59.9k views
0 votes
given below is the distribution of profit(000) in rupees earned by 94 book depots in a certain territory​

User Aragaer
by
7.8k points

1 Answer

6 votes

Given below is the distribution of profits (in ₹000) earned by 94 book depots in a certain territory:

Table

Profit (₹000) No. of Book Depots

Below 20 5

Below 30 14

Below 40 27

Below 50 48

Below 60 68

Below 70 83

Below 80 91

Below 90 94

Let’s find the mean and mode for this distribution:

Mean (Average): To find the mean, we multiply each profit value by the corresponding number of book depots, sum up these products, and then divide by the total number of book depots:

[ \text{Mean} = \frac{{(20 \cdot 5) + (30 \cdot 14) + (40 \cdot 27) + (50 \cdot 48) + (60 \cdot 68) + (70 \cdot 83) + (80 \cdot 91) + (90 \cdot 94)}}{{94}} ]

Calculating this gives us the mean profit.

Mode: The mode is the profit value that occurs most frequently. In this case, the profit value of 90 (₹000) has the highest frequency (94 book depots), so it is the mode.

Therefore:

Mean = Calculated value

Mode = 90 (₹000)

If you have any further questions or need additional assistance, feel free to ask!

User Begarco
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.