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19 votes
19 votes
#2.) Shipment Times. A survey of 36 selected recording companies showed these numbers of days that it took to receive a shipment from the day it was ordered. Find the class mean and the modal class for the data.

Days / Frequency
1-3 6
4 - 6 8
7-9 10
10 - 12 7
13 - 15 0
16 - 18 5​

User Jjt
by
3.2k points

1 Answer

29 votes
29 votes

Answer:

1. Mean => 8.2

2. Modal class => 7 - 9

Explanation:

From the question given above, the following data were obtained:

Days >>>>>> Frequency

1 - 3 >>>>>>> 6

4 - 6 >>>>>> 8

7 - 9 >>>>>> 10

10 - 12 >>>>> 7

13 - 15 >>>>> 0

16 - 18 >>>>> 5​

Next, we shall determine the the day mark.

The day mark is obtained by adding the the lower and upper class intervals and diving the result by 2.

This is illustrated below:

Days >> Day mark >>> Frequency

1 - 3 >>> 2 >>>>>>>>>> 6

4 - 6 >>> 5 >>>>>>>>> 8

7 - 9 >>> 8 >>>>>>>>> 10

10 - 12 >> 11 >>>>>>>> 7

13 - 15 >> 14 >>>>>>>> 0

16 - 18 >> 17 >>>>>>>> 5

1. Determination of the mean.

Summation of (day mark × frequency) = (2×6) + (5×8) + (8×10) + (11×7) + (14×0) +(17×5)

= 12 + 40 + 80 + 77 + 0 + 85

= 294

Summation of frequency = 6 + 8 + 10 + 7 + 0 + 5

= 36

Mean = Summation of (day mark × frequency) / Summation of frequency

Mean = 294 / 36

Mean = 8.2

2. Determination of the modal class.

The modal class is simply the class with the highest frequency.

Days >>>>>> Frequency

1 - 3 >>>>>>> 6

4 - 6 >>>>>> 8

7 - 9 >>>>>> 10

10 - 12 >>>>> 7

13 - 15 >>>>> 0

Considering the data given above, the class with the highest frequency is 7 - 9.

Thus, the modal class is => 7 - 9

User Prateek Joshi
by
2.8k points
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