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Find the mean, median and mode of the the following test scores.(show solution) 83, 87, 87, 96, 93, 82, 75, 83, 90, 83​

Sagot :

jamirrbinauhan

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:

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