the data set and calculate the new mean.(12+20+15+18+12+18+10+14+10)/9=129/9=14.333
Compare Old and New Mean: Compare the old mean (14.875) with the new mean (14.333). The new mean is less than the old mean, so the mean will decrease.
Determine Mode: Determine the mode of the current data set.The number 12 and 18 both appear twice, so they are the modes.
Add 10 and Find New Mode: Add a 10 to the data set and determine the new mode.The number 10 will now appear twice, along with 12 and 18, so there will still be a mode.
Find Median: Find the current median of the data set.Order the data set: 10,12,12,14,15,18,18,20The median is the average of the two middle numbers: (14+15)/2=14.5
Add 10 and Find New Median: Add a 10 to the data set and find the new median.Order the new data set: 10,10,12,12,14,15,18,18,20The new median is the middle number, which is 14.
Compare Old and New Median: Compare the old median (14.5) with the new median (14). The median has changed, so the statement "The median will not change" is incorrect.
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