Question

Someone please help!

Answer 1

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.

The mean is:

• [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.