Smashing Pumpkins Co. uses the LCM method, on an individual-item basis, in pricing its inventory items. The inventory at Dec. 31
, 2014, costs of products D, E, F, and G. Relevant per-unit data for these products appear below: D E F G Estimated Selling Price $120 $110 $95 $90 Cost 75 80 80 80 Replacement Cost 120 72 70 30 Estimated Selling Expense 30 30 30 25 Normal Profit 20 20 20 20 Instructions: Using the LCM rule, determine the proper unit value for balance sheet reporting purposes at Dec. 31, 2104, for each of the inventory items. g
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Answer:
Mean = 47
Median = 47.38
Standard Deviation = 12.73
Explanation:
Note: You wrote " 40 manufacturing companies, but the total number of companies you actually listed is 75, definitely you meant 75.
Let y represent the range of advertising expenditure, f represent the number of companies, x represent the midpoint of the range of advertising expenditure.
y f x fx fx²
$20 to under $30 9 25 225 5625
$30 to under $40 13 35 455 15925
$40 to under $50 21 45 945 42525
$50 to under $60 18 55 990 54450
$60 to under $70 14 65 910 59150
n = 75
Mean,
Standard Deviation:
Median:
Get the cumulative frequencies(cf)
y f cf
$20 to under $30 9 9
$30 to under $40 13 22
$40 to under $50 21 43
$50 to under $60 18 61
$60 to under $70 14 75
N = 75
Median = Size of (N/2)th item
Median = Size of (75/2)th item
Median = Size of (37.5)th item
The median class = 40 to under 50
Lower limit, L₁ = 40
Cumulative frequency, cf = 22
f = 21
Class Width, h = 10
Median =
Median =
Median = 47.38