Some Mathematics Questions.?

Question

The Jansen Motor Company has developed a new engine to further reduce gasoline consumption. The new engine was installed in 20 mid-sized cars and the number of miles per gallon recorded (to the nearest mile per gallon).

29 32 20 30 39

27 28 21 36 20

27 18 32 37 29

30 23 25 19 30

a) Use the “2 to the k rule” to determine the number of classes.

b) Determine the class interval.

c) Develop a frequency distribution

d) Construct a relative frequency distribution

e) construct a histogram

I know this is kind of silly, but please help me & if can pls tell me how to get the answer. I will provide BA.

Answer 1

a) "2 to the k rule"   ANSWER:  5 classes

Procedure:

Select the smallest number 2^k (2 to the k) greater than n (number of observations) [2^5 = 32 > 20 observations, k = 5]

b) "class interval"  ANSWER: interval width = 3

Procedure:

Determine the class interval or width (class interval [i] should be same for all classes):

i >= (H - L) / k [3]  (5 classes of interval width 3)

H = HIGHEST OBSERVED VALUE [39]

L = LOWEST OBSERVED VALUE [18]

c) Frequency Distribution

Bin Frequency

18 1

23.25 5

28.5 4

33.75 7

More 3