Answer:
Mean=84.57
Median=85
Mode=No Mode
Midrange=84
Standard Deviation= 4.1699
Step-by-step explanation:
To solve the mean you just all the numbers then divided by how many numbers are
Mean=(87+85+80+78+83+89+90)/7
Mean=592/7
Mean=84.57
To solve the Median
STEP#1: Arrange the numbers from lowest to highest
78,80,83,85,87,89,90(Lowest to Highest)
STEP#2: From the arrangement of lowest to Highest, find the middle number
78,80,83,85,87,89,90
Mode- To find the mode,the values that appears most(or nauulit na number) in a data set.
in the data, no numbers has been repeated, therefore the data has no mode
Midrange
Step 1: Find the lowest and Highest number in the data set
Step 2: Add the highest and lowest
Step 3: From the result from Step 2 then divided by 2
Step 1: Highest=90 and Lowest=78
Step 2: 90+78=168
Step 3: 168/2=84
Standard Deviation Formula
SD=sqrt(summation(x_i-\mu)/N
\sigma = population standard deviation
N = the size of the population
x_i = each value from the population
\mu = the population mean
Step 1: Get the Mean(or get the result from the Mean)
Step 2: Subtract each number of the data set to the result of mean
Step 3: Squared each number from the result of Step 2
Step 4: Add all the numbers from the Step 3
Step 5: Divide the Result from step 4 by how many number are
Step 6: Square root the Result from Step 5
Step 1: (87+85+80+78+83+89+90)/7=592/7=84.57
Step 2:
87-84.57=2.43
85-84.57=0.43
80-84.57=-4.57
78-84.57=-6.57
83-84.57=-1.57
89-84.57=4.43
90-84.57=5.43
Step 3:
(2.43)^2=5.9049
(0.43)^2=0.1849
(-4.57)^2=20.8849
(-6.57)^2=43.1649
(1.57)^2=2.4649
(4.43)^2=19.6249
(5.43)^2=29.4849
Step 4:
5.9049+0.1849+20.8849+43.1649+2.4649+19.6249+29.4849=121.7143
Step 5:
121.7143/7=17.3878
Step 6:
Sqrt17.3878=4.1699
Variance
Squared from the result of the Standard Deviation
(4.1699)^2=17.3880
Step-by-step explanation:
