Suppose you own a company that manufactures raincoats. Due to cost-related issues, you can produce only two sizes: one for males and one for females. You want to select these sizes based on the respective average heights of males and females in Mumbai to ensure that the raincoats fit the majority of the population.

Now, from Wikipedia, you find that the average height in India is 166.3 cm for males and 152.6 cm for females, and you assume that height distributions follow a normal curve.

You want to check whether these average figures hold true for the city of Mumbai as well. So, you collect data of the heights of 500 males and 500 females in Mumbai, all randomly selected.

Find the average height(s) for the city of Mumbai.

1. The mean and standard deviation of the sample male population are ____

Serial No.	Males	Females
1	165.1	151.4
2	166.6	155.3
3	162.4	150.1
4	161.9	145
5	169.9	150.7
6	166.9	149
7	167.6	153
8	169.4	152.9
9	163.9	155
10	169.8	154.4
11	165.4	156.9
12	164.7	148
13	172.4	154.8
14	164.9	146.9
15	162	151.9
16	169.7	152
17	166.9	156.8
18	168.1	152.5
19	167	152.6
20	160.7	153.7
21	162.9	152
22	164	152
23	167.2	156.1
24	169.5	151.6
25	165.1	155.4
26	161.4	150.4
27	164	156
28	167.3	150.1
29	162.9	153.9
30	164.8	148.9
31	167.5	150.4
32	169.6	155.5
33	168.7	153.6
34	163.9	150
35	166.4	150
36	163.3	147.4
37	166.1	150.9
38	164.9	148.5
39	160.9	153.5
40	169.3	152.7
41	162.5	151.4
42	169.7	158.6
43	167.3	155.1
44	166.7	151.9
45	169.7	153.9
46	168.3	149.6
47	162.2	156.3
48	161.3	149.7
49	173	159.1
50	165.4	151.9
51	169.6	148
52	163.8	151.6
53	166.6	156.4
54	170.1	156.8
55	163.8	156
56	163.9	154.9
57	170.1	149
58	164.6	155.4
59	170.6	155.2
60	168.7	161
61	167.5	154.7
62	170.1	153.1
63	172.2	152
64	168.4	152.6
65	164.7	157.3
66	160.7	147.2
67	160.3	155.3
68	165.4	148.2
69	168	157.6
70	168.8	151.8
71	163.1	156.4
72	163.8	150.8
73	165.5	151.9
74	167.9	152.4
75	165	154
76	165.3	150.2
77	167.2	159.6
78	163.2	156.3
79	169.5	149.5
80	165.9	152.1
81	165.8	151.2
82	163.2	150.5
83	164.2	149.6
84	165.9	156
85	166.2	159.6
86	165.8	149.9
87	169.4	149.2
88	163.6	148.6
89	172.6	154.5
90	166.4	154.5
91	164.2	155
92	168.8	152.3
93	167.1	151.6
94	157.8	153.7
95	162.7	151.8
96	163.2	157.5
97	164.3	146.8
98	167.3	152.4
99	168.3	154.1
100	164.5	151.7
101	163.5	154.3
102	165.3	149.3
103	165.8	152.4
104	170.8	152
105	165.4	150.9
106	170.8	151
107	166.4	151.3
108	158.9	154.4
109	168.1	153.3
110	165.8	153.6
111	167.8	154.5
112	164.2	154.7
113	165.8	159.7
114	170.7	149.1
115	164.7	151.9
116	167.8	148.9
117	166.8	153.5
118	168.1	153.6
119	169	151.6
120	168	154.7
121	169.5	152.2
122	168.2	153.5
123	163.9	150.4
124	169.3	149.8
125	168.6	149.9
126	166.5	148.5
127	167.7	150.1
128	164.7	154
129	164.9	151.2
130	167.5	153.7
131	162.1	155
132	169.1	155.9
133	166.1	153.6
134	164.8	151.9
135	168.1	154.9
136	169.4	155.9
