Math, asked by jaryan8928, 9 months ago

An art collector had 666 paintings and then bought a new painting for \$100{,}000$100,000dollar sign, 100, comma, 000. The value of the \blueD{\text{original $6$ paintings}}original 6 paintingsstart color #11accd, start text, o, r, i, g, i, n, a, l, space, 6, space, p, a, i, n, t, i, n, g, s, end text, end color #11accd and the \purpleC{\text{new painting}}new paintingstart color #aa87ff, start text, n, e, w, space, p, a, i, n, t, i, n, g, end text, end color #aa87ff are shown in the following dot plot. A dot plot has a horizontal axis labeled, Value, in thousands of dollars, marked from 30 to 100, in increments of 2. Dots are plotted above values as follows: 30, 2; 32, 1; 34, 1; 36, 1; 40, 1; 100, 1. The dot above 100 is shaded purple. How will buying the \purpleC{\text{new painting}}new paintingstart color #aa87ff, start text, n, e, w, space, p, a, i, n, t, i, n, g, end text, end color #aa87ff affect the mean and median?

Answers

Answered by amitnrw
23

Given : An art collector had 6 Paintings  & then bought a new painting for $100,000

To find : Change in Mean & Median  

Solution:

Original 6  Painting

Cost                 numbers f     Total Cost        cf

30 ,000 $           2                 60,000 $         2

32 ,000 $           1                 32,000 $           3

34 ,000 $           1                 34,000 $           4

36 ,000 $           1                36,000 $             5

40 ,000 $           1                 40,000 $            6

Total                   6                202,000 $

Mean = 202,000/6   = 33,666.67  $

30,000  , 30,000  , 32,000  , 34,000 , 36,000  , 40,000

Median   (32,000 + 34,000) = 33,000  $

7th Painting at 100,000 $

Total Amount = 202,000 + 100,000  = 302,000$

New Mean = 302,000/7  = 43,142.86  $

30,000  , 30,000  , 32,000  , 34,000 , 36,000  , 40,000 , 100,000

New Median = 34,000  $

Increase  in Mean = 43142.86 - 33,666.67    = 9,476.19 $

Increase in Median = 34,000 - 33,000 = 1,000 $

Increase  in Mean =  9,476.19 $

Increase in Median = 1,000 $

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Answered by fieldertaylor81
15

Answer:

Both The mean and the median will increase, but the mean will increase more then the median.

Step-by-step explanation:

Khan Academy.

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