7. find the mean, median, mode and range of the data set after you perform the given operation on each data value.

14, 7, 34, 29, 14, 6; multiply by 6

8. find the mean, median, mode and range of the data set after you perform the given operation on each data value.

13, 17, 15, 18, 21, 13, 20; add 3.7

Answer with Step-by-step explanation:

Mean=sum of all observations/number of observations

Median=middle term of all observations arranged in ascending order

Mode=observation with highest frequency(the observation which is repeated so many times)

Range=largest observation subtracted by the smallest

7)    14, 7, 34, 29, 14, 6

multiply by 6

84,42,204,174,84,36

Arranging in ascending order

36,42,84,84,174,204

Mean=104

Median=84

Mode=84

Range=168

8)   13, 17, 15, 18, 21, 13, 20

add 3.7

16.7,20.7,18.7,21.7,24.7,16.7,23.7

arranging in ascending order

16.7,16.7,18.7,20.7,21.7,23.7,24.7

Mean=20.41

Median=20.7

Mode=16.7

Range=8

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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