Measurements of the distances, xmm, between two moving parts inside car engines were recorded and are summarised in the following table. There were 156 engines of type A and 156 engines of type B.

a. Draw and label two cumulative frequency curves on the same axes.

b. Use your graphs to estimate:

i. The number of engines of each type with measurements between 0.30 and 0.70mm

ii. The total number of engines with measurements that were less than 0.55mm.

c. Both types of engine must be repaired if the distance between these moving parts is more than a certain fixed amount. Given that 16 type A engines need repairing, estimate the number of type B engines that need repairing.

Transcribed Image Text:

Distance (xmm) x<0.10 x< 0.35 x< 0.60 x<0.85 x<1.20 Engine A (cf) 16 84 134 156 Engine B (ef) 8 52 120 156