Question

Find the mean, median, and mode for each set of numbers. (If necessary, round your answers to one decimal place. If an answer does not exist, enter DNE.)

(a)    69, 68, 55, 69, 54, 51, 64, 57, 69

mean
median
mode

(b)    75, 49, 56, 35, 49, 33, 76, 70, 48

mean
median
mode

2. he scatter plot shows how long it took different numbers of workers to do the same job.

(a) How many hours did it take the crew of 13 workers to complete the job?
h

(b) How many workers were in the crew that completed the job in 25 hours?
workers

(c) Do the numbers of workers and job completion times show a positive, a negative, or no relationship?

positive relationshipnegative relationship    no relationship

Explain.

As the number of workers x  ---Select--- increases decreases , the job of completion time y  ---Select--- increases decreases .

3. The ages (in years) at inauguration of the first 44 United States presidents are given below.

57, 61, 57, 57, 58, 57, 61, 54, 68, 51, 49, 64, 50, 48, 65,
52, 56, 46, 54, 49, 51, 47, 55, 55, 54, 42, 51, 56, 55, 51,
54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54, 47

(a) Make a stem-and-leaf plot of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)

Stem	Leaf
4
5
6

(b) How many presidents were in their 50s when they were inaugurated?
presidents

(c) What was the age of the oldest president?
yr

Answer 1

- - Soli 1 @ Given ungrouped clata es 69, 68, 55, 69, 54, 51, 64, 57, 69. Number, (x2) "frequencylfi Hi fi 51 51 54 54 55 57 57 64 64 68 68 69 207 Total Exifi = 556 55 -- 3. Efi = 9 i mean (ñ of the ginen data is n=7 & fini = n 556 g = 61.7 n=7 fi i=1 n = 61.7 which is required. frequency means number of observation. Now. For median of ungrouped data, we first arrange the data values of the observation in ascending order of Then if n (no of osez ration) is odd, then median is (nt/th observation and if n is even then median is average mth and (+1)th observation. Now we write the scending 51, 54, 55, 57, 64, 68, 69,69, 69 ungrouped data in asce order

Now 69 51 3 - 1 - - - - Here no of observation, nog which is odd a. Median = (9+)th observation = 5th observation ... Median = 64 which is required. for mode. we form the frequency distribution table of the given data as follows - Number 54|55|57 164 168 frequence Mode = the value of observation having the maximum frequency. Here 69 ob servation has the marimum frequency olmode= 69 which is required Ginen ungrouped data is 75, 49, 56, 35, 49, 33, 76, 70, 48 we write it in ascending order 33, 35, 48, 49, 49, 56, 70, 75, 76 Here no. of observation, n= g which is odd so Median (9+13th observation 5th observation median = 49 which is required mode = value of observation having maximum frequency Here 4g observation has the maximum frequency mode=49 soln b d