a) To calculate the mean height of Jennifer's jumps so far, we add up all the heights and divide by the number of jumps:
Mean = (1.53 + 1.78 + 1.89 + 1.82 + 1.53 + 1.81 + 1.75 + 1.86 + 1.82) / 9
Mean = 14.79 / 9
Mean ≈ 1.64 meters
b) To find out what height Jennifer needs to jump on the tenth jump to achieve a mean of 1.80, we can set up the equation:
(1.53 + 1.78 + 1.89 + 1.82 + 1.53 + 1.81 + 1.75 + 1.86 + 1.82 + x) / 10 = 1.80
14.79 + x = 18.00
x = 18.00 - 14.79
x ≈ 3.21 meters
Therefore, Jennifer must jump at least 3.21 meters on her tenth jump to achieve a mean of 1.80 meters.
c) Given Jennifer's past results, it is unlikely that she will be able to achieve a mean height of 1.80 meters with her current jumping ability. This is because her previous jumps have been consistently below 1.80 meters, and even if she jumps 3.21 meters on her tenth jump, it would be significantly higher than any of her previous jumps. She may need to improve her technique or practice more to consistently achieve higher heights.
Jennifer wants to ensure that the mean height of her jump in the high jump for 10 jumps Is over 1.80 meters.
a) If her jumps so far have been (in metres) 1.53, 1.78, 1.89, 1.82, 1.53, 1.81, 1.75, 1.86, 1.82.
b) What height must she jump on the tenth jump to achieve a mean of 1.80?
c)Is this likely, given the past results?
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