Question

Given the following data set 60,70,74,78,80,80,80,84,94,100 The first quartile (25th percentile) of the data is 1....

  1. Given the following data set

    60,70,74,78,80,80,80,84,94,100

    The first quartile (25th percentile) of the data is

    1.

    60.0

    2.

    73.0

    3.

    70.0

    4.

    75.0

Homework Answers

Answer #1
Serial No (N) X
1 60
2 70
3 74
4 78
5 80
6 80
7 80
8 84
9 94
10 100
the first quartile (Q1) =(N+1/4) th observation
N=10
Q1 = (10+1/4)th item
Q1 = 2.75 th item
Q1 = size of 2nd item + size of 0.75 th item(3rd item - 2nd item)
Q1 = 70 + 0.75(74 - 70)
Q1 = 70 + 3
Q1 = 73
the first quartile (25%) of the data is 73
Answer: Option 2: 73
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For the set of data, find the 25th percentile: 41,43,56,57,62,71,74,78,84,92,97
For the set of data, find the 25th percentile: 41,43,56,57,62,71,74,78,84,92,97
Find the first quartile, the third quartile, and the interquartile range for each data set. (a)...
Find the first quartile, the third quartile, and the interquartile range for each data set. (a) {21, 18, 38, 34, 30, 51, 21, 34} first quartile _________________ third quartile _________________ interquartile range ______________ (b)  {13.1, 7.8, 12.6, 2.3, 6.7, 2.3, 7.4, 2.7, 8.4, 6.6, 6.8, 5.1, 2.2, 5.6, 5.5, 2.1, 7.7, 13.9, 1.6, 1.7}    first quartile _________________ third quartile _________________ interquartile range _____________ (C) {−13, −13, −7, −15, −21, −10, −21, −20, −25, −15} first quartile _________________ third quartile _________________...
Using the given data set to answer the following questions80 60 100 40 40 50 80...
Using the given data set to answer the following questions80 60 100 40 40 50 80 90 100 60 10 80 45 60 30 80 30 90 100 60 50 75 a. find Mean, Median, Mode, Standard Deviation, and Variance: b. find First quartile and Third Quartile c. Find the number which represents the 33th percentile. d. find the percentile of 45 e. find the range and midrange f. construct a box-plot g. Construct a frequency distribution with 5 classes....
The range is a. the 50th percentile of the data. b. another name for the variance...
The range is a. the 50th percentile of the data. b. another name for the variance of the population. c. the difference between the largest and smallest values in the data set. d. the difference between the third quartile and the first quartile.
Given a data set: (n=6): 7, 4, 9, 0, 7, 3     Find the 25 percentile of...
Given a data set: (n=6): 7, 4, 9, 0, 7, 3     Find the 25 percentile of the data
Determine the (a) median, (b), first quartile, and (c) third quartile for the following data. 5.19...
Determine the (a) median, (b), first quartile, and (c) third quartile for the following data. 5.19 6.02 6.67 7.51 7.59 7.99 8.02 8.35 8.81 9.45 9.89 10.37 10.39 11.86 12.21 12.69 13.08 13.61 13.92 15.57
1. In the data set below, the number 35 corresponds to what percentile? 2, 7, 9,...
1. In the data set below, the number 35 corresponds to what percentile? 2, 7, 9, 11, 18, 26, 27, 35, 39, 47, 50, 53, 60 2. In the data set below, what number corresponds to the 70th percentile? 2, 7, 9, 11, 18, 26, 27, 35, 39, 47, 50, 53, 60
The Ghanian National Center for Health Statistics (GNCHS) provides statistical information that guides actions and policies...
The Ghanian National Center for Health Statistics (GNCHS) provides statistical information that guides actions and policies to improve the health of the Ghanians in Ghana. Recent data from GNCHS give the average height of females in the Ghana States to be 65.40 inches, with a standard deviation of 2.75 inches. A random sample of 50 females from the health profession yielded the following height data: 60.0 70.0 61.0 62.0 61.0 58.0 66.0 74.0 58.0 65.0 66.0 72.0 65.0 64.0 74.0...
Given the data set 62 , 65 , 68 , 70 , 72 , 74 ,...
Given the data set 62 , 65 , 68 , 70 , 72 , 74 , 76 , 78 , 80 , 82 , 96 , 101, find a) the median, b) the first quartile, c) the third quartile, c) the interquartile range (IQR).
Refer to the data set: {-1, -3, -5, -7, 0, 0, 7, 9} The 15th percentile...
Refer to the data set: {-1, -3, -5, -7, 0, 0, 7, 9} The 15th percentile of the eight numbers is