The stem-and-leaf plot shows the numbers of hours 10 students studied for their math exam. Find the mean, median, mode, range, a
2 answers:
The question is incomplete as the stem and leaf plot required to to provide data for y question isn't given.
In other to help with this question, I have attached a stem and leaf plot with 10 data values and I will be calculating the required statistical measures for the dataset. The knowledge can thus be applied to solve similar questions on your exact data set.
Answer:
Kindly check explanation
Step-by-step explanation:
Firstly, we need to write out values if the dataset :
Each value in the dataset is a combination of the stem and the corresponding leaf or leaves.
For the stem plot attached :
Dataset , X : 08, 12, 17, 18, 19, 22, 23, 31, 35, 40
The mean :
Σx / n
n = sample size = 10
= 225 / 10
= 22.5
Arranging data on ascending order :
08, 12, 17, 18, 19, 22, 23, 31, 35, 40
The median :
1/2(n+1)th term
1/2(11)th term = 5.5 th term = (5+6)th term / 2
Median = (19+22)/2 = 20.5
Mode = all dataset (since they all occur once).
Range = (maximum - minimum) = 40 - 8 = 32
Interquartile range : (Q3 - Q1)
Q3 = 3/4(n+1)th term ; 3/4(11) = 8.25th term
Q3 = (8th + 9th) term / 2 = (31+35)/2 = 33
Q1 = 1/4(n+1)th term ; 1/4(11)th term = 2.75 th term
Q1 = (12+17)/2 = 14.5
Interquartile range : (Q3 - Q1) = 33 - 14.5 = 18.5
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Answer:
(a). 2.251 cm , 2.349 cm, 2.295 cm
(b). 0.023 meters.
Step-by-step explanation:
(a). We are asked to to choose the options that shows the actual measurement of the rainfall.
Since the rounded figure is 2.3 cm, this means that either the tenths digit is 3 with hundredths digit less than 5, or tenths digit is 2 with hundredths digit greater than or equal to 5.
Let us check our given choices one by one.
Therefore, the correct choices are 2.251 cm , 2.349 cm and 2.295 cm.
(b) We know that 1 cm equals 0.01 meters.
To convert 2.3 cm to meters, we will multiply 2.3 by 0.01.
Therefore, the rounded measurement of rain would be 0.023 meters.