Question

find the median of the following data 41,43,127,99,61,92,71,58,57. if 58 is replaced by 85, what will be the new median​

Answer 1

Hi nice question

Here is your's question answer
Firstly arranged the given data in increasing order

So the arrangement is

41, 43, 57, 61, 71, 85, 92, 99, 127
Now
The middle term in the above data is 71
Hence the median is 71

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Answer 2

First: 41, 43, 57, 58, 61, 71, 92, 99, 127

41   Min

50   Q1

61  Median

95.5  Q3

127  Max

Second, Replacing 58 with 85.  41, 43, 57, 61, 71, 85, 92, 99, 127

41   Min

50   Q1

71  Median

95.5  Q3

127  Max

Mode = most frequently occurring data point or data points

Mean = Average of all data points

Median = the middle or center most number

Step-by-step explanation: with data points 5, 6, 6, 8, 10 , 15

1.  put them in order

2.  number them

3. find the middle- Median

4. find the average- Mean= Sum of data/ sum of data points= 50/10

5. find the most frequently occurring data point(s) Mode= 6

Data    | counting lines to find the middle

5               1       1       5 = Min (smallest data point)

6               2       2     Q1

6               3       3

Median = 7 because it falls in the middle.  

Median means basically middle position.  

8               4       3

10              5       2     Q3

15              6       1      15 = (largest data point)

Mean = 8.333333333

Standard Deviation= 3.723797345