137	167.1	157.6
138	161.4	151.6
139	166.4	148.3
140	167	152.9
141	165.1	155.8
142	163.7	158.5
143	167.3	152.9
144	167.3	149.9
145	165.3	154.2
146	167.5	150.7
147	163.9	155
148	162.7	156.4
149	165.8	154
150	168.9	153.1
151	166.9	148.7
152	170.4	148.1
153	167.7	152.7
154	167.1	157.4
155	167.4	152.1
156	169.9	154.1
157	168.4	152.6
158	164	155.7
159	168	158.5
160	165.1	152.6
161	167.6	154.7
162	165.4	147.3
163	168.9	148.1
164	169	153.8
165	170.2	156
166	168.1	157.7
167	165.7	154.2
168	169.5	151.9
169	167.7	154.2
170	162.8	154.9
171	164.6	147.5
172	167.8	158.8
173	165.6	152.8
174	167.6	152.2
175	165.9	156.1
176	163.1	148.7
177	166	145.6
178	166.7	147.5
179	170.5	154.2
180	166	151.7
181	166.9	154.5
182	170.6	154.3
183	170.8	152.4
184	167.2	155.1
185	167	148.2
186	168.3	155.4
187	171.3	151.1
188	171.5	150.4
189	161	155.5
190	165.7	151.5
191	162.9	154
192	166.1	154.4
193	166	155.4
194	160.8	155
195	165.2	151.4
196	166.1	157.8
197	166.4	150.8
198	166.4	154.6
199	171.2	149.3
200	164.7	151.2
201	170.2	150.7
202	165.7	150.1
203	169.5	154.5
204	167.3	155.6
205	171.8	154.9
206	168	154.4
207	166.9	153.4
208	165.4	152.5
209	165.2	151.2
210	162.2	158
211	166.8	151.5
212	166	152.1
213	167	154.2
214	169.7	149.6
215	167.4	153
216	167.9	143.6
217	162.2	153.8
218	166.6	155.1
219	163	154.7
220	168.6	156.5
221	166.4	151.6
222	166.6	154.8
223	165.2	153.3
224	166.2	153.7
225	169.8	156.9
226	168.3	153.1
227	171	155.4
228	162.8	153.2
229	162.4	148.7
230	164.8	151.3
231	163.1	153.5
232	166	148.1
233	164.2	150.4
234	169.9	151.4
235	170.3	150.6
236	167.2	149.1
237	170.8	153.1
238	172	157.8
239	163.4	154.4
240	168.8	151.3
241	171.5	152.6
242	166.9	153.4
243	166.8	153.4
244	165.3	154.1
245	174.5	155.9
246	165.4	155.4
247	159.9	149.7
248	169.9	156.2
249	158.2	154.2
250	167.7	150.7
251	166.8	150.8
252	167.6	152
253	161.5	155.9
254	166.5	149
255	169.8	154.9
256	166.1	153
257	168.4	150.1
258	169	154.6
259	164.4	149.2
260	167.2	151.3
261	165.1	153
262	163.5	153.7
263	166.3	156.6
264	164.6	151.2
265	163.8	152.1
266	171.8	152.4
267	170.6	151.1
268	166.9	154.1
269	169.4	155.1
270	165	147.9
271	168	153.4
272	167.2	154.4
273	171.5	148.5
274	165.8	154.7
275	173	143.1
276	160.4	152.7
277	162.4	151.1
278	167.1	151.4
279	168.1	156.6
280	158.9	151.3
281	166.8	157.2
282	167.2	152.8
283	165	153.6
284	165	156.3
285	167.8	151.8
286	167.9	152.2
287	170.5	149.3
288	168.5	151
289	163.8	153.8
290	167.2	154.5
291	167.1	150.9
292	166.5	158.8
293	171.9	150.3
294	165.6	152.8
295	170	148.7
296	169.1	151.9
297	163.7	152.9
298	170.3	147.8
299	171.8	151.7
300	161	151.2
301	164.3	152.5
302	166.2	158
303	165.5	154.2
304	171.4	151.6
305	169.3	152.6
306	166.6	154.5
307	165.3	153.1
308	162.6	152.7
309	164.8	151.3
310	165.4	155.2
311	169.6	151.7
312	171.1	150.5
313	168.4	153.9
314	168.8	156.1
315	168.5	149.1
316	169.6	151.7
317	164.2	150.5
318	163.1	148.1
