5 students did long jump at track and field. 4 jumped 114cm,107cm,102cm and 98cm. the mean for all 5 was 101.8 . what did the fifth girl jump?

Question

Rebecca participated in high jump for track and field against 4 other students. The heights the other students were able to jump were, 102cm, 98cm, 114cm, 107cm. The mean height of all the jumpers was 101.8cm. What height did Rebecca jump?What place did Rebecca get?

Answer 1

Remember that the mean is the total divided by the number of jumps.

 

Since the mean was 101.8 and the number of jumps was 5, the total must have been 101.8 * 5, which is 509.

 

So what was the total for jumps you already know about?  114 + 107 + 102 + 98 = 421.  So the other jump must be the number that when added to 421 gives you 509, or 509 minus 421.  That's 88.

 

It looks like Rebecca came in last.

 

Answer 2

(102 + 98 + 114 + 107 + x) / 5 = 101.8

(421 + 4) / 5 = 101.8

421 + x = 509

x = 88

 

The fifth person jumped 88 cm.