The following data shows the weekly amounts spent on food for a family of three in a random sample of 30 families: 40 42 46 47 47 48 52 53 53 53
54 56 57 57 57 57 58 58 58 62
62 63 63 63 63 66 67 68 72 73
1. Determine the number of classes and the class interval.
2. Group the data into a frequency distribution starting with the lowest value.
3. Draw an absolute frequency histogram using class limits.
4. Draw a relative frequency polygon for the data using midpoints.
5. Draw a cumulative frequency polygon (ogive) for the data using class limits

1. Number of classes used are 7 with 5 class interval.

Step-by-step explanation:

Note: See the attached files for the tables and answers to questions 2, 3, 4 and 5.

if i put something wrong your not gonna like it so rather not say nothing.

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week