Roberta has collected a set of data and calculated the mean to be 34. the set contains 75 numbers, but roberta gets an email telling her to add the following 5 numbers to her data: {23, 26, 32, 33, 40}

to the nearest tenth, what is the new mean for her data?

a) 27.8

b) 30.8

c) 33.8

d) 36.8

C) New Mean = 33.8

Step-by-step explanation:

Mean of collected set of data = 34

Total number of observations = 75

Mean =

Thus, we can  calculate the sum of observations as : Mean × Total number of observations = 2550

5 new numbers were added to data: 23, 26, 32, 33, 40

New sum of observations = 2550 + 23 + 26 + 32 + 33 + 40 = 2704

New total number of observations = 75 + 5 = 80

New Mean = = = 33.8

Thus, option C) 33.8 is the new mean.