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kykrilka [37]
3 years ago
14

SEE QUESTION IN IMAGE

Mathematics
1 answer:
OLga [1]3 years ago
7 0

Answer:

<h3>20</h3>

<u>Find the mean:</u>

  • (2*1 + 1*2 + 2*3 + 1*4 + 2*5)/(2 + 1 + 2 + 1 + 2) = 3

<u>Find the variance:</u>

  • [2*(1-3)² + (2 - 3)² + 2*(3 - 3)² + (4 - 3)² + 2*(5 - 3)²]/8 = 18/8 = 9/4
<h3>21</h3>

<u>Find the range:</u>

  • 10 - 2 = 8

<u>Find the mean:</u>

  • (2 + 3 + 4 + 5 + 6 + 6 + 7 + 8 + 9 + 10)/10 = 6

<u>Find the variance:</u>

  • [(2 - 6)² + (3 - 6)² + (4 - 6)² + (5 - 6)² + 2(6 - 6)² + (7 - 6)² + (8 - 6)² + (9 -6)² + (10 - 6)²]/10 = 6

<u>The difference:</u>

  • 8- 6 = 2
<h3>22</h3>

<u>The mean:</u>

  • (0 + x + 2 + 3x + 6 + 4x + 8)/4 = 8

<u>Find the value of x and the data points:</u>

  • 8x + 16 = 32
  • 8x = 16
  • x = 2

<u>The points are:</u>

  • 0, 2 + 2 = 4, 3*2 + 6 = 12, 4*2 + 8 = 16

<u>The mean deviation:</u>

  • (0 - 8 + 4 - 8 + 12 - 8 + 16 - 8)/4 = 0

<em>Note. Mean absolute deviation is different, this is the average of absolute values of mean deviations:</em>

  • <em>(8 + 4 + 4 + 8)/4 = 6</em>
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Step-by-step explanation:

We have the following info given:

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