The following data give the weekly amounts spent on groceries for a sample of ho

Question

The following data give the weekly amounts spent on groceries for a sample of households

: $275 ,335 ,133 ,61 ,219 ,351 ,302 ,293 ,264 ,280 ,229 ,276 ,243 ,188 ,183 ,179 ,205 ,299 ,164 ,174 ,311 ,325 ,245 ,280 ,67 ,71 ,301, 92 ,100 ,126 ,220 ,427 ,301 ,189 ,188 ,272 ,367 ,225 ,651 ,392 ,251 ,263 ,405 ,127 ,338

a. How many classes would you recommend?

Number of classes            

b. What class interval would you suggest?

Class interval            

c. What would you recommend as the lower limit of the first class?

Lower limit of the first class

d. Organize the data into a frequency distribution.

      Class Frequency ..... to under ......... ...........      to under         to under       to under         to under         to under    Total  

Explanation / Answer

a) Number of classes = 2^k > n

N = 45, at k = 6 , 2^k > 45 , hence 6 intervals.

b)

i >= (h - l / k) = (651-61) / 6 = 98.5 ~ 100

h = highest observation

l = lowest observation

k = class

c) lower limit should be 60 to cover all observations

d)

   Class Frequency 60 to under 160 8 160 to under 260 15 260 to under 360 17 360 to under 460 4 460 to under 560 0 560 to under 660 1 45

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