2 more problems and ill be done plz help!!!!

the mean value of land and buildings per acre from a sample of 75 farms is $1500, with a standard deviation of $200. the data set has a normal distribution. estimate the number of farms whose land and building values per acre are between $1100 and $1900.

round to the nearest whole number as needed.

Question

2 more problems and ill be done plz help!!!!

the mean value of land and buildings per acre from a sample of 75 farms is $1500, with a standard deviation of $200. the data set has a normal distribution. estimate the number of farms whose land and building values per acre are between $1100 and $1900.

round to the nearest whole number as needed.

anonymous · Answer

1100 is 2 standard deviations below the mean, 1900 2 stdev above. This means that approximately 95.4% of all sampled data falls within this range.

95.4% of 75 is 71.55; but obviously you can't have '0.55' of a farm, so I'd likely round to 72.

anonymous · Answer

it said its the wrong answer 
:(

anonymous · Answer

Then try 71?

dumbcow · Answer

its definitely 71 or 72

anonymous · Answer

its 71 thank u so much!

anonymous · Answer

Cool =)

anonymous · Answer

what does a normal distribution mean?
having discrete data?

anonymous · Answer

how were you able to give a solid figure of 95.4%?
thank you

anonymous · Answer

Look up the normal distrubition and standard deviation, salini. The "bell-curve fit" shows how the data lies, and that 95.4% of it lies within two standard deviations of the mean. It's a common method used in statistics.