Question

ijУ¼×£¬ÒÒÁ½ÃûÌøÔ¶Ô˶¯Ô±²Î¼Ó¼¯ÑµÊ±×î½ü10´ÎµÄ±ÈÈü³É¼¨ÈçÏ£º£¨µ¥Î»£ºm£©
¼×£º5.85  5.93  6.07  5.91  5.99  6.13  5.98  6.05  6.00  6.19
ÒÒ£º6.11  6.08  5.83  5.92  5.84  5.81  6.18  6.17  5.85  6.21
£¨1£©ËûÃǵÄƽ¾ù³É¼¨·Ö±ðÊǶàÉÙ£¿
£¨2£©¼×£¬ÒÒµÄ10´Î±ÈÈüµÄ·½²î·Ö±ðÊǶàÉÙ£¿
£¨3£©ÕâÁ½ÃûÔ˶¯Ô±µÄ³É¼¨¸÷ÓÐʲôÌص㣿
£¨4£©Èç¹ûÒª´ÓÖÐÑ¡³öÒ»È˲μÓÊ춱ÈÈü£¬Àú½ì±ÈÈü±íÃ÷£¬³É¼¨´ïµ½5.92m¾ÍÄܶá¹Ú£¬ÄãÈÏΪӦѡ˭²Î¼Ó±ÈÈü£¿Èç¹ûÀú½ì±ÈÈü³É¼¨±íÃ÷£¬³É¼¨´ïµ½6.08m¾ÍÄÜ´òÆƼǼ£¬ÄãÈÏΪÓÖÓ¦¸ÃÑ¡Ë­²Î¼ÓÕâ´Î±ÈÈüÄØ£¿

Answer 1

·ÖÎö£º¸ù¾Ýƽ¾ùÊýºÍ·½²îµÄ¸ÅÄî·Ö±ðÇóµÃ¼×ÒÒÁ½È˵Äƽ¾ùÊýºÍ·½²î£®È»ºóÔÙ·ÖÎö£®

½â´ð£º½â£º£¨1£©

.

x

_¼×=

1

10

¡Á£¨5.85+5.93+¡­+6.19£©=6.01£¬

.

x

_ÒÒ=

1

10

¡Á£¨6.11+6.08+¡­+6.21£©=6£¨m£©£®

£¨2£©s_¼×²=

1

10

¡Á[£¨6.01-5.85£©²+£¨6.01-5.93£©²+¡­+£¨6.01-6.19£©²]=0.00954£¨Æ½·½Ã×£©£®
s_ÒÒ²=

1

10

¡Á[£¨6-6.11£©²+£¨6-6.08£©²+¡­+£¨6-6.21£©²]=0.02434£¨Æ½·½Ã×£©£®

£¨3£©¼×µÄ³É¼¨½ÏÎȶ¨£¬µ«ÒÒÓм¸´ÎµÄ³É¼¨ÌرðºÃ£¬Èç¹û·¢»ÓµÃºÃ£¬Òҵijɼ¨±È¼×ºÃ£®

£¨4£©ÒòΪs_¼×²£¼s_ÒÒ²£¬¼´¼×³É¼¨½ÏÎȶ¨£¬Èç¹û³É¼¨´ïµ½5.92m¾ÍÄܶá¹Ú£¬Ó¦Ñ¡¼×²ÎÈü£®µ«ÒÒ´ïµ½6.08mµÄ¿ÉÄÜÐԽϴó£¬Èç¹û³É¼¨´ïµ½6.08mÄÜ´òÆƼͼ£¬Ó¦Ñ¡ÒÒ²ÎÈü£®

µãÆÀ£ºÒ»°ãµØÉèn¸öÊý¾Ý£¬x₁£¬x₂£¬¡­x_n£¬Æ½¾ùÊý

.

x

=

1

n

£¨x₁+x₂+x₃¡­+x_n£©£¬·½²îS²=

1

n

[£¨x₁-

.

x

£©²+£¨x₂-

.

x

£©²+¡­+£¨x_n-

.

x

£©²]£¬Ëü·´Ó³ÁËÒ»×éÊý¾ÝµÄ²¨¶¯´óС£¬·½²îÔ½´ó£¬²¨¶¯ÐÔÔ½´ó£¬·½²îԽС£¬²¨¶¯ÐÔԽС£®