A survey has been conducted recently to study the hourly wages of part-time employees at the Food Delivery services sector. The result was organized into the following frequency distribution. Hourly Wages Number of Part-time Employees $40 − less than $50 12 $50 − less than $60 26 $60 − less than $70 35 $70 − less than $80 17 $80 − less than $90 8 $90 − less than $100 2 (i) Calculate the mean, mode and standard deviation of the hourly wages. (ii) Calculate the coefficient of variation. (iii) If the median is equal to 64, calculate Pearson’s 2nd coefficient of skewness and interpret your answer briefly.
A survey has been conducted recently to study the hourly wages of part-time employees at the Food Delivery services sector. The result was organized into the following frequency distribution.
|
Hourly Wages
|
Number of Part-time Employees |
|
$40 − less than $50 |
12 |
|
$50 − less than $60 |
26 |
|
$60 − less than $70 |
35 |
|
$70 − less than $80 |
17 |
|
$80 − less than $90 |
8 |
|
$90 − less than $100 |
2 |
(i) Calculate the
(ii) Calculate the coefficient of variation.
(iii) If the
(iv) The government wants to carry out similar survey next year. If the error of a point estimate of the mean is not more than $1.5, use the 97% confidence level to determine the
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