Question

while at basketball practice, louisa records the number of attempts, a, it takes her to make b baskets. her data is recorded in the table.
select the average number of attempts per basket it takes louisa to make each of her first 4 baskets. round to the nearest tenth of an attempt per basket.
2.3 attempts per basket
2.4 attempts per basket
2.5 attempts per basket
2.6 attempts per basket

Explanation:

Step1: Find the total number of attempts

The number of attempts for the first 4 baskets are \(a_1 = 3\), \(a_2=4\), \(a_3 = 8\), \(a_4=10\).
The total number of attempts \(A=a_1 + a_2+a_3+a_4=3 + 4+8 + 10=25\).

Step2: Find the total number of baskets

The number of baskets \(B = 1+2 + 3+4=10\).

Step3: Calculate the average number of attempts per basket

The average \(\bar{x}=\frac{A}{B}\).
Substitute \(A = 25\) and \(B = 10\) into the formula: \(\bar{x}=\frac{25}{10}=2.5\).

Answer:

2.5 attempts per basket