The weight (in gm ) if 100 apples picked at random from a basket
Weight in gm30-45 45-60 75-90 90-105 105-120
Number of apples 21 24 15 12 17 11
To find the weight of 100 apples picked at random from the basket, we can use the data given in the table.
First, let's calculate the total number of apples in the basket:
21 + 24 + 15 + 12 + 17 + 11 = 100
Now, we need to determine the weight range for each group of apples:
30-45 gm: 21 apples
45-60 gm: 24 apples
75-90 gm: 15 apples
90-105 gm: 12 apples
105-120 gm: 17 apples
Total: 89 apples
To find the weight of 100 apples, we can use the concept of weighted average. We calculate the mean weight for each weight range and then multiply it by the number of apples in that range. Finally, we sum up these weighted averages to get the total weight.
Weight Range: 30-45 gm
Mean Weight = (30 + 45) / 2 = 37.5 gm
Weighted Average = Mean Weight * Number of Apples = 37.5 * 21
Weight Range: 45-60 gm
Mean Weight = (45 + 60) / 2 = 52.5 gm
Weighted Average = Mean Weight * Number of Apples = 52.5 * 24
Weight Range: 75-90 gm
Mean Weight = (75 + 90) / 2 = 82.5 gm
Weighted Average = Mean Weight * Number of Apples = 82.5 * 15
Weight Range: 90-105 gm
Mean Weight = (90 + 105) / 2 = 97.5 gm
Weighted Average = Mean Weight * Number of Apples = 97.5 * 12
Weight Range: 105-120 gm
Mean Weight = (105 + 120) / 2 = 112.5 gm
Weighted Average = Mean Weight * Number of Apples = 112.5 * 17
Now, let's calculate the total weight by summing up the weighted averages:
Total Weight = (37.5 * 21) + (52.5 * 24) + (82.5 * 15) + (97.5 * 12) + (112.5 * 17)
Calculating the total weight will give us the weight (in grams) of 100 apples picked at random from the basket.