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The grouped frequency table below represents the lengths of the fingers of some
students in centimetres.
Length (x cm) Frequency (f)
8<< < 9 3
9<3 <10 11
10 < x < 11 17
11 < x < 129
Find an estimate for the mean length.
cm

The Grouped Frequency Table Below Represents The Lengths Of The Fingers Of Some Students In Centimetres Length X Cm Frequency F 8ltlt Lt 9 3 9lt3 Lt10 11 10 Lt class=

Sagot :

Answer:

10.3

Step-by-step explanation:

When calculating the mean from a grouped frequency table, first you must estimate what the value is through finding the number halfway between the value that x is greater than and less than:

The number halfway between 8 and 9 is 8.5

The number halfway between 9 and 10 is 9.5

The number halfway between 10 and 11 is 10.5

The number halfway between 11 and 12 is 11.5

Next, you have to multiply the estimated value by its frequency:

8.5 x 3 = 25.5

9.5 x 11 = 104.5

10.5 x 17 = 178.5

11.5 x 9 = 103.5

Then, add up the values you calculated and divide them by the total frequency (all the frequencies added up).

total estimated length: 25.5 + 104.5 + 178.5 + 103.5 = 412

total frequency: 3 + 11 + 17 + 9 = 40

412/40 = 10.3

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