2 years ago

Someone please help!

Mathematics

1 answer:

erastova [34]2 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.

[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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