Answer to Question #151187 in Statistics and Probability for sarjoon

Question

1. Fifty employees of XYZ-Garment factory selected at random and their production in last month were

recorded and given below:

147, 148, 149, 141, 135, 125, 135, 166, 156, 156, 148, 175, 117, 132, 136, 169, 185, 146, 158, 119,

177, 164, 175, 126, 158, 194, 134, 156, 144, 195, 167, 148, 150, 187, 142, 150, 167, 123, 106, 187,

135, 179, 159, 164, 123, 152, 162, 111, 132, 152.

(i) Arrange the above data in a frequency distribution table with classes 100-110, 110-120, … etc.

(ii) Estimate Mean, Median and Mode.

(iii) Estimate Q1, Q3, D4, D7, P28 and P63 – Explain your answer.

(iv) Estimate Variance and Standard Deviation.

(v) If 2500 employees are working in this factor and employee’s production are in normal

distribution. Find the following:

(a) What is the total production of the factory in last month?

(b) 95% of the company production, minimum and maximum numbers in the last month.

Answer 1

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