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	55,202

Answer 1

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.