Question

Calculate an estimate for the mean of the distribution.

Answer 1

Answer:

• The mean is 26

Step-by-step explanation:

The frequency table according to the graph looks like

• Range         | 0-10   10-20  20-30  30-40  40-50
• Frequency  |   6         8          12        4          10  

Total number of frequencies is

• 6 + 8 + 12 + 4 + 10 = 40

Sum of data, using the midpoint of frequency ranges

• 6*5 + 8*15 + 12*25 + 35*4 + 45*10 = 1040

The mean is the average of data

• 1040/40 = 26

Answer 2

Midpoints of frequency ranges

• 0+10/2
• 10/2
• 5

They are

• 5,15,25,35,45

Now

sum of frequencies

• 6+8+12+4+10
• 40

Mean:-

• 6(5)+8(15)+12(25)+4(35)+10(45)/40
• 30+120+300+140+450/40
• 1040/40
• 26