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QUESTION

Response Post: Choose one (1) classmate to respond to.Using their original data set (not yours), add two new data values to their data set so that the new mean is exactly double what their original m

Response Post: 

Choose one (1) classmate to respond to.Using their original data set (not yours), add two new data values to their data set so that the new mean is exactly double what their original mean was. State the new data set (should be seven values), and what the new mean is. How did you determine which values to add?

  1. I have taken the 5 data set of my mom blood sugar level of each day.

Day 1 = 125

Day 2 = 133

Day 3 = 129

Day 4 = 125

Day 5 = 128

Mean= 125+133+129+125+128=640/5 = 128

Median= 125, 125, 128, 129, 133 = 128

Range = 133-125= 8

Standard deviation = 8.8

2.1) If you increase the highest original data value by 5 and decrease the lowest original data value by 1, what measure changes; the mean, median, both, or neither?  Why?

124,125,128,129,138

Mean = 128.8

Mean is increase because sum of the data value is increase

Median is 128 which is remain same because lowest and higher value remain same.

2.2) If you add 10 to each original data value, what measure changes; the standard deviation, range, both, or neither?  Why?

135, 135, 138, 139, 143

Range = 143-135= 8 range remain same because of data values are increased by same number which doesn’t effect on range.

Standard deviation is also remaining 8.8 because of all data values are increased by 10.

2.3) If you multiply each original data value by 3, what measure changes; the standard deviation, range, both, or neither?  Why?

375, 375, 384, 387, 414

Range= 414-375= 39

Standard deviation =205.2

      Hear both Range and Standard deviation increased because all values are increased by 3 times but above answer all value increase by same number.

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