Question

a professional golfer is shopping for a new brand of golf ball. she likes most of the features of one particular brand, but she wants to make sure that the brand has a desirable spin rate (the rate at which the ball spins on its axis after being struck by a golf club). to test the spin rate of this new brand of ball, the golfer hits the brand of ball on 73 shots, and a computer measures the spin rate for each shot. the computer then produces the following histogram summarizing the 73 spin rates.

based on the histogram, estimate the mean spin rate (in revolutions per minute) for the sample. carry your intermediate computations to at least four decimal places, and round your answer to the nearest integer.

Explanation:

Identify class intervals and frequencies

Using the Histogram Interpretation knowledge point

$$
LATEXBLOCK0
$$

Calculate class midpoints

Using the Grouped Data Mean Estimation knowledge point

$$
LATEXBLOCK1
$$

Compute sum of products

Using the Grouped Data Mean Estimation knowledge point

$$
LATEXBLOCK2
$$

Calculate estimated mean

Using the Grouped Data Mean Estimation knowledge point

$$
LATEXBLOCK3
$$

Round to nearest integer

Using the Grouped Data Mean Estimation knowledge point

$$ \bar{x} \approx 6606 $$

Answer:

Based on the histogram, estimate the mean spin rate (in revolutions per minute) for the sample. Carry your intermediate computations to at least four decimal places, and round your answer to the nearest integer.

<blank>6606</blank>