Teacher Data Using the table of random numbers, select 10 states and find the me
ID: 2907283 • Letter: T
Question
Teacher Data Using the table of random numbers, select 10 states and find the mean of the average teacher's pay and the mean of the pupils per teacher. How do your results compare with the U.S. figures?
of U.S. Public Schools
State Pupils per Teacher Teacher's Avg. Pay AL 16.0 $47,571 AK 14.9 59,672 AZ 18.9 46,952 AR 12.7 14,700 CA 21.4 68,203 CO 17.0 49,202 CT 13.2 64,350 DE 14.4 57,080 FL 15.9 46,708 GA 14.4 53,112 HI 15.2 55,063 ID 18.2 46,283 IL 14.9 62,077 IN 16.7 49,986 IA 13.8 49,626 KS 13.7 46,657 KY 15.8 49,543 LA 14.0 48,903 ME 11.1 46,106 MD 14.3 63,971 MA 13.6 69,273 MI 17.1 57,958 MN 15.4 52,431 MS 31.9 45,644 MO 13.3 45,317 MT 13.4 45,759 NE 13.4 46,227 NV 18.5 51,524 NH 12.7 51,443 NJ 12.0 65,130 NM 14.9 46,258 NY 11.8 71,633 NC 14.8 46,850 ND 12.1 42,964 OH 17.1 55,958 OK 15.5 47,691 OR 18.7 55,224 PA 14.0 59,156 RI 13.0 59,686 SC 14.8 47,508 SD 13.4 38,837 TN 14.7 46,290 TX 14.5 48,261 UT 22.4 45,885 VT 9.8 49,084 VA 11.7 50,015 WA 19.3 53,003 WV 14.3 45,959 WI 14.8 51,264 WY 12.3 55,861 U.S. 15.3 55,202Explanation / Answer
Answer
The mean of the average teacher's pay and the mean of the pupils per teacher for the first ten data sets are calculated
Mean of average Teacher's pay = (sum of all teacher's avg pay for first 10)/(number of number of teacher's avg pay)
this gives
Mean of average teacher's pay =(47571+59672+46952+14700+68203+49202+64350+57080+46708+53112)/10=507550/10
this gives us the Mean of average teacher's pay = $50755
Similarly, mean of pupils per teacher = (sum of pupils per teacher for first 10)/(number of pupils per teacher)
setting the data
we get
mean of pupils per teacher = (16+14.9+18.9+12.7+21.4+17+13.2+14.4+15.9+14.4)/10 = 158.8/10
on solving, we get
mean of pupils per teacher = 15.88
It can be seen that these means for average teacher's pay and number of pupils per teacher are very similar to the US records because there is not much difference the means calculated and given US records.
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