Question

C1: Calculate the estimate of the range of times.

Answer 1

The estimated time is approximately 15.41 seconds.

To calculate the estimate of the range of times, you can use the formula:

Estimated Time=
`(\sum frequency * midpoint of the range)/(\sum frequency)`

Let's calculate it step by step:

Find the midpoints of each range:

Midpoint(13 <T≤14) = (13+14)/2 = 13.5

Midpoint(14 <T≤ 15) = (14+15)/2 = 14.5

Midpoint(15 <T< 16) = (15+16)/2 = 15.5

Midpoint(16 <T≤17) = (16+17)/2 = 16.5

Midpoint(17 <T≤18) = (17+18)/2 = 17.5

Calculate the estimated time using the formula:

Estimated Time=
`((12 * 13.5)+ (21 * 14.5) + (39 * 15.5) + (20 * 16.5))/(12+21+39+20+8)`

Estimated Time=
`(162 + 304.5+ 604.5+330+140)/(100)`

Estimated Time=
`(1541)/(100) =15.41 seconds`

So, the estimated time is approximately 15.41 seconds.