319	161.9	152.6
320	165.6	154.3
321	165.7	155.2
322	161.4	151.6
323	168.4	153.9
324	166.6	154.5
325	168.7	159.5
326	171.5	147
327	170.4	152.4
328	163.5	153.3
329	170.3	151.6
330	161.2	150.7
331	165.4	155.5
332	164.5	160.8
333	165.7	156.5
334	164.2	154.2
335	172	151.2
336	166.8	150.6
337	166.2	153.7
338	167.6	155.3
339	171.2	156.8
340	166.1	151.8
341	163.7	152.2
342	159.9	154.7
343	167.5	151.5
344	168	152.3
345	166.3	152.4
346	164	149.5
347	170.8	153.5
348	165.2	157
349	166	147.7
350	164.5	153.3
351	168.1	150.8
352	168.4	158.2
353	166.8	152.2
354	165.9	149.1
355	166.1	151.4
356	165.8	151.5
357	164	150.2
358	166.9	150.9
359	166.1	150.2
360	165.4	147.1
361	168.4	152.1
362	160.8	153.1
363	168.4	156.4
364	168.2	157.6
365	164.1	153.9
366	163.3	149.2
367	174.9	154.2
368	164	151.2
369	162.7	152.6
370	167.2	150.9
371	166.9	156.6
372	161.7	155.3
373	166.9	154.7
374	164.9	152.9
375	161	151.3
376	169.2	154.5
377	163.5	156.1
378	164.1	153.3
379	165.4	156.4
380	166.2	151.9
381	171.6	151.8
382	172	151.8
383	165	154.8
384	168.4	151.1
385	165.3	152.8
386	165.2	155.7
387	162.4	154.4
388	166.9	152.2
389	170.7	151.6
390	162	158.3
391	172.3	150.7
392	162.2	154
393	168.6	155.4
394	168.8	151.3
395	165.9	150.9
396	167.4	145.6
397	159.6	155.3
398	171.1	150.5
399	166.8	156.7
400	168.5	153.3
401	162.3	151.3
402	167	153.7
403	164.1	154.8
404	163.1	150.6
405	168.3	152.6
406	162.9	151.2
407	161.7	150.5
408	169.4	150.7
409	166.2	151.4
410	165.4	153.3
411	164.1	151.8
412	167.8	155.3
413	170.2	147.9
414	169.1	149.8
415	168.6	156.8
416	168.8	157.1
417	165.6	152.8
418	167.4	153.8
419	163.8	153.5
420	164	153.5
421	163.4	153.5
422	167.3	152
423	170.4	149.7
424	169.3	150.7
425	167.1	151.8
426	159.9	156.1
427	167.3	148.3
428	165.7	152.8
429	170.2	156.9
430	160.1	154.5
431	171.2	150.3
432	166.9	156
433	160.2	154.1
434	168.1	152.2
435	165.8	152.8
436	166.5	155.3
437	171.9	153.5
438	163.5	157
439	161.6	151.3
440	168	155.1
441	164.5	150.5
442	166.4	152.5
443	167.4	155.9
444	163.5	155.6
445	164.2	156.1
446	164.4	153
447	172	155.9
448	162.5	154
449	167.3	153.1
450	165.4	152.8
451	165.9	156.3
452	165.5	155.6
453	167.5	148.5
454	166.5	152.1
455	168	155
456	165.5	153.3
457	167.3	157
458	169.2	149.1
459	165	149.4
460	163.3	153.7
461	170.3	151.9
462	162.9	153.3
463	168.6	151
464	167.7	147.4
465	170	160.1
466	173.1	151.8
467	164.4	158.3
468	169.2	151.1
469	170.8	147.7
470	170.1	153.4
471	161.1	152.9
472	171.1	151.5
473	166.7	150.9
474	163.5	153
475	169.7	155.7
476	165.2	152.6
477	167.1	154.6
478	172.9	152.4
479	167.8	154.8
480	165	155.7
481	165.9	156
482	166.9	154.8
483	168.5	151.3
484	166.1	159.9
485	167.1	161.5
486	162.1	150.4
487	167.4	151.3
488	165.4	154
489	171	152.1
490	167.4	149.9
491	162.9	156.8
492	169.9	151.7
493	165.9	150.1
494	166.6	153.4
495	170.3	153.8
496	165.3	154.4
497	166.3	149.3
498	169.2	149.9
499	167.8	153.8
500	164.1	153.6