lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads…

lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. the table shows her data. coin fairness test\n|number of coin flips|0|10|20|30|40|50|60|70|80|90|\n|----|----|----|----|----|----|----|----|----|----|----|\n|number of heads up|0|7|12|18|23|30|35|38|42|45|\naccording to the line of best fit, about how many times would the coin land heads up in 100 flips?\n48\n50\n51\n53

lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. the table shows her data. coin fairness test\n|number of coin flips|0|10|20|30|40|50|60|70|80|90|\n|----|----|----|----|----|----|----|----|----|----|----|\n|number of heads up|0|7|12|18|23|30|35|38|42|45|\naccording to the line of best fit, about how many times would the coin land heads up in 100 flips?\n48\n50\n51\n53

Answer

Explanation:

Step1: Observe the trend in data

As the number of coin - flips increases, the proportion of heads seems to approach 0.5. For example, when there are 90 coin - flips, the number of heads is 45, and $\frac{45}{90}=0.5$.

Step2: Predict for 100 flips

For a fair coin, we expect the number of heads to be about half of the total number of flips. For 100 flips, the expected number of heads is $100\times0.5 = 50$.

Answer:

50