The following enrolment figures for 20 schools were collected. 934 923 936 931 924 933 933 937 926 923 934 931 929 934 927 927 932 934 927 940.
the difference from an assumed mean were obtained as follows : -2 -2 - 1 1 2 2 2 4 6 6 7 8 8 9 9 9 9 11 12 15
(a) determine the assumed mean
(b) use the assumed mean in (a) to find the mean enrolment.
well, the 4 smallest values are 923, 923, 924, 926
that should point you at the mean
u hav nt help me at all coz i'hav nt understand u, plz gv me the answer of my quiz
To determine the assumed mean, we need to calculate the mean of the differences from the assumed mean.
Step 1: Calculate the sum of the differences:
Sum of differences = -2 + (-2) + (-1) + 1 + 2 + 2 + 2 + 4 + 6 + 6 + 7 + 8 + 8 + 9 + 9 + 9 + 9 + 11 + 12 + 15
Sum of differences = 131
Step 2: Divide the sum of differences by the number of differences:
Number of differences = 20
Assumed mean = Sum of differences / Number of differences
Assumed mean = 131 / 20
Assumed mean = 6.55 (rounded to two decimal places)
So, the assumed mean is 6.55.
To find the mean enrollment using the assumed mean, we need to add the assumed mean to each enrollment figure and then calculate the mean.
Step 1: Add the assumed mean to each enrollment figure:
943.55 929.55 942.55 937.55 930.55 939.55 939.55 943.55 932.55 929.55 940.55 937.55 935.55 940.55 933.55 933.55 938.55 940.55 933.55 946.55
Step 2: Calculate the sum of the enrollment figures:
Sum of enrollment figures = 18,871.10
Step 3: Divide the sum of the enrollment figures by the number of enrollment figures:
Number of enrollment figures = 20
Mean enrollment = Sum of enrollment figures / Number of enrollment figures
Mean enrollment = 18,871.10 / 20
Mean enrollment = 943.56 (rounded to two decimal places)
So, the mean enrollment using the assumed mean is 943.56.