9 The heights of 120 pivot blocks were measured: Height x (mm) 29-4 29-5 29-6 29-7 29-8 29-9 Frequency f 6 25 34 32 18 5 (a) Calculate (i) the mean height and (ii) the standard deviation. (b) For a batch of 2500 such blocks, calculate (i) the limits between which all the heights are likely to lie and (ii) the number of blocks with height greater than 29-52 mm.

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i am not able to copy these questions , i am  struggling to get the solutions, can you please help me out in solving these questions presented via the pictures. Thank you

10 A machine is set to produce bolts of nominal diameter 25-0 mm.
Measurement of the diameters of 60 bolts gave the following frequency
distribution:
Diameter x (mm) 23-3-23-7
23-8–24-2
24-3-24-7
24-8-25-2
Frequency f
2
4
10
17
Diameter x (mm)
25-3–25-7
25-8-26-2
26-3-26-7
Frequency f
16
8
3
(a) Calculate (i) the mean diameter and (ii) the standard deviation from
the mean.
(b) For a full run of 3000, calculate (i) the limits between which all the
diameters are likely to lie, (ii) the number of bolts with diameters less
than 24-45 mm.
Transcribed Image Text:10 A machine is set to produce bolts of nominal diameter 25-0 mm. Measurement of the diameters of 60 bolts gave the following frequency distribution: Diameter x (mm) 23-3-23-7 23-8–24-2 24-3-24-7 24-8-25-2 Frequency f 2 4 10 17 Diameter x (mm) 25-3–25-7 25-8-26-2 26-3-26-7 Frequency f 16 8 3 (a) Calculate (i) the mean diameter and (ii) the standard deviation from the mean. (b) For a full run of 3000, calculate (i) the limits between which all the diameters are likely to lie, (ii) the number of bolts with diameters less than 24-45 mm.
9 The heights of 120 pivot blocks were measured:
Height x (mm)
29.4
29-5
29-6 29-7
29-8
29.9
Frequency f
6
25
34
32
18
5
(a) Calculate (i) the mean height and (ii) the standard deviation.
(b) For a batch of 2500 such blocks, calculate (i) the limits between which
all the heights are likely to lie and (ii) the number of blocks with
height greater than 29-52 mm.
Transcribed Image Text:9 The heights of 120 pivot blocks were measured: Height x (mm) 29.4 29-5 29-6 29-7 29-8 29.9 Frequency f 6 25 34 32 18 5 (a) Calculate (i) the mean height and (ii) the standard deviation. (b) For a batch of 2500 such blocks, calculate (i) the limits between which all the heights are likely to lie and (ii) the number of blocks with height greater than 29-52 mm.
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