(a) (i) Find the mean of the contractor's measurements. (ii) Calculate the percentage error between the mean and the stated, approximate length of 6 metres. (b) Calculate 3.87 -8.7303, giving your answer (i) correct to the nearest integer, (ii) in the form a×10, where 1sa<10, ke Z.

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1. Five pipes labelled, “6 metres in length”, were delivered to a building site. The contractor measured each pipe to check its length (in metres) and recorded the following:

5.96, 5.95, 6.02, 5.95, 5.99

(a) (i) Find the mean of the contractor’s measurements.

(ii) Calculate the percentage error between the mean and the stated, approximate length of 6 metres.

(b) Calculate \( \sqrt{3.87^5 - 8.73^{0.5}} \), giving your answer

(i) correct to the nearest integer,

(ii) in the form \( a \times 10^k \), where \( 1 \le a < 10, k \in \mathbb{Z} \).
Transcribed Image Text:1. Five pipes labelled, “6 metres in length”, were delivered to a building site. The contractor measured each pipe to check its length (in metres) and recorded the following: 5.96, 5.95, 6.02, 5.95, 5.99 (a) (i) Find the mean of the contractor’s measurements. (ii) Calculate the percentage error between the mean and the stated, approximate length of 6 metres. (b) Calculate \( \sqrt{3.87^5 - 8.73^{0.5}} \), giving your answer (i) correct to the nearest integer, (ii) in the form \( a \times 10^k \), where \( 1 \le a < 10, k \in \mathbb{Z} \).
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