Mathematics
A life insurance agent found the following data of age distribution of 100 policy holders, where f is an unknown frequency.
| Age in years | No. of policy holders |
|---|---|
| 15-20 | 7 |
| 20-25 | 12 |
| 25-30 | 15 |
| 30-35 | 22 |
| 35-40 | f |
| 40-45 | 14 |
| 45-50 | 8 |
| 50-55 | 4 |
(a) If the mean age of the policy holders is 35.65 years, find the unknown frequency f.
(b) Find the median class of the distribution.
Related Questions
(a) Construct the locus of a moving point which moves such that it keeps a fixed distance of 4.5 cm from a fixed-point O.
(b) Draw line segment AB of 6 cm where A and B are two points on the locus (a).
(c) Construct the locus of all points equidistant from A and B. Name the points of intersection of the loci (a) and (c) as P and Q respectively.
(d) Join PA. Find the locus of all points equidistant from AP and AB.
(e) Mark the point of intersection of the locus (a) and (d) as R. Measure and write down the length of AR.
(Use a ruler and a compass for this question.)
Construct a regular hexagon ABCDEF of side 4.3 cm and construct its circumscribed circle. Also, construct tangents to the circumscribed circle at points B and C which meets each other at point P. Measure and record ∠BPC.
(Use a ruler and a compass for this question.)
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- building and the tree.