Answer questions (a-e) for the following set of data. 3,9,10,5,8,5,9,11,10,3,10
a) find the mean of the data.
b) find the median of the data.
c) find the mode of the data.
d) find the range of the data,
e) find the standard deviation of the data

Step-by-step explanation:

The set of data is 3,9,10,5,8,5,9,11,10,3,10

Rearranging the data so that the smallest one comes first, it becomes

3,3,5,5,8,9,9,10,10,10,11

a) mean of the data =sum of the digits/ total number of digits. It becomes

(3+3+5+5+8+9+9+10+10+10+11)/11

= 83/11= 7.545

b) median is the middle number. Therefore,

Median = 9

c) the mode of the data is the most occurring number in the data. Therefore,

Mode = 10(it occurred three times)

d) the range of the data is the difference between the highest and the lowest number. The highest number is 11 and the lowest number is 3. Therefore,

Range = 11-3 = 8

e)standard deviation = √[(summation(x-u)^2]/n

Where u = mean = 7.545

(x-u)^2 will become

(3-7.545)^2= 20.66

(3-7.545)^2= 20.66

(5-7.545)^2= 6.48

(5-7.545)^2= 6.48

(8-7.545)^2= 0.21

(9-7.545)^2= 2.12

(9-7.545)^2= 2.12

(10-7.545)^2= 6.03

(10-7.545)^2= 6.03

(10-7.545)^2= 6.03

(11-7.545)^2= 11.94

(summation(x-u)^2)/n= 88.76/11=8.07

Standard deviation = √8.07 = 2.84

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.