Question

if 35 is removed from the data: 30,34,35,36,38,39,40, then the median increases by. ​

Answer 1

Answer:

0.5

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Answer 2

Answer:

Median increases by 1

Step-by-step explanation:

Given data

30,34,35,36,38,39,40 (they are in ascending order)

number of terms n = 7 (odd)

Median = (n+1)/2 th observation = (7+1)/2 th observation = 4th observation

            = 36

Now 35 is removed

new data is 30,34,36,38,39,40.    number of terms n = 6 (odd)

∴ Median = $[(n/2)^{th} observation + (n/2+1)^{th} observation] /2$

               = $3^{rd} observation + 4^{th} observation / 2$

               = (36+38)/2 = 74 / 2 = 37