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Nadya [2.5K]
3 years ago
8

Someone please help!

Mathematics
1 answer:
erastova [34]3 years ago
8 0

Answer:

  • k = 6.26

Step-by-step explanation:

Find the midpoint of each frequency range, multiply that number by the frequency, sum up and divide by the total frequency.

This will give the mean number.

<u>The mean is:</u>

  • [17*( 3 + 3.5)/2 + 21*(3.5 + k)/2 + 33*(k + 4)/2 + 54*(4 + 4.5)/2 + 15*(4.5 + 6)/2]/140 = 4.09
  • 55.25 + 10.5k + 36.75 + 16.5k + 66 + 229.5 + 78.75 = 140*4.09
  • 17k + 466.25 = 572.6
  • 17k = 572.6 - 466.25
  • 17k = 106.35
  • k = 106.35/17
  • k = 6.26

Note, I expected the value of k between 3.5 and 4. This is a bit of illogical outcome.

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