(a) The following numbers are the amount of words in each line from a page of a novel: 27 13 23 32 18 24 18 15 37 19 19 29 17 29 30 48 32 15 21 11 22 12 11 26 13 27 24 18 46 18 24 31 20 36 17 17 23 38 22 16 Construct a cumulative frequency distribution table.  (b) A market survey was done to see the choice of customers from different age groups in purchasing perfumes. A sample of 80 customers purchasing different brand of perfumes reveals the following age distribution: Age (in years) Number of customers  Age (in years) Number of customers 10 - 19 6 20 - 29 10 30 - 39 30 40 - 49 20 50 - 59 10 60 - 69 4 Total 80 Required: (i) Mean  (ii) Mean deviation.  (iii) Variance.  (iv) Standard deviation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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(a) The following numbers are the amount of words in each line from a page of a novel:

27 13 23 32 18 24 18 15 37 19 19
29 17 29 30 48 32 15 21 11 22 12
11 26 13 27 24 18 46 18 24 31 20
36 17 17 23 38 22 16

  • Construct a cumulative frequency distribution table. 

(b) A market survey was done to see the choice of customers from different age groups in purchasing perfumes. A sample of 80 customers purchasing different brand of perfumes reveals the following age distribution:

Age (in years) Number of customers 

Age (in years) Number of customers
10 - 19 6
20 - 29 10
30 - 39 30
40 - 49 20
50 - 59 10
60 - 69 4
Total 80

Required:
(i) Mean 
(ii) Mean deviation. 
(iii) Variance. 
(iv) Standard deviation. 

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