# RS Aggarwal Solutions Class 9 Mathematics Solutions for Mean Median And Mode Of Ungrouped Data Exercise 18B in Chapter 18 - Mean Median And Mode Of Ungrouped Data

Question 3 Mean Median And Mode Of Ungrouped Data Exercise 18B

The measurements (in mm) of the diameters of the heads of 50 screws are given below:

Diameter (in mm) (xi) Number of screws (fi)
34 5
37 10
40 17
43 12
46 6

Calculate the mean diameter of the heads of the screws.

Diameter (in mm) (xi) Number of screws (fi) fi xi
34 5 170
37 10 370
40 17 680
43 12 516
46 6 276
- Σ fi = 50 Σ fi xi = 2012

We know that

Mean diameter of the heads of the screws = Σ fi xi/ Σ fi

By substituting the values

Mean diameter of the heads of the screws = 2012/50 = 40.24mm

Therefore, the mean diameter of the heads of the screws is 40.24mm.

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