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DTAL - MA - PA6 - Unit 6 Assessment
Due No Due Date
Points 25
Submitting an external tool
LATTUCA, MARY
DTAL - MA - PA6 - Unit 6 Assessment
A school club listed the attendance at its weekly meetings as follows.

12,20,15,18,12,18,10,14
Which 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

DTAL - MA - PA66 - Unit 66 Assessment\newlineDue No Due Date\newlinePoints 2525\newlineSubmitting an external tool\newlineLATTUCA, MARY\newlineDTAL - MA - PA66 - Unit 66 Assessment\newlineA school club listed the attendance at its weekly meetings as follows.\newline12,20,15,18,12,18,10,14 12,20,15,18,12,18,10,14 \newlineWhich is true if you add a 1010 to the set of data?\newlineThe mean will decrease.\newlineThe mean will increase.\newlineThere will be no mode.\newlineThe median will not change.\newlineScientific Calculator

Full solution

Q. DTAL - MA - PA66 - Unit 66 Assessment\newlineDue No Due Date\newlinePoints 2525\newlineSubmitting an external tool\newlineLATTUCA, MARY\newlineDTAL - MA - PA66 - Unit 66 Assessment\newlineA school club listed the attendance at its weekly meetings as follows.\newline12,20,15,18,12,18,10,14 12,20,15,18,12,18,10,14 \newlineWhich is true if you add a 1010 to the set of data?\newlineThe mean will decrease.\newlineThe mean will increase.\newlineThere will be no mode.\newlineThe median will not change.\newlineScientific Calculator
  1. Calculate Mean: Calculate the current mean of the data set.\newline(12+20+15+18+12+18+10+14)/8=119/8=14.875(12 + 20 + 15 + 18 + 12 + 18 + 10 + 14) / 8 = 119 / 8 = 14.875
  2. Add 1010 and Recalculate Mean: Add a 1010 to the data set and calculate the new mean.\newline(12+20+15+18+12+18+10+14+10)/9=129/9=14.333(12 + 20 + 15 + 18 + 12 + 18 + 10 + 14 + 10) / 9 = 129 / 9 = 14.333
  3. Compare Old and New Mean: Compare the old mean (14.87514.875) with the new mean (14.33314.333). The new mean is less than the old mean, so the mean will decrease.
  4. Determine Mode: Determine the mode of the current data set.\newlineThe number 1212 and 1818 both appear twice, so they are the modes.
  5. Add 1010 and Find New Mode: Add a 1010 to the data set and determine the new mode.\newlineThe number 1010 will now appear twice, along with 1212 and 1818, so there will still be a mode.
  6. Find Median: Find the current median of the data set.\newlineOrder the data set: 10,12,12,14,15,18,18,2010, 12, 12, 14, 15, 18, 18, 20\newlineThe median is the average of the two middle numbers: (14+15)/2=14.5(14 + 15) / 2 = 14.5
  7. Add 1010 and Find New Median: Add a 1010 to the data set and find the new median.\newlineOrder the new data set: 10,10,12,12,14,15,18,18,2010, 10, 12, 12, 14, 15, 18, 18, 20\newlineThe new median is the middle number, which is 1414.
  8. Compare Old and New Median: Compare the old median (14.514.5) with the new median (1414). The median has changed, so the statement "The median will not change" is incorrect.

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