Chapter 3
Numerically Summarizing Data
122
14.
11
92
51
21
62
81
36 1
3
5
15
99
μ
++++++++
==
=
15.
142
2.4
59
≈
.
The mean price per ad slot is approximately $2.4 million.
16.
Let
x
represent the missing value.
Since there are 6 data values in the list, the median 26.5
is between the 3
rd
and 4
th
ordered values which are 21 and
x
, respectively.
Thus,
21
26.5
2
21
53
32
x
x
x
+
=
+=
=
The missing value is 32.
17.
420 462 409 236
1527
Mean
$381.75
44
+++
=
Data in order:
236,
409,
420,
462
409 420
829
Median
$414.50
22
+
=
No data value occurs more than once so there is no mode.
18.
35.34 42.09 39.43 38.93 43.39 49.26
248.44
Mean
$41.41
66
+++++
≈
Data in order:
35.34,
38.93,
39.43,
42.09,
43.39,
49.26
39.43 42.09
81.52
Median
$40.76
+
=
No data value occurs more than once so there is no mode.
19.
3960 4090 3200 3100 2940 3830 4090 4040 3780
33,030
Mean
3670 psi
=
Data in order:
2940,
3100,
3200,
3780,
3830,
3960,
4040,
4090,
4090
Median = the 5
th
ordered data value = 3830 psi
Mode = 4090 psi (because it is the only data value to occur twice)
20.
282 270 260 266 257 260 267
1862
Mean
266 minutes
77
++++++
=
Data in order:
257,
260,
260,
266,
267,
270,
282
Median = the 4
th
data value with the data in order = 266 minutes
Mode = 260 minutes (because it is the only data value to occur twice)
21.
(a)
The histogram is skewed to the right, suggesting that the mean is greater than the
median.
That is,
x
M
>
.