the following data relate to size of shoes sold at a store during the given week find the average size by the short cut method

size of shoes. 4,5,6,7,8,9,10
no of shoes 15,30,45,60,55,40,5

Not sure what the "shortcut method" is, but if you can see that the data are symmetric about a middle value, that value is the mean.

Clearly, the first set has mean=7.

So, what about the 2nd set?
5,15,30,40,45,55,60
Hmmm. Not so clear. Better explain what your method involves.

Solve karke bataye

To find the average shoe size using the shortcut method, follow these steps:

1. Multiply each shoe size by the corresponding number of shoes sold:
4 x 15 = 60
5 x 30 = 150
6 x 45 = 270
7 x 60 = 420
8 x 55 = 440
9 x 40 = 360
10 x 5 = 50

2. Add up the products:
60 + 150 + 270 + 420 + 440 + 360 + 50 = 1,750

3. Add up the number of shoes sold:
15 + 30 + 45 + 60 + 55 + 40 + 5 = 250

4. Divide the sum from step 2 by the sum from step 3:
1,750 / 250 = 7

Therefore, the average shoe size sold during the week is 7.

To find the average size of shoes using the shortcut method, you need to perform the following steps:

Step 1: Multiply each shoe size by its corresponding number of shoes.

4 * 15 = 60
5 * 30 = 150
6 * 45 = 270
7 * 60 = 420
8 * 55 = 440
9 * 40 = 360
10 * 5 = 50

Step 2: Add up all the values calculated in step 1.

60 + 150 + 270 + 420 + 440 + 360 + 50 = 1750

Step 3: Divide the sum from step 2 by the total number of shoes sold.

Total number of shoes = 15 + 30 + 45 + 60 + 55 + 40 + 5 = 250

Average size = 1750 / 250 = 7

Therefore, the average shoe size by the shortcut method is 